Earth Materials: Structure of Solid Earth, Rock cycle, Common rock forming minerals, Types of rocks and its engineering properties, Soils: processes of formation, soil profile and soil types, Geophysical methods of earth characterization; Earth Processes: Concept of plate tectonics, sea-floor spreading and continental drift, Origin of oceans, continents, mountains and rift valleys, Earthquake and earthquake belts; Volcanoes: types products and distribution; Deformation in Earth’s interior, Faults, Folding and Joints; Dynamic behavior of Earth Surface and role of hydrosphere: River processes, Surface water hydrology, Hillslope processes, catchment erosion processes, Coastal Processes, Groundwater and karst processes; Applications in Civil Engineering and Environmental Management.

Experiments:
1. Study of physical properties of minerals and rocks in hand specimen
2. Study of topographic sheet and analysis of hillslope and watershed features
3. Drawing profile sections and interpretation of geological maps of different complexities.

CE 202 : Sustainability and Environment (1–0–3-3)

Special topics inf the form of case studies will be discussed related to: Introduction to sustainability: humanity and environment, the evolution of environmental policy, climate and global change, climate processes: external and internal controls, modern climate change, climate projections, biosphere, soil and sustainability, biodiversity and ecosystem functions, physical resources: water, pollution, minerals, environmental and resource economics, modern environmental management, systems of waste management, sustainable energy systems, sustainable infrastructure, embodied energy, life cycle, sustainable materials and construction, problem solving and tools of sustainability

CE 301 : Soil Mechanics (3–1–2-5)

Phase relations; Soil classification, index properties, grain-size distribution; Effective stress principle; Flow through porous media, Darcy’s law, permeability, different heads, 2-D Seepage and flow nets; Compaction characteristics; Compressibility and Consolidation characteristics, 1-D compression response, Terzaghi’s theory of consolidation, secondary consolidation; Settlement of foundations, immediate and time-dependent settlement, allowable settlement; Shear-strength of Soil, Mohr-coulomb failure criteria, direct shear and UC tests; in situ test – SPT, CPT; Earth-pressure theory, Coulomb and Rankine approaches; Bearing capacity, failure modes, generalized bearing capacity equation, net- and gross bearing capacity, allowable bearing pressure.

CE 302 : Structural Analysis (3–1–0-4)

Degrees of indeterminacy (flexibility & stiffness); Trusses (including types of trusses), beams and frames: determinate and indeterminate structures, cables and arches; moment area theorem; conjugate beam method; principle of virtual work; energy method; Castigliano’s theorems; unit-load and unit-displacement theorems; reciprocal theorems; Betti's and Maxwell's theorem; method of consistent deformations; slope-deflection method; displacement based methods; influence lines; Muller-Breslau's principle; moment distribution method; column analogy method; Introduction to matrix method. Introduction to using structural analysis software for the analysis of simple structures/structural components.

CE 303 : Geospatial Engineering (1-0-3-3)

Introduction to Surveying, Types of land surveys; Instruments, Topograhpic maps and its interpretation, Measurements and Errors; Units; Types of Errors; Precision and Accuracy; Error Propagation. Concepts of GPS; GPS receivers; GPS positioning mode- point positioning & relative positioning (DGPS & RTK GPS); GPS accuracy and error sources, Applications of GPS. GIS: Introduction, Coordinate systems and datum Projection systems; Spatial data models and data structures; Attribute data input and management; Data editing, exploration and analysis; Digital terrain analysis using DEM data, Path analysis, network applications and watershed analysis.

Practical Exercises
1. Surveying using Total Station and data interpretation
2. Surveying using Kinematic GPS and data interpretation
3. GIS exercises
4. Basin Delineation using DEM data
5. Analyzing the effect of different projections on the map data

CE 304 : Concrete Design (3-1-0-4)

Introduction: Properties of concrete and reinforcing steel, design philosophies, limit state, ultimate load method, working stress method; Loads and load combinations; Elements of Masonry design; Limit state method: Design of Beams: Singly reinforced, doubly reinforced, rectangular, T and L beams; Design of Slabs: One way, two way, waffle slabs; Design of Columns: Subjected to concentric and eccentric axial loading; Design of footings: Individual and combined footing; elements of foundation design; Standard and ductile detailing.

CE 305 : Steel Design (2-1-0-2)

Design of tension members; Design of beams; Design of compression members; Analysis of eccentrically loaded columns; Design of beam-columns; Design of connections (riveted, bolted and welded); Single and built-up sections.

CE 306 : Civil Engineering Materials Lab (0-0-4-2)

Background on stones, bricks, tiles, cement, steel, concrete, paints and polymers with relevant discussions of IS code provisions; concrete mix design; durability of concrete.

Standard consistency, initial and final setting time of cement sample using Vicat’s apparatus; Soundness of given sample of cement and lime by (Le-Chatelier test, autoclave test); Compressive strength of cement sample; Fineness of cement using (dry blank sieving, Blaine’s air permeability method) + Specific gravity and water absorption of coarse aggregate; Fineness modulus and particle size distribution, shape test and abrasion test of coarse, fine, and all in aggregates; Consistency & workability of freshly mixed concrete (slump & compaction test); Cube strength and cylinder strength of concrete of given proportion and given water cement ratio; Tensile strength of steel; Compressive strength and water absorption of burnt clay bricks and stone samples. Bitumen tests.

CE 307 : Masonry Design (2-1-0-2)

Background on stones, bricks, tiles, cement, steel, concrete, paints and polymers with relevant discussions of IS code provisions; concrete mix design; durability of concrete.

Basic structural behavior and design of low-rise bearing wall buildings; Basic material properties; Strength design of unreinforced masonry elements; Allowable stress design of unreinforced masonry elements; Introduction to reinforced masonry; Introduction to confined masonry.

CE 309 : Field Survey Project (0-0-0-2)

Survey camp of 7-10 days: Total station survey, Geological survey, Creating survey map of the area including information about geological features at the site. Identification of different rock types and landforms in the area.

CE 401 : Comprehensive Project - 1 (0-0-3-4)

A big construction project will be considered and will be sub-divided into several components. Teams of students will act as separate ‘consulting agencies’ and will carry out complete planning, analysis, design and construction planning for these components. The teams will be required to merge their designs of individual components of the entire project towards the end and present a consolidated plan, design and construction plan of the entire project.

CE 402 : Geotechnical Engineering (2-1-2-4)

Geotechnical investigations, reconnaissance and investigation plan, drilling, sampling, field-tests, groundwater level, laboratory tests, etc.; Stress-strain-strength behavior of soils, Triaxial tests – UU, CU and CD tests, stress paths, Skempton’s pore-pressure parameters, sample disturbance; Stability of slopes, limit equilibrium methods, ordinary methods of slices and simplified Bishop method, factors of safety; Seepage and stability of earth embankments, Types of foundations - shallow/deep, isolated, combined, mat, etc., contact pressure distributions, soil - foundation interactions, basics of structural design; Design of shallow foundation, bearing capacity, stress distribution in soils, total and differential settlement, plate-load test, structural forces and design; Retaining structures, gravity, cantilever, counterfort, reinforced earth, etc., design and checks for stability; Design of deep foundations, piles, pile groups, well foundations, shaft and base resistances, downdrag, pile load tests; Special topics – Geosynthetics, reinforced earth structures, ground improvement techniques, machine foundations.

CE 403 : Construction Technology & Management (3-0-0-4)

Cost estimating and bidding: material estimates, labor and equipment costs, cost control, purchasing, tender bidding; Project scheduling: bar charts, PERT, CPM, network diagrams; Project management: quality assurance, crisis management, claims management, safety; Construction machinery and methods; Construction accounting and budgeting; Construction law: building codes, local laws, approvals, environmental impact; arbitration; Construction blueprint and plan reading, environmental considerations; Client relations; Introduction to use of project management software

CE 603 : Constitutive Models in Soil Mechanics (3-0-0-4)

Role of constitutive modeling; Importance of laboratory testing with relation to constitutive modeling; Elasticity: linear, quasilinear, anisotropic; Plasticity basics: yield criteria, flow rule, plastic potential, hardening/softening; Rate Independent Plasticity: Mohr-Coulomb, Non-linear failure criteria, Drucker-Prager, and cap models; Critical state soil mechanics: critical state concept, cam-clay models and simulation; Stress-dilatancy theory; Work hardening plasticity theory: formulation and implementation; Applications of elasto-plastic models; Special Topics: hypoelasticity-plasticity, disturbed state concept.

CE 615 : Structural Design for Fire (3-0-0-4)

Review of performance-based design concepts, LRFD cold design of RCC and steel structures; codified models for fire, standard and natural fire; material behavior of steel and concrete constituents in fire; estimation of time-temperature curves for structural members in different fire and exposure/ventilation scenarios; design considerations for individual members exposed to fire: structural members in tension, compression, bending; provisions in Eurocodes and IS 456, 800, 1641, 1642 and 1643 to ensure fire safety; fire proofing materials used to enhance fire resistance of structural members; behavior of structural systems under fire; preventive/protective systems for structures.

CE 624 : River Engineering (3-0-0-4)

Open channel flow; Computations in gradually varied flows and rapidly varied flows;Mathematical description of flow and sediment transport;1-D/2-D/3-D computations in river flows; Dam break flow on rigid and mobile beds; Meandering of rivers; River training works including flood protection due to river overflow,levee, river bed lining,bridge pier protection due to river water flow;Design of bridges, dams, spillways; Irrigation control structures; Indian standards related to river engineering; Flow measurements in rivers; Physical modeling of river flows;Protection of river water from pollution;Introduction to various Indian agencies (CWC, NIH, CWPRS etc.); Field trip to a river;Project work .

CE 625 : Advanced Hydraulic Engineering (3-0-0-4)

Open Channel Flow: Uniform flow, Critical flow, Gradually varied flow (GVF), Computations in GVF, Sediment transport, Design of canals, Hydraulic jump, Flow past sharp- and broad-crested weirs, Design of spillways, Flood routing, Dam-break flow, Hydraulic design of bridges

Pipe Flow: Head losses in pipes, Pipe network analysis, Transients in pipes, Detection of leak and partial blockage

Flow measurements and laboratory scale modeling

CE 626 : Earthquake Engineering (3-0-0-4)

Earthquakes: structure of earth, movement of plates, types of faults, P wave, S wave, surface waves, characterization of earthquakes and earthquake-induced ground motion; response spectra for individual ground motion records, site-specific response spectra, design spectra; single-degree-of-freedom systems; multi-degree-of-freedom systems; analysis, design and detailing of RC frames based on state-of-the-art and various codes IS 456, IS 1893 & IS 13920; Special topics: selection and scaling of ground motions, characterization of seismic hazard, seismic analysis and design of bridges, retaining walls, liquid-storage tanks, dams etc., design of non-structural components, passive structural control

CE 627 : Slopes and Retaining Structures (3-0-0-2)

Stability of slopes, stability analysis, seismic analysis, probabilistic analysis, design of earth embankments and dams; Earth pressure theories; Earth retaining structures: rigid and flexible, Braced excavation; Reinforced earth structures; Buried structures, Case studies.

CE 628 : Applied Hydraulic Transients (3-0-0-4)

Transients in pipe flows: Causes of transients; Governing equations; Method of characteristics, Transients caused by centrifugal pumps, Hydraulic transients in long oil pipelines, Resonance in pressurized piping system, Methods to control transients, surge tanks. Transients in open channel flows: Causes of transients, Governing equations, Method of characteristics, Explicit and Implicit Finite Difference methods, Sediment routing, Coordinate transformation and two-Dimensional flow simulations, VOF method for surface tracking.

CE 629 : Geosynthetics

Historical background, Types, Manufacturing Methods, Functions, Typical Applications; Geosynthetic Testing, Physical, Mechanical, Construction survivability and durability testing of Geotextiles and Geogrids; Principles of Soil Reinforcement, Types of Reinforcement, Testing, Allowable loads for design (creep etc.), Elements of Design + NCMA Method, Fill Material, Detailed Design of Reinforced Soil Walls (BS 8006), Reinforced Slopes (BS 8006), Facia and Construction Methodology, Specifications, Bearing capacity Improvement, Embankments on soft soils, Basal Reinforcement – Design, Geocell – Design, Construction and Specification, IRC/MORTH Guidelines, Case Histories; Filteration and Drainage, Principles, Typical applications, Dams, French Drains, Testing, Design Principles, Specifications; Pavements and Airports; Influence of cyclic loading, Design for soft soils (unpaved) and new construction – Granular layers, GS in Bituminous Pavements – new construction and rehabilitation, Construction and specifications, Rural Road applications, Railway Tracks, Indian experiences; Natural fibre Materials, Jute and Coir Geotextiles - Products, Processes; Environmental Control, Erosion Control, Mechanics of Erosion, Methods of Control, Products, Design for various conditions, Silt Control, Land slides – Occurrence and methods of mitigation, Liners for Pounds and Canals; Engineered Landfills, Municipal Solid Waste, Hazardous Waste Landfills, Site location –MOEF Guidelines, Covers and liners, GCLs, Material aspects and, Design, construction and maintenance, the Indian Scenario

CE-607: Advanced Structural Analysis (3-0-0-4-6*)

Review of Elementary Structural Analysis, Static indeterminacy, Indeterminate system, Truss analysis, Energy Method, Slope-Deflection Method, Analysis of Portal Frames; Matrix method of Structural Analysis, Structural analysis using stiffness matrix and flexibility matrix, and Direct stiffness method; Conceptual Transition from Direct Stiffness Method to Finite Element method, Truss and frame elements, Shape functions, Properties of stiffness matrix, Discretization; Introduction to Nonlinear Analysis, Introduction of geometric and material nonlinearities, P-delta effect, Moment-Curvature relation, Moment – Rotation relation, P-M-M interaction; Special topics: Nonlinear Analysis of structures, 2D Frame analysis with geometric nonlinearity, 2D Frame analysis with material nonlinearity, 2D Frame analysis with both geometric and material nonlinearities.

Structural engineering historical background; Construction materials; Review of structural analysis; Simplified analysis; Computer analysis vs. manual analysis; Codes of Practice; Loads (dead, live, earthquake, wind, etc.) on structures; Load combinations; Discussions on various structural analysis problems; Calculations and drawings; Organizations and management; Professional liability concerns; Design tools; Structural load path; Group or individual project (design a structure of your choice); Design project report preparation and presentation; Review of project by professional experts.

CE-622: Structural Dynamics (3-0-0-4-6*)

Course contents:
Single Degree Freedom System (equation of motion; free and force vibrations; seismic excitation; time history analysis; response spectrum; approximate methods), Multiple Degrees Freedom System (eigenvalue problem; shear buildings; mode superposition method; modal combination rules; time history analysis), One story system (lateral-torsional coupling; non-orthogonal lateral coupling; directional combination rule) and introduction to continuum systems (flexural beam, its natural properties, response due to seismic excitation)

CE-623: Structural Ability and Control (3-0-0-4-6*)

Stability of rigid and discrete systems, Static, dynamic, imperfection and energy approaches to stability; Buckling; Snap through and post-buckling; Stability of continuous systems- columns beams and beam-columns; Inelastic buckling; Stability of frames; Numerical methods in stability- Timoshenko, Rayleigh Ritz and Galerkin methods, Direct stiffness method in stability problems; Stability of plates, stiffened plates and shells.

CE-610: Mitigation of Design and Construction Challenges (3-0-0-4-6*)

Course contents:
Identification of nature of the work; Design issues: complex design and calculation, code and regulatory issues, documentation and updating calculations, cost over-run, schedule; Construction issues: type of construction, climatic condition, terrain condition, quality control, material availability, time delay, labor issues, cost-schedule constraints, lost time recovery; Project control and management: evolution of project management, training, planning, work breakdown structure, various methods controlling cost and schedule, inflation factor, delay for various reasons, risk management, event chain, critical events, Gantt chart, project tracking-progress monitoring and controlling, analysis of measureable goals, financial (cost-benefit) analysis, stakeholder analysis, milestone analysis, cost trend analysis, value benefit analysis, target and actual comparison, International standards, various software, quality assurance and control;Safety issues and control; Legal aspects: Claim; avoidance; liability.

Hydroclimatology, water balance, understanding hydrologic change, statistical representation of hydrologic data, flood frequency analysis, understanding frequency of droughts, hydrologic design, hydrologic time series analysis, parametric and non-parametric trends, spectral analysis, wavelet analysis, uncertainty analysis, hydrologic modeling, and hydrologic forecasting

Soil Composition, structure and classification; Shear strength of soils: Failure analysis, UC, DS and UU tests; Characterization of ground: Designing an Investigation plan, In-situ test such as SPT, DCPT, CPT, etc, Sampling techniques; Bearing capacity: Failure modes, Generalized equation, Codal provisions, General correlations and interpretations from situ tests. Compressibility behavior of soils: Compaction & Consolidation, Settlement of foundations: stress in soils, immediate, consolidation and creep settlements, methods based on in situ tests; Dynamic properties of soils, Geophysical investigation, general correlations; Special topics: Ground Improvement Techniques, Geosynthetics, Liquefaction, Expansive soils, Soft soils, Solid waste & Landfill.

CE 602: Analysis and Design of Foundation Systems (3-0-3-5)

Stress-strain behavior of soils, CU and CD tests, p-q space, stress path; Constitutive models, Design of shallow foundations, Isolated and combined footings, Rafts; Design of deep foundations, piles, piled rafts, well foundations; Foundation optimization, Soil dynamics, Machine foundations. Geotechnical Investigation and design project: field and laboratory tests, interpretations, reporting, design parameters, analysis and design of foundation system.

CE 613: Analysis and Design of Masonry Buildings (3-0-0-4-6)

Course content:
Masonry materials and components; general design considerations for masonry structures per Indian and international standards; design of masonry beams; design of masonry loadbearing walls for concentric and eccentric axial loads, including slenderness effects; seismic performance of masonry buildings; an overview of the seismic design provisions contained in Indian standards; seismic design of masonry shear walls for in-plane and out-of-plane seismic loading; seismic design of unreinforced, reinforced, and confined masonry buildings; seismic evaluation and retrofit of masonry buildings.

CE 308 : Water Resource Engineering (2-0-3-4)

Hydraulic processes: control volume approach, continuity, energy, momentum, velocity distribution, Hydrologic processes: introduction to hydrology, precipitation, evaporation, and infiltration, Surface runoff: drainage basins and storm hydrograph, hydrologic losses, unit hydrograph, Streamflow routing: hydrologic reservoir routing, hydrologic river routing, hydraulic routing, Introduction to pipe flow: classification of flow, head losses, forces in pipe flow, Introduction to open channel flow: steady uniform flow, specific energy and specific forces, steady and gradually varied flow, rapidly varied flow, discharge measurement, Introduction to groundwater flow: groundwater concepts, saturated flow, steady state one dimensional flow, steady state well hydraulics, transient well hydraulics, and boundary effects

CE 605 : Remote Sensing of Land and Water Resources (3-0-0-4)

An overview of remote sensing, Electromagnetic radiation principles, Remote sensing data collection, Geometric correction, Image enhancement, Image interpretation, Image classification, Band transformation, Thermal infrared remote sensing, Change detection, Feature extraction, Monitoring of land and water resources, Accuracy assessment, Remote sensing of soil, vegetation, water, and urban areas, Object oriented classification, and Spectral Indices.

CE 606 : Rock Mechanics (3-0-0-4)

Engineering properties and classification of intact rock and rock masses; Geophysical methods and deformability tests in rock mass; Estimation of stresses in rock mass; Rock tunneling; Stability of rock slopes; Drilling and Blasting for underground and open excavations; Grouting in rocks; Rock reinforcement; Rock foundation.

CE 621 : Introductory Structural Dynamics and Earthquake Engineering (3-0-0-4)

CG-504: Research Methods in Cognitive Science (2-0-2-4-6*)

Research methods: Null Hypothesis formulation & testing, dependent & independent variables, qualitative, quantitative and categorical data, measurement scales, descriptive and inferential statistics (measures of central tendency, significance testing, ANOVA, repeated measures, posthoc testing, correlations, chi-square tests); Experimental design:single subject, between-group and within-group designs, randomization, factorial, parametric, subtractive, conjunction type designs; Research Tools: Review of basic mathematics, experimental psychology software (psychtoolbox, eprimeetc), Statistics using PSPP/Matlab/R; Research ethics and scientific writing with reference to APA guidelines.

CG-501: Computation and Cognition (3-0-0-4-6*)

Mechanistic/algorithmic approaches and issues addressed by these approaches: parallel versus serial processing, flow of information, timing effects. Rational/probabilistic approaches and issues addressed by these approaches: adaptation to the environment, behaviour under uncertainty, learning, timing effects. General issues: top-down versus bottom-up processing, online processing, integration of multiple sources of information. Methodology and issues in the development and evaluation of cognitive models: Which psychological data are relevant? What predictions are made by a model? How could these be tested? Modelling techniques: in the assignments, students will experiment with both symbolic (rule based) and subsymbolic (probabilistic) cognitive models.
Connectionist models | Bayesian models |Dynamic system models |Logic/symbol-based models | Classical cognitive architectures/production models | Unified Theories of Cognition, Cognitive Architectures and Frameworks. COGENT as a modelling framework
SOAR and ACT-R as cognitive architectures | Models of specific cognitive functions

CG-502: Foundations of Cognitive Science (3-0-0-2-3*)

The course aims to discuss the foundational assumptions and transdisciplinary framework of cognitive science.

Philosophical foundations of cognitive science; fundamental presuppositions in cognitive science; development of cognitive science; fundamental questions on mind, brain and behavior
Computational approaches; multidisciplinary approaches and paradigms in cognitive science
Research frameworks.

CG 503: Fundamentals of Cognitive Psychology (3-0-0-4)

Complexity involved in mental processes; Perception and attention; Basic processes in vision. Object and face recognition; Attention and performance; Learning, memory and forgetting. Language and thinking; Language comprehension and production; Reading and speech perception; Judgment and decision making; Cognition and emotion

CG 505: Fundamental Neuroscience (3-0-0-4)

Foundational principles of neuroscience
Cellular basis of nervous system function
Neural circuits and systems
Sensory systems
The structure and function of the motor system
Cognitive neuroscience and higher order brain function
Attention, language, memory and executive functions
Neuroanatomy and damage to the nervous system.

CG 506: Experimental Techniques in Cognitive Science (2-0-2-4-6)

Course contents:
Introduction to experimental design – Hypothesis; Independent and dependent variables; principles of Reaction Time studies.
Applying statistical techniques – lab based module primarily intended to create a practical awareness of statistical testing. This will include many example data datasets and deciding what an effective test is and how to do it.
Data interpretation – what does significant statistical results mean. How does these numbers inform about mental processes.
Writing – Including effective writing techniques; how to report statistics.
Hands on experience in different behavioural and imaging methodology including eyetracking, EEG etc

CG 507: Evolutionary Neuropsychology (3-0-0-2)

Paleoneuropsychology is the study the evolution of the structures and functions of the human brain. It is an emerging multidisciplinary science that spans the fields of anthropology, archaeology, cognitive neuroscience, and psychology. This course is designed as introduction to the specific structures and functions of the human brain with particular attention to empirical brain research advances since 2000. It is also designed as an introduction to the evolution of the human brain (size, shape, neurons, chemical neurotransmitters, etc.) and the evolution of human cognitive processes such as memory, language, dreaming, and creativity

CG 508: Cognition and Culture: Anthropological perspectives on the Human Mind (3-0-0-2-3)

Course contents:
History of the relationship between linguistic science, the philosophy of language, cognitive sciences and neurosciences and anthropological reflection
Critical reflection on rationality
Revision of the issue of compared semantics, with a focus on the early contributions of the Boasian school on linguistic relativity and on the impact of structural linguistics in anthropological studies on symbolic logic in the period after the Second World War.
Semiotic and cognitive perspectives
The contemporary debates about the relationship between cultural and verbal vs non-verbal cognition.

CG 509 : An Introduction to Cognitive Linguistics (3-0-0-2)

Tools of linguistic description; From grammar to bio-linguistics - an overview; A theory of language structure as a theory of knowledge of language; A Model of linguistic structure: Universal Grammar and the grammars of a particular language; A traditional Indian and a modern approach to meaning in language in use; Understanding metaphor; Cognitive narratology.

CG 510 : Classics in Brain Science (3-0-0-2)

Half semester course examining, at an advanced level, classic research that has shaped current understanding of brain function. Following topics will be covered:
1. Generation and transmission of neuronal signals (
2. Intercellular communication
3. Vision
4. Proprioception (Processing of somatosensory information and organization of somatosensory cortex. Classic experiments by Vallbo, Matthews and Willis)
5. Spinal Reflexes (Classic experiments on reflex circuit organization by Sherrington, which won him the Nobel prize; work by Matthews, Eccles and Lundberg on reflex physiology).
6. Control of voluntary movement (organization of motor cortex, descending projections from motor cortical areas, movement planning and control all examined via studies of Evarts, Georgopoulos, Strick and Kalaska)
7. Learning and Memory (Cortical basis of learning and memory, two learning/memory systems, retention and recall of memories as explained by the definitive work of Squire, Poldrack and Nobel prize winner Kandel)

Modern techniques used in research in the above areas will be introduced alongside the discussion on each topic.

CG 511 : Perception and Attention (3-0-0-4)

Information processing view and ecological approach to perception; The visual anatomy and physiology; Psychophysical methods; Perception of color, motion and depth; Theories of attention – FIT, CODE, TVA etc; Mechanisms of selection; locus of control; Inhibitory processes in selection etc; Experimental paradigms (cueing, visual search, and phenomena like in attentional blindness and attentional blink)

CG 512 : Learning and Memory (3-0-0-4)

Psychological theories of learning, behavioral and cognitive approach to learning. Classical conditioning, reinforcement learning and Motor learning. Types of Associations, Biological constraints on classical conditioning. Procedures of shaping behavior, Role of reinforcer.

Theories of memory, Storage, Encoding and retrieval, Types of Memory, techniques of testing memory. Localization of memory, Mechanisms of Memory, memory disorders

Neurobiology of learning and memory, functional network of brain areas involved in learning and memory

CG 513 : Behavioral Economics (3-0-0-4)

Introduction: Historical development of the field, interdisciplinary perspectives linking psychology, economics and neuroscience, Overview of the field with real life examples.

Modes of thought, Heuristics and biases: Modes of thought (intuitive and deliberative), heuristics (anchoring and availability, representativeness), Biases (Framing effects, mental accounting), taming intuitive heuristics, self-regulation in the brain, The positive side of heuristic decision making.

Choice under certainty - concept of preference in rational choice theory, revealed preference, decision making under certainty. Choice under uncertainty – The concept of value and utility under uncertainty, psychological weighting of probabilities, deciding about prospects, gains and losses, Neural representations of subjective value and choices in the brain.

Thinking over time - Discounted utility, hyperbolic discounting, affective forecasting biases, retrospective experiential biases for value computation.

Applying behavioral economics - Marketing examples from prospect theory, choice architecture, Real examples of nudges for better health, wealth and happiness.

CG 514 : Consumer decision making (3-0-0-4)

Preliminaries: Introduction to consumer behavior, attention and perception, memory, motivations, valuation, self-conceptualization, framework of consumer decision making; Product search: Information search and sampling, processing limitations and overload, decision strategies and heuristics, contingent decision making and selection, influence of brands; Price perception: Conception of price as a stimulus, reference prices and thresholds, theories of price perception, processing price frames, judgments based on price, influence of price changes; Consumers through the lens of the econometric method: Introduction to rational choice framework, preferences, demand curves and decisions, applications of rational choice and demand; Consumers through the lens of marketing research: Introduction to marketing research, measuring pre and post purchase behavior, pricing strategies, sample insights and case studies.

CG 515 : Phenomenology, Embodiment, and Consciousness

This course introduces Phenomenology, the various forms that it takes (Transcendental, Genitive, Existential, Feminist, Post-, Neuro), its emphasis on description (particularly first-person experience), and the role of the body in consciousness. Phenomenology as a method is oriented around what is called the ‘époché’ or bracketing (phenomenological reduction), wherein the subjective concerns of an individual are placed ‘in brackets’ in order to move toward an accurate description of the things themselves. We will discuss whether or not such a bracketing is possible, the role of Phenomenology in description and pay particularly close attention to concepts such as sedimentation, constitution, institution, intentionality, incorporation, extension, habit, bodily motility, spatiality, intersubjectivity, and body/mind dualism as they are presented through the work of founding figure of Phenomenology, Edmund Husserl, the Existential Phenomenology variation and focus on the body disclosed in the work of Maurice Merleau-Ponty, and the potential for intertwining Phenomenology and Cognitive Science in the more recent disclosure of Neurophenomenology.

CG 601 : Motor Learning and Memory

Motor systems in the brain – motor and premotor cortices, parietal and frontal cortices, basal ganglia and cerebellum; Approaches to studying motor learning – defining and measuring motor learning, designing experiments on learning, alternative methods for measuring learning, issues about “amount” of learning, understanding differences between learning and changes in performance; Learning of motor sequences – implicit versus explicit learning, chunking, role of sleep, neural basis, disruption in different brain disorders; Adaptation learning – adaptation to novel dynamical and visual perturbations, sensory signals responsible for adaptation, generalization and transfer of learning, elementary computational models, neural basis; Learning under unstable and unpredictable conditions – motor noise, impedance control, feedforward and feedback components of impedance control; Motor skill learning – use dependent learning, “model-free” reinforcement learning, neural basis; Vocal learning in songbirds – role of variability and use of exploration, critical period, neural circuits, application to human speech learning; Application to neurorehabilitation and robotics – motor learning principles in rehab, robot-assisted rehab, error augmentation strategies, model of motor recovery after stroke, concurrent force and impedance adaptation in robots, robotic implementation.

Introduction to Structure and Models of Bonding; Strain and Stability; Solutions and Non-covalent Binding Forces; Molecular Recognition and Supramolecular Chemistry; Acid-Base Chemistry; Stereochemistry; Energy Surfaces and Kinetic Analyses; Experiments Related to Thermodynamics and Kinetics; Catalysis; Organic Reaction Mechanisms Part I- Reactions Involving Additions and/or Eliminations; Part II- Substitutions at Aliphatic Centers and Thermal Isomerizations /Rearrangements; Organotransition Metal Reaction Mechanisms and Catalysis, Organic Polymer and Materials Chemistry, Advanced Concepts in Electronic Structure Theory, Thermal Pericyclic Reactions, Photochemistry, Electronic Organic Materials.

Introduction to biological spectroscopy techniques viz Electronic Spectra, Circular Dichroism, with emphasis on techniques of Fluorescence: Introduction to Fluorescence, Instrumentation, Fluorophores, Lifetime measurements, Dynamics of solvent and spectral relaxation, Quenching of Fluorescence, Fluorescence anisotropy, Energy transfer, Protein Fluorescence, Fluorescence Sensing, Fluorescence Lifetime Imaging, Single molecule detection, Fluorescence Correlation Spectroscopy.

Inspiring properties of biological systems, Bio-inspired analogs and mimics, Classes of synthetic modifications and artificial self-assembling systems: nucleic acids (PNA, LNA), beta-peptides, artificial lipids and carbohydrates, Bio-inspired materials as sensors, Conjugation of biological molecules with micro- and nanomaterials, diagnostics & therapeutics inspired by biomacromolecules, bio-inspired molecules in imaging, Case studies of commercially viable bio-inspired entities.

Biochemical unity underlying biological diversity; DNA- interplay between form and function, Flow of gene, molecular biology of DNA, RNA; Gene Expression (transcription and translation); Concepts from Chemistry to explain the properties of biological molecules, Proteins- different levels of structures, folding and mis-folding; Protein Purification techniques; Concept of Genetic Engineering; Hemoglobin, Bohr effect, Enzymes- basic concepts; Carbohydrates; Lipids & Lipid membranes;Membrane channels and pumps; Signal-transduction pathways, Metabolism - basic metabolic cycles; Basic understanding of diseases such as cancer; Alzheimer’s; Parkinson’s; Autism etc.,

CH 612 : Fundamentals and Applications of Electrochemistry (3 – 0 – 0 – 6 – 4)

Introduction to Electrochemistry; Redox reactions, Electrochemical cells Electrode processes, Electrode potentials, Electrochemical mass transfer; Migration, Diffusion, Electric double layer, Electron transfer; Nernst Equation, Butler-Volmer equation, Tafel equation, Instrumental methods in electrochemistry; Methods involving forced convection; Impedance spectroscopy, Static and Dynamic Techniques, Electrode reactions with coupled chemical reactions, Special Topics; Electrocatalysis and Photoelectrochemistry.

The objective of this course is to discuss the basic principles and chemical aspects of two therapies widely used for the treatment of cancer.
(a) Chemotherapy: General introduction, types of chemotherapy (drug administration into body), precautions; an overview of chemotherapeutic drugs their course of action for the treatment of various types of cancers, possible side effects of chemotherapy.
(b) Photo Dynamic Therapy: What is PDT and how it can be used for the treatment of cancer? Types of photosensitizers (PDT drugs) and their localization, possible side effects of PDT.

CH-503: Fundamentals of Analytical Chemistry (3-0-0-4-6*)

Tools of Analytical Chemistry; Chemicals, Apparatus, and Unit Operations of Analytical Chemistry; Using Spreadsheets & Calculations Used in Analytical Chemistry; Errors in Chemical Analyses, Statistical Data Treatment and Evaluation, Sampling, Standardization, and Calibration; Chemical Equilibria, Aqueous Solutions and Chemical Equilibria. Effect of Electrolytes on Chemical Equilibria, Classical Methods of Analysis, Gravimetry, Titrimetry, Neutralization, Complexation; Electrochemical Methods, Oxidation-Reduction Titrations, Potentiometry, Electrogravimetry and Coulometry, Voltammetry; Spectrochemical Methods, Optical Spectrometry, Molecular Absorption Spectrometry, Molecular Fluorescence Spectroscopy, Atomic Spectroscopy; Kinetics and Separations, Kinetic Methods of Analysis, Introduction to Analytical Separations, Gas Chromatography, HPLC; Practical Aspects of Chemical Analysis.

CH-502: Chemistry of Natural Products (3-0-0-4-6*)

Heterocyclic compounds, Imidazoles, oxazoles, thiazoles, pyridazines, pyrimidines and pyrazines; Reactions involving heterocyclic compounds; Terpenoids: Alkaloids; Steroids: Antibiotics; Carbohydrates; Vitamins; Nucleic acids; Amino Acids and proteins; Biosynthetic pathway of important natural products.

CH 624: Selected topics in physical chemistry (3-0-0-4-6)

Course contents:
Solid state Chemistry- Introduction to crystal structure, Bonding and electronic properties of solids, Defects and non-stoichiometry, Brag’s law and application, Descriptive solid state chemistry, Introduction to phase diagram, electrical and magnetic properties, symmetry elements and point groups.
Molecular spectroscopy- Theories of spectroscopic; vibrational and rotational spectroscopy, photo electron spectroscopy, magnetic resonance spectroscopy.
Surface chemistry- Heterogeneous catalysis, adsorption isotherms.
Introduction to electrochemistry- Redox reactions, Electrode processes, Electric double layer, Electron transfer and kinetics; Nernst Equation, Butler-Volmer equation, Tafel equation, Instrumental methods in electrochemistry; cyclic voltammetry and steady state techniques; Electrode reactions with coupled chemical reactions, Special Topics; electrocatalysis, batteries, and fuel cells

CH 625: Chemical Microscopy (3-0-0-4-6)

Course contents:
Fundamentals of optics (reflection, refraction, dispersion, objectives, aberrations, illumination, image formation, resolving power, and image contrast);Polarized light microscopy (In-situ imaging, measuring anisotropy, melting point determination, contaminant identification, phase transformations);Phase contrast and interference contrast microscopy; Confocal microscopy coupled with fluorescence spectroscopy and Raman spectroscopy for chemical mapping; Advanced techniques in fluorescence microscopy (Fluorescence Resonance Energy transfer, Fluorescence lifetime imaging, fluorescence recovery after photo bleaching, fluorescence correlation spectroscopy); Scanning probe microscopy (Near field optical microscopy, chemical force microscopy, scanning thermal and tunneling microscopy); Electron microscopy (field emission, combination with x-ray and auger electron spectroscopy ;Ultraviolet and Infrared microscopy for chemical imaging; Overview of microscopic practices

CH 626: Fundamentals of Chemical Process Safety (3-0-0-4-6)

Course contents:
Importance of Process Safety Management (PSM) through major disasters in chemical process plants, Safety regulations related to process safety and related Indian standards, Identifying hazards in process industries and HAZOP analysis with case studies; Handling toxic and flammable materials in process industries; Fire and Explosion, Runway reactions and general aspects of reactor safety; Different class of criticality or severity and assessment of severity of the process; risk assessment of different chemical processes through event tree and fault tree analysis and related case studies; Source models and dispersion models with case studies for toxic materials release in plant environment.

CH 301 : Forensic Chemistry (3-0-0-2)

Chemicals underlying evidence; chemistry of controlled substances; methods of extraction, purification and sample purification for further analysis; methods for detection and identification of trace substances; basis of analytical assays; DNA based and biomolecular forensics; statistical treatment of forensic evidence; legal norms for chemical forensic evidence; ethics of biological forensic analysis.

CH 401 : Biomolecular Forensics (3-0-0-2)

Basic principles of using biomolecules as a means of identification; unique characteristics specific to biomolecules.

Availability of and extraction of biomolecules from scene of interest. DNA collection and quantitation from samples. Protein Based Markers (from blood, serum, tissues). Amplifying DNA through Polymerase Chain Reaction (PCR), multiplex PCR, optimizing PCR, DNA sequencing, applications for DNA molecules, technologies for separation of DNA; Unique DNA sequences for identification, variable number tandem repeats (VNTRs) and short tandem repeats (STRs); Interpreting data, storage and mining in the context of DNA typing; Introduction to forensic DNA databases; statistical interpretation of biomolecular forensics; statistical genetics; Y-chromosome, mitochondrial DNA and non-human DNA testing; Legal limits and issues in use of DNA forensics.

CH 511 : Quantum Chemistry (3-0-0-4)

Review of mathematical methods. Vectors, matrices, determinants, eigenvalues and ordinary differential equations; Solution of the Schrodinger equation for exactly solvable problems like particle in a box, particle in a ring, harmonic oscillator, one dimensional potential step and wells.

Angular momentum; Hydrogen atom; Variation Method and Perturbation Theory; Valence bond and molecular orbital theories; Hückel approximation

CH 512 : Reactions and Mechanisms in Organic Chemistry (3-0-0-4)

Substitution, Elimination and Addition Reactions: Nucleophilic aliphatic substitutions, Elimination reactions, Structural and solvation effect on reactivity, and Electrophilic, nucleophilic and free radical addition reactions. Electrophilic, nucleophilic, and Transition metal-catalyzed aromatic substitution reactions, and Aromatic radical substitution.

Oxidation and Reduction: oxidation of alcohols, ketones and aldehydes (transition metal oxidants, peroxides and peracids etc.), allylic oxidation, oxidation of C-C double bonds (epoxides formation, ozone, KMnO4, OsO4 etc.). Catalytic hydrogenation of functional groups, Group III hydride donor reagents (LAH, NABH4, DIBALH, B2H6), Groupd IV hydride donors (Silicon hydride and hydride transfer from Carbon).

Functional Group Interconversion: Conversion of alcohols to alkylating agents, installation and removal of common protecting groups, Interconversion of carboxylic acid groups.

Stereochemistry: Stereoisomers, Optical isomerism and Chirality, Resolution, Stereoselective/Setreospecific/Enantionselective reactions.

CH 515 : Electrochemistry (3-0-0-4)

Introductory principles in electrochemistry; Conductance, Transference number, ionic conductivity and Redox reactions, Electric double layer; different models, capacitance, Electron transfer and kinetics; Nernst Equation, Butler-Volmer equation, Tafel equation, Instrumental methods in electrochemistry; cyclic voltammetry and steady state techniques; Special Topics; electrocatalysis, batteries, and fuel cells.

CH 517 : Bioinorganic Chemistry

Biogeochemical cycles: Energy transduction between biotic and abiotic world (Emphasis on the carbon, hydrogen, and nitrogen cycles); Transport and storage of metals in biology: Transferrin and Ferritin will be discussed in details by using iron as a model system; Metals in medicine: Development and current usage of various metal based anti-cancer agents and MRI contrast agents; Hydrolytic chemistry by metalloenzymes: Role of acid-base chemistry in biology. Examples of Carbonic anhydrase, Urease, and Acotinase will be discussed in details; Electron transport in biology: The basic concepts of electron transport through proteins. Roles of [Fe-S] clusters and Copper cofactors. Fundamentals of Photosynthesis, and Respiration; Detailed study of complex metalloenzymes: [NiFe]- and [FeFe]-Hydrogenase, and Nitrogenase.

CH 518 : Chemical Kinetics & Rate Processes

Rate laws, order of chemical reactions (1st order, 2nd order, pseudo 1st order, 0th order, and fractional order), various methods for determination of order of chemical reactions such as differential method, integration method, and isolation method; Rate constants, factors determining reaction rates in solution, collision and transitional theory, application of collision theory on chemical reactions in solutions, reactions between ions in solutions; Composite reactions, steady state and rate determining steps in various composite organic and inorganic reactions such as reactions between hydrogen and halides, decomposition reactions of ozone, acetaldehyde, and ethane, inhibition mechanism, polymerization reactions; Photochemical reactions and mechanism, flash photolysis, photosensitization process, generation of reactive oxygen (singlet) through photosensitization.

CH 519 : Statistical Thermodynamics and its Applications in Chemistry

Concept of ensembles, Canonical ensemble, Boltzmann distribution, Thermodynamic quantities and canonical partition function. Grand canonical ensemble, Fermi-Dirac and Bose-Einstein distributions.

Molecular partition functions, Translational, rotational and vibrational partition functions. Influence of degeneracy on the partition function: Application to atoms and molecules; Molecular symmetry and relationship with partition function. e.g. How to treat NH3 vs SO3; Ideal monoatomic and diatomic gases, Classical partition functions, thermodynamic properties, Entropy, Equipartition theorem; Chemical equilibrium. Relationship between equilibrium constant and partition function. Application to chemical reactions like formation of H2O; Real gases, intermolecular potential and virial coefficients. Debye and Einstein theory of heat capacity of solids. Structure and thermal properties of liquids, Pair correlation functions.

CH 520 : Introduction to Molecular Modelling

Provides an introduction to molecular modelling. Course covers the following topics.

Empirical force field models: Molecular mechanics; Molecular Dynamics simulation method; Energy minimization methods for exploring the energy surface; Density Functional Theory.

The course will introduce students to bio-molecular simulation programs CHARMM and NAMD. The Gaussian 09 package will be introduced to perform DFT calculations. Tutorial sessions will be included into the curriculum. The course requires a project to be completed for credits.

CH 627 : Metabolism & Biosynthesis (3-0-0-4)

Chemistry of Digestion and Absorption Processes:
Digestion and absorption of carbohydrates, lipids and proteins; Solute transport; Solubility of substrates and products; Molecular chaperones for absorption

Metabolic Pathways and Control:
Location of carbohydrate, lipid and protein metabolism pathways with respect to one another; common metabolic sources and fates; compartmentalization of metabolic pathways; regulation of carbohydrate, lipid and protein metabolism; synthesis, storage and utilization of energy sources; thermodynamic relationships among pathways

Biosynthesis:
Synthesis of biomolecules (carbohydrates, lipids and proteins) from common building blocks; transport and regulation of synthetic precursors; common intermediates in synthesis of other biomolecules; synthesis of nucleic acid components

Clinical Relevance of Metabolism & Biosynthesis:
Health implications of abnormal metabolism and biosynthesis; energy metabolism and diet; selected diseases of metabolism; drug development for countering abnormal metabolism and biosynthesis.

CH 628 : Fluorescence Spectroscopy for chemists and biologists (3-0-0-4)

Introduction to fluorescence, Absorption and emission processes, fluorescence markers and their characteristics, Environmental effects, molecular sensors and other photo-induced non-fluorescent states of fluorophores, polarization and rotational measurements of molecules, resonance energy transfer (FRET) and molecular distance measurements with fluorescence, ultra-sensitive fluorescence spectroscopic and microscopic techniques, including single molecule spectroscopy and methods based on fluctuation analysis, applications of fluorescence spectroscopy in biology, medicine and drug development.

CH 621 : Supramolecular Chemistry (3-0-0-4)

This course covers fundamental aspects & selected recent advances in the broad area of synthetic self-organizing chemical systems and supramolecular chemistry.

Fundamentals: The concepts and development of supramolecular chemistry: classification of receptors, binding constant, conformational and macrocyclic effects, pre-organization and complementarities, Nature of supramolecular interactions (types of non-covalent interactions); Supramolecular chemistry of life: porphyrins & tetrapyrrolemacrocycles, transport of oxygen by haemoglobin; Molecular and Ionic recognition: (cation& anion binding host, effect of pH), crown ethers, cryptands, spherands, calixarenes.

Complexity & Function: Self-Assembly in Synthetic Systems: Kinetic and Thermodynamic Considerations, Self-Assembling Coordination Compounds, Molecular Machines: Catenanes and Rotaxanes; Molecular Devices: Supramolecular Photochemistry, Molecule-Based Electronics (switches, sensors & wires).

CH 501 : Physical Chemistry I : Thermodynamics (3-0-0-4)

Solid state Chemistry, Introduction to crystal structure, Bonding and electronic properties of solids, Defects and non-stoichiometry, Bragg’s law and application, Descriptive solid state chemistry, Introduction to phase diagram; Basic chemical thermodynamics, Basic concepts, laws of thermodynamics, thermochemistry, state function, entropy, free energies, chemical potentials, determination of thermodynamic quantities, molecular basis of thermodynamics, phase equilibria, Thermodynamics of ideal and non ideal solutions & gases; Surface chemistry,Heterogeneous catalysis, adsorption isotherms; Introduction to electrochemistry.

CH 506 : Physical Organic Chemistry (3-0-0-4)

This is an advanced course once the students are familiar with basic synthetic chemistry principles. Reactions of heterocyclic compounds (which form the basic skeleton of natural products) includes imidazoles, oxazoles, thiazoles, pyridazines, pyrimidines and pyrazines, terpenes, alkaloids, antibiotics, carbohydrates, vitamins, nucleic acids and proteins. This course will also offer biosynthetic pathway of some important natural products.

CH 508 : Organometallic and Bioinorganic Chemistry (3-0-0-4)

This course is an introduction to the structure, bonding, and reactivity of organotransition metal compounds. Broadly the topics will include Electron counting, The 8/18-electron "rule" and its exceptions; Main-group metal chemistry, electropositive elements; Main-group metal chemistry, less electropositive elements (mainly silicon); Physical Methods in Organometallic Chemistry, NMR, IR and crystallography; Transition-metal organometallic chemistry; Ligand substitution and activation; Insertion and elimination reactions, including olefin polymerization and s-bond metathesis; Oxidative addition and reductive elimination; Olefin metathesis; Bioorganometallic Chemistry.

CH 509 : General Chemistry Laboratory (0-0-4-6)

Physical Chemistry Experiments: Kinetics of Sucrose Inversion; Determination of unknown Concentration using UV Spectroscopy; Adsorption; Thermodynamics of charge transfer complexes; Electron transfer studies in Fe3+/Fe2+ system using electrochemical techniques; Interpretation of powder XRD pattern of some known oxide materials; Studying the photoelectric effect for the dual nature of the light; Elevation in boiling point to calculate the boiling point elevation constant; Calculating the distribution constant and/or equilibrium constant of I2 in aqueous medium; Sol-gel synthesis of SiO2 aerogels.

Organic Chemistry Experiments: Thin layer chromatography, Solvent distillation, Extraction methods, Ester Hydrolysis, Olefin Oxidation, Acetylation of Alcohol, Synthesis of Amide, Electrophilic and Nucleophilic Substitution Reactions, Diels Alder reaction. IR and NMR spectroscopy will be used to identify the unknown compounds. Inorganic Chemistry Experiments: Synthesis of transition metal complexes, Conductometry, Potentiometry, Gravimetric analysis, Complexometric titration, Qualitative inorganic analysis of mixtures, Colorimetry analysis, Spectrophotometry, Recycling of aluminium, Estimation of phosphoric acid.

CH 510 : Main Group and Transition Metal Chemistry (3-0-0-4)

Atomic Structure, periodic trends, oxidation states, atomic & ionic radii, electron affinity, ionization energy, electronegativity; Oxidation-reduction chemistry; Structures and energetics of Inorganic Solids; Molecular orbital theory; Acid-Base and donor-acceptor chemistry; Coordination chemistry, structures and isomers, bonding, electronic Spectra; Organometallic Chemistry; Chemistry of the Main Group Elements; Nanomaterials, nanoscience, and nanotechnology; Bioinorganic and environmental chemistry.

Pericyclic reactions: Cycloaddition reactions, stereochemical aspect and applications of Diels-Alder reaction, 1,3-Dipolar cycloaddition reactions, [2+2] cycloaddition reactions, electrocyclic reactions, overview of sigmatropic reactions, [1,3]-, [1,5]-, [1,7]- Sigmatropic shifts of hydrogen and alkyl groups, Sigmatropic rearrangements (Cope, aza-Cope, Oxy-Cope, Claisen, aza-Claisen, Eschenmoser-Claisen, vinyl-cyclopropane-cyclopentene).

Photochemistry: General principles, cis-trans-Isomerazation, photoisomerization of 1,3-butadiene, photochemistry of carbonyl compounds, photochemistry of aromatic compounds, cycloaddition reactions, photochemical reactions of 1,4-butdienes.

UV–Visible Spectroscopy: Electromagnetic spectrum, basic principles, concept of chromophore, electronic transitions in organic compounds, Structure elucidation by UV-Vis and Woodward – Fisher rules; IR – Spectroscopy: Basic principles, IR as a tool for functional groups determination in organic compounds; NMR Spectroscopy: Basic principles. Introduction to NMR techniques – CW and FT NMR techniques, 1H NMR Spectral parameters – intensity, chemical shift, multiplicity, coupling constant; Analysis of first and second order spectra. Multinuclear NMR (with specific emphasis on 13C NMR): Proton coupled, off–resonance decoupled 13C NMR spectra. Structure determination by NMR: Assignment of chemical shifts, additively effect, characteristic chemical shifts of common organic compounds and functional groups, DEPT spectra. Introduction to multinuclear NMR of common hetero atoms present in organic compounds (N, F, O, P, D). 2 D NMR techniques Homo- & Hetero-COSY and NOESY spectra; Mass Spectroscopy: Basic principles, techniques of ion production and ion and daughter ions, molecular ion and isotope abundance, Meta-stable ions, Fragmentation pathways: Mc-Lafferty Rearrangement and fragmentation pattern of common chemical classes. Application of MASS for organic structure elucidation: determination of molecular formula and MASS spectra-structure correlation.

CH 629 : Medicinal Chemistry for life (3-0-0-4)

This course would include Pharmacology, Molecular Pharmacology, Microbiology, Biochemistry, Physiology, Medicine and Pharmacy. Classification of Drugs, Mechanism of drug action at enzymes, Principles of drug discovery, Synthesis of important (historical) drugs and their biological applications.

CH 630 : Catalytic Chemistry (3-0-0-4)

Basic modes of catalytic action, Classification and key concepts; Practical applications and Economic impact; Auto catalysis; Bio catalysis; Electro catalysis and Photo catalysis,
Materials Perspective
Desired characteristics, nature of the active site, metal support interaction, lattice oxygen and defect; Adsorption, adsorption mechanisms and models; Oxides, noble metals, and other materials as catalysts; Synthesis and Characterization of catalysts; Analytical techniques; Supports, Dopes, Alloys, Core-shell, Nanoparticles.
Screening of catalysts
Scientific and Engineering considerations
Kinetics of Catalytic Reactions
Strategies and designs for laboratory studies; Development of basic forms of rate equations.
Deactivation and poisoning
Mechanisms, models and design strategies

CH 631 : Organometallic Catalysis (3-0-0-4)

Introduction to catalysis; Homogenous and heterogenous catalysis; Hydrogenation and hydroelementation of alkness; Transformations of alkenes and alkynes; Oxidation of olefins; C-H activation; Carbonylation and carboxylation reactions; Bio-organometallic chemistry; introduction to enzymatic catalysis; Organometallic complexes and reagents used in organic synthesis; Heterogeneous catalysis

CL 201 : Chemical Process Calculations (1 – 2 – 0 – 2)

Basic problem solving skills in Chemical Engineering; Unit conversions, Stoichiometry; material and energy balances; material and energy balances with chemical reactions; purge and recycle; thermophysics and thermochemistry; first law of thermodynamics and its applications.

Maxwell Relations and Fluid Properties Estimation; Pure Component Phase Equilibria, thermodynamic properties; ideal gas mixtures, imperfect gases; liquid state and solution theories. Single Phase Mixtures and Solutions; Ideal Solutions; Partial molar quantities; Gibbs-Duhem Equation; Phase-Rule; Phase equilibrium criteria, non-ideal solutions, residual and Excess properties; Fugacity and Activity Coefficient models; vapor-liquid equilibrium (VLE) at low to moderate pressures; Raoult’s Law, Henry’s law High-Pressure VLE, Triangular phase diagrams. Chemical Reaction Equilibrium: Homogeneous and Heterogeneous reactions; Multi-reaction Equilibria; Combined Phase and Reactions Equilibria.

CL 251 : Fluid Mechanics Lab (0 – 0 – 4 – 4 – 2)

Measurement of viscosity by efflux time; Type of flows (Reynolds Number apparatus), Verification of Bernoulli Theorem; friction in circular pipes; Flow measuring devices: orifice meter, venturimeter, rotameter; Equivalent length of pipe fittings; characteristics of centrifugal pump; Vapor pressure of liquid; infinite dilution activity coefficient; Vapor-liquid equilibrium; Calorimeter; calibration of thermocouple.

CL 351 : Heat Transfer and Thermodynamics Lab (0 – 0 – 4)

Thermal conductivity of metal rod; Laminar flow heat transfer; Turbulent flow heat transfer; Heat transfer by natural convection; Finn tube heat exchanger; Plate Heat exchanger, Heat transfer in agitated vessel; heat transfer in fluidized bed; Gas-phase diffusivity by using Stephen tube; Solid-liquid mass-transfer coefficient.

CL 321 : Separation Processes (3 – 2 – 0 – 4)

Gas absorption: Equipments for gas absorption/stripping, design of tray and packed tower design; Distillation: batch distillation, continuous fractionation-tray and packed towers, Tray hydrodynamics and efficiencies, special distillation techniques; Extraction: Liquid-Liquid extraction-Calculations with and without reflux for immiscible and partially miscible system; Solid-liquid extraction; Simultaneous heat and mass transfer: drying, humidification operations, design of cooling towers; Adsorption and Ion Exchange: Types and nature of adsorption, Adsorption equilibria, stage-wise and continuous-contact adsorption operations, ion-exchange equilibria, ion exchange cycle and operation of ion exchangers; Crystallization: Crystal geometry, supersaturation, nucleation, crystal growth, crystallization equipment;Membrane Separation Processes: Gas separation processes, reverse osmosis processes; ultrafiltration, pervaporation, dialysis and electrodialysis.

Motivation; fundamentals of batch and flow reactors; general mole balance equation; rate laws and stoichiometry; conversion and reactor sizing; reactors in series; algorithm for data analysis from batch reactor and flow reactor data; experimental planning for data analysis; Isothermal reactor design: mole balance in terms of conversion, mole balance in terms of concentration and molar flow rates, effect of pressure drop in conversion, micro reactors, membrane reactors; Multiple reactions: selectivity and yields in series, parallel and complex reactions. selection and ordering of reactors for parallel, series and complex reactions; Steady state non isothermal reactor design: energy balance equation to flow and batch reactor systems, design of adiabatic and isothermal reactors, equilibrium conversions, multiple steady states; Catalytic reactors: catalytic reaction mechanisms, rate law for catalytic reactions, external diffusion, internal diffusion, design of packed bed reactor; Residence Time Distribution (RTD): fundamentals of non-ideal reactors, measurement and characterization of RTD, RTD for ideal reactor, non ideal reactor modeling using RTD

CL 352 : Mass Transfer and Reaction Engineering Lab (0 – 0 – 4 – 2)

Differential distillation; Sieve plate distillation column; packed bed gas absorption; Liquid-liquid extraction; Cooling tower; Forced convection batch dryer; Residence time distribution (RTD) in Laminar flow reactor (LFR); Residence time distribution (RTD) in Continuous stirred tank reactor (CSTR); Batch reactor; Single CSTR and CSTRs in series; CSTR and LFR in series.

CL 421 : Process Equipment Design and Economics (2 – 2 – 0 – 3)

Mechanical design of process equipment: pressure vessels, tall columns, etc., Materials and Fabrication Selection; Illustrative Case Study in Process Equipment Design and Costing of Equipment in each of the following categories: Material Transfer, Handling and Treatment Equipment Heat Transfer Equipment: Shell and tube heat exchangers (Kern and Bell-Delaware design methods), Plate heat exchangers, Mass Transfer Equipment: Absorption/ Stripping columns (packed/tray), Multicomponent distallationcolum (Fenske-Underwood-Gilliland correlations) Reactors: Choices of reactors, non-isothermal reactors, reactor configuration, inter-stage heating/cooling, multi-tubular reactors; Design Strategy and Optimum Equipment Design: Economic Design criteria; Cost and Asset Accounting; Cost Estimation; Interest and Investment Costs; Taxes and Insurance; Depreciation; Profitability, Alternative Investments and Replacement.

CL 422 : Process Control (3 – 1 – 0 – 8 – 4)

First Principles model development; Process dynamics for first, second and higher order systems: linearisation, transfer function models, effect of poles, zeros and time delays on system response; Empirical models from data; control system instrumentation; introduction to feedback control: objectives, PID control; analysis of closed loop systems: stability, root locus, frequency response using Bode and Nyquist plots; control design techniques: design criteria, time and frequency domain techniques, model based design, tuning; advanced control strategies: cascade and feed forward, introduction to multivariable control; controller implementation through discretisation.

CL 423 : Chemical Processes (3 – 0 – 0 – 4)

Overview of the chemical industry with specific reference to Indian Chemical Processing scenario; Inorganic Chemical Industries, Sulphur and Sulphuric Acid, Ammonia, Nitric Acid and Nitrogenous Fertilizers, Phosphorus, Phosphoric Acid, phosphatic and complex Fertilizers, Caustic soda, Chlorine and Hydrochloric Acid, Cement, Lime and other furnace products Industrial gases, Water - Resources, Recycling and Treatment; Organic Chemical Industries
Petroleum: Refining and Processing, Petrochemicals: Olefins, C4-C5 Products, Aromatics, Synthesis Gas and Methanol, Polymers and Synthetic Fibres, Synthetic rubber; synthetic detergents; Natural Products Industries, Soaps and Glycerin; Pulp and Paper, Fermentation products; Pharmaceuticals and bulk intermediates.

CL 451 : Process Dynamics and Control Lab (0 – 0 – 4 – 2)

First order dynamics of bulb thermometer; Second-order dynamics of under-damped system-pendulum; second-order dynamics of critically damped system-interacting tanks; second-order dynamics of critically overdamped system-non-interacting tanks; On-off controller (liquid-level control); PID controller (Temperature control); Adsorption; Reverse osmosis; High performance liquid chromatography; Liquid chromatography; UV-vis spectrophotometer.

CL-311: Process Fluid Mechanics (3-1-0-4-8*)

Review of Basics of Fluid Flow: Fluid Statics, pressure measurement; Basic equations of fluid flow, viscosity, newtonian and non-newtonian fluids, laminar and turbulent flows, Boundary layer theories; Bernoulli theorem and applications; Flow of incompressible fluids, friction factor, piping systems; Flow of compressible fluids, adiabatic and isothermal flows, sedimentation and flotation, centrifugal separation, packed beds and fluidized beds; Transportation and metering of fluids, pump types, pump curves, blowers and compressors, direct flow measurement (pitot tube, rotameter, orifice meter etc., indirect methods and commercial flow meters; Mixing and Agitation, power consumption, impeller types and flow patterns, mixing times.

CL-312: Heat and Mass Transfer Operations (3-1-0-4-8*)

Review of Basic Concepts of Heat Transfer: Modes and laws of heat transfer, Conduction, heat transfer through extended surfaces, concept of resistance, Convection, boundary layer, heat transfer coefficient, overall heat transfer coefficient, LMTD; forced convection; natural convection; boiling and condensation; radiation; Heat Exchangers: Classifications and applications of heat exchangers, fouling factor, basic concepts of heat exchanger design, Kern method, NTU methods, design considerations for heat exchangers; Diffusion; Interphase mass transfer: theories of interphase mass transfer, local and overall mass transfer coefficients, correlations; analogy between momentum, heat and mass transfer

CL 207 : Chemical Process Calculations (1-0-2-)

Historical overview of Chemical Engineering: From Chemistry to Chemical Engineering, Unit operations and Unit processes to recent developments.

Basic Terminology, Units and dimensions.

Integral Material and Energy Balances in simple systems involving physico chemical and chemical transformations; systems involving recycle, purge, bypass. Use of compressibility charts, psychometric charts and steam tables.

Introduction to computer aided calculations for steady state mass and energy balances.

CL 307 : Introduction to Molecular Cell Biology (3-0-0-)

Multicomponent systems: multicomponent distillation, Special distillation techniques (azeotropic, extractive, etc.), steam and molecular distillation, multicomponent gas absorption; Adsorption and Ion Exchange: Types and nature of adsorption, Adsorption equilibria, stage-wise and continuous-contact adsorption operations, ion-exchange equilibria, ion exchange cycle and operation of ion exchangers; Crystallization: Crystal geometry, supersaturation, nucleation, crystal growth, Chromatograpy: Chromatographic separations, Gas, liquid and supercritical chromatography, preparative chromatography; Membrane Separation Processes: Gas separation processes, reverse osmosis processes; ultrafiltration, pervaporation, dialysis and electrodialysis.

CL 601 : Advance Transport Phenomena (3-1-0-4)

Vector and tensor algebra, Calculus. Kinematics: Motion, streamlines, pathlines and streaklines.Governing equations of fluid mechanics: Equation of continuity, Momentum balance, Stress tensor, constitutive equations, Boundary conditions. Unidirectional flows: steady and unsteady; Two-dimensional flows: Stream function. Limiting cases: Creeping flow, Inviscid flow, Boundary layer theory, Turbulent flow: Transition to turbulence, Turbulence models. Macroscopic balances. Governing equations of heat transfer: Energy balance, Constitutive equations, Boundary conditions, Conduction, Forced convection, Natural convection. Radiation, Macroscopic balances. Concentrations, velocities and mass fluxes: Governing equations of mass transfer: Species mass balance, Constitutive equations, Boundary conditions. Complete solutions, Diffusion in gases, Diffusion and reaction, Forced convection, Simultaneous heat and mass transfer.

CL 602 : Advanced Thermodynamics (3-1-0-4)

Classical Thermodynamics: Introduction, Review of Basic Postulates, Conditions of Equilibrium, Legendre Transformation and Maxwell’s relations, Stability of Thermodynamic systems, First Order phase transitions and Critical Phenomenon (second order phase transitions) Phase Rule, Single component phase diagrams, Introduction to Multicomponent Multiphase equilibrium mixtures, partial molar properties, fugacity and activity coefficients, Ideal and Non-ideal solutions, VLE/SLE/LLE/VLLE triangular plots, Chemical Equilibrium and Combined phase and reaction equilibria.

Statistical Thermodynamics: Mathematics-probability distribution, stirling approximations etc Canonical Ensemble, Microcanonical Ensemble, Grand Canonical Ensemble: Expressions for partition functions and their relation to thermodynamics variables Boltzmann, Monoatomic, Diatomic and Polyatomic Gases: Calculation of Partition functions and thermodynamics properties, Introduction to Classical Statistical Mechanics: Calculation of partition function, phase space, Liouville equation Crystals (Solids): Partition functions, the Einstein and Debye theory Intermolecular forces and potential energy functions, Imperfect Monoatomic Gases: Virial Equation of State, Second Virial Coefficient, Law of Corresponding states, Perturbation theory: Distribution functions.

CL 604 : Advanced Reaction Engineering (3-1-0-4)

Review of fundamentals in chemical reaction engineering, Numerical solutions of reaction engineering problems, membrane reactors, micro-reactors, reactive distillation, unsteady state non-isothermal batch-semibatch-CSTR-PFR reactor design, chemical reaction with mass transfer, fluidized bed reactor, multiphase reactors, design of non-ideal reactor using residence time distribution data.

CL 323 : Principles of Polymer Processing (3-0-0-4)

Introduction: Course outline, relevance to modern engineering activities in everyday life and in technology; Structured fluids and their flow characteristics including non-Newtonian features and their measurement in simple shear, oscillatory shear and elongation flow; Constitutive equations; Conservation equations (Mass, Momentum, Energy); Simple model flows with and without heat transfer; Melting and mixing of polymers; Polymer forming processes – extrusion, calendaring, coating, fiber spinning.

CL 324 : Introduction to Polymer Science and Engineering (3-0-0-4)

Nature of macromolecules and basic concepts of Polymer Science and Engineering, Molecular forces and chemical bonding, Chain configuration and conformations, Molecular weight and molecular weight distribution; Polymerization, Condensation polymerization, Addition polymerization; Mechanical properties of amorphous polymers, Viscous flow, Rubberlike elasticity, Viscoelasticity, Glass transition; Macromolecules in solutions, Equilibrium thermodynamics, Extension to polymer blends and gels, Kinetics of phase separation, Dynamical systems involving polymer gels; Historical perspective and classification of polymer processing operations, Manufacturing processes, Orientation and structure development during processing, Models for processing techniques.

CL 424 : Process Analysis and Simulation (1-1-4-3)

Introduction to design, Balances in large chemical processes, Flowsheeting & Process Simulation Concepts, Process simulation programs (Aspen plus), Preliminary sizing and mechanical design of process equipment, Cost estimation, Engineering economics and profitability analysis.

CL 425 : Process Synthesis and Design (3-1-0-4)

Process Synthesis and Design, Heuristic methods for process design –(Douglas hierarchical design procedure, Onion diagram),Separation system synthesis, Energy integration and heat exchanger network,Process Optimization, Process diagrams –( PFD, P&ID), Safety analysis, Environmental and sustainability considerations, Capstone design project.

Basic modes of catalytic action, Classification and key concepts, Practical applications and economic impact; Materials Perspective, Desired characteristics, nature of the active site, metal support interaction, lattice oxygen and defect, Adsorption, adsorption mechanisms and models. Oxides, noble metals, and other materials as catalysts, Synthesis and Characterization of catalysts; Analytical techniques, Supports, Dopes, Alloys, Core-shell, Nanoparticles; Screening of catalysts, Scientific and Engineering considerations; Kinetics of Catalytic Reactions, Strategies and designs for laboratory studies; Development of basic forms of rate equations; Analysis and Interpretation of catalytic reactor data/performance, Heat and Mass transfer effects, role of pore diffusion, Effectiveness Factors; Deactivation and poisoning, Mechanisms, models and design strategies; Catalysis in Action, Energy & Environment, Polymerization, Bio- processing. Special Topics: Biocatalysis, Electrocatalysis, Catalysis in Colloid Systems.

Vapor phase processing to produce glass for optical fibers, optical components, amorphous inorganic materials: particulate silica and silica nanoparticles; Vaporization: Principles & equipment designs for vaporization of liquid and solid phase reactants; Reaction processes: Homogeneous vapor phase reactions to produce nanoparticles of glass forming oxide particles (soot); Deposition process: Thermophoretic deposition of soot particles to form dense or porous bodies- process design and control for product quality and cost effectiveness of process; Air- pollution control technologies: Environmental engineering related to removal of nano-particles and acid from stack exhaust; Downstream processes: Dehydration and sintering and fiber drawing; Fiber designs and applications: For communication fiber and specialty fiber for devices & sensors.

CL 626 : Fundamentals of Chemical Process Safety (3-0-0-4)

Importance of Process Safety Management (PSM) through major disasters in chemical process plants, Safety regulations related to process safety and related Indian standards, Identifying hazards in process industries and HAZOP analysis with case studies; Handling toxic and flammable materials in process industries; Fire and Explosion, Runway reactions and general aspects of reactor safety; Different class of criticality or severity and assessment of severity of the process; risk assessment of different chemical processes through event tree and fault tree analysis and related case studies; Source models and dispersion models with case studies for toxic materials release in plant environment.

CS 422 : Data Mining (3 – 0 – 0 – 4)

The ubiquitous usage of computing and communication technology is resulting in an unprecedented generation of data. The increased storage and computational capacity makes it possible to shift through this mountain of data and identify knowledge ruggets that can be used for improvements in productivity and customer service. This course introduces five important aspects of data mining: clustering, classification, association, predictions, and sequential mining. We will study the theoretical foundations of these techniques, and apply them in practical situations. Relevent introduction to database management and data preparation will be also provided. There is a considerable emphasis on the applications through assignments and projects. The datasets that will be used can be categorized as: private retail dataset, government published demographical statistical datasets, and web datasets.

Hazard mitigation, earthquakes, Tsunamis, Typhoons, Small events and big events, Death count, frequency of occurrence; Models of propagation of hazards, earthquakes, tsunami, wildfire; Event detection and data mining for hazard mitigation, data for normal situations, data for abnormal situations,time of detection,tolerable false positives,tradeoffs for data mining in having sensors aggregate data; Sensors --- types, costs, power quality; Locating sensors in buildings and in the field; Communication mechanisms; through USB to computers to the Internet; through wi-fi and routers,Tradeoffs; Data fusion in the Cloud and/or in sensor networks: algorithms and tradeoffs; Android programming: programming the Android for a collection of sensors, Programming Linux, Windows, Arduino and other single-board computers; Google App Engine programming. Managing a sensor network from a Cloud service; The Community Seismic Network and other community-based sense and respond systems; Opportunities in areas of science and engineering for dealing with hazards --- robotics, high-performance computing models.

CS-603: Computational Photography (3-0-0-2-3*)

The digital camera – pinhole camera, thin lens camera, shutter speed, basic modules, camera settings; Linear filters –2D convolution and correlation, spatial and frequency domain filters; Feature detectors and descriptors – edge and corner detection, image pyramids, SIFT; Edge-preserving filtering – bilateral filter and its variants, flash/no-flash photography, applications; Gradient processing – solutions of Poisson equation, Filtering in the gradient domain, Poisson image editing, Poisson matting, image retargeting, applications; High dynamic range (HDR) photography – HDR image generation, exposure fusion, HDR compression, HDR display systems, applications; Computational cameras – coded photography, sensor design, light field photography, Frankencamera; Internet photography – processing community image collections like Flickr/Facebook, scene completion, IM2GPS, applications.

CS 322 : Discrete Mathematics (3-0-0-)

1) Sets, Relations, Functions, Cardinal and Ordinal Numbers.
2) Principle of Inclusion Exclusion.
3) Recurrence Relations, Generating functions.
4) Counting, Pigeon hole principle, Introduction to Ramsey Theory.
5) Graph Theory: Trees, Planner Graphs, Connectivity, Coloring.
6) Permutation Groups, Polya Theory of Counting or Introduction to Logic

CS 324 : Devising Interactive Web Applications (2-1-0-)

The course will consider the two sides of these applications: the browser/client and the server. The development environment Eclipse has several features that allow developers to specify modules, interfaces and auxiliary files. We will study the use of libraries that make it possible to define the sequences that the users must follow to serve the application and the ones that standardize the accesses to the database.

The course will provide insights into software engineering. The tools presented allow an engineer to model an application before making the detailed design. Modules of the course
The following modules will be presented
HTML, CSS
Revision (if needed) of the commands used to describe Web pages.
Javascript
Introduction of Javascript, its objects and constructors. Closures. Events.
Canvas, SVG
Introduction of the graphics environments Canvas and SVG (optional)
J2EE, Tomcat, JSP, JSF
Creation of HTML forms calling the server. JSP (Java server pages), used to create HTML pages with variables parts. JSF (Java server faces) used to connect Web pages to a server . JPA, MySQL
Java persistence API. Java objects used to access the database in a standard way.
Web services
Creation of stubs that allow an external program to access a Web application.
AJAX, JSON, JSON templates
Access of a server from within a page. The pages are not reloaded as in the previous sections. Coding of the data with JSON (Javascript standard object notation). Creation of pages with a simple template tool based on JSON.

CS 325 : Data Management (3-0-0-4)

Overview of Database Management System. Entity-Relationship Model and Conceptual Database Design, Relational Data Model and Logical Database design, Relational Algebra, SQL, Normalization, Data Storage alternatives, distributed data, basics of transaction management.

CS 428 : Introduction to Applied Cryptography (3-0-0-4)

Introduction and brief history; mathematics background; symmetric cryptography: one-time pad, stream ciphers, block ciphers, hash functions, message authentication codes, authenticated encryption; information security vs. computational security: random function/permutation, pseudorandom function/permutation, integer factorization and discrete logarithm problems; asymmetric/public key cryptography: RSA and El Gamal based encryption and signature schemes; secret sharing; key distribution: Diffie-Hellman key agreement protocol, Kerberos; an advanced topic: Bitcoin-the first crypto-currency.

CS 429 : Introduction to Computer Graphics (3-1-0-4)

Introduction to human visual perception – visual system, eye, constancy, continuation, shadows; Graphics pipeline; Mathematical foundations – sets, functions, coordinates, operations on coordinates, intersections, triangles, polygons; Introduction to OpenGL and WebGL; Shaders – vertex, fragment, GLSL; Transformations – 2D, 3D; Cameras and transformations – perspective and orthographic; Ray casting and rasterization; Basic image processing tools and techniques – convolution, sampling, aliasing, Fourier transform, enlarging, shrinking; Textures – mapping, synthesis; Interaction techniques – multi-touch, mouse-based; Splines – polynomial curves, Hermite curve, cubic B-splines; Meshes – topology, geometry, applications; Light – physics, measurement, reflectance; Materials and scattering – object-level, surface, models; Color – perception, color spaces; Principles of ray tracing and rendering; Basics of motion and animation; Graphics hardware basics.

CS 431 : Computer and network security (3-0-0-4)

Software security. Basics of OS; OS security; injection vulnerabilities; buffer overflows; access control; sandboxing; malware: viruses and worms; writing secure code.
Web security. Web basics; web security model; cross-site scripting; SQL injection; session managements with cookies; https protocol.
Network security. Basics of networking; security of TCP and DNS protocols; firewalls, VPNs and intrusion detections; denial of service (DoS) attacks.
Brief overview of mobile security

CS 605 : Randomized and Approximation Algorithms (3-0-0-4)

NP hardness and concept of approximation; introduction to randomized algorithms, Monte-Carlo and Las-Vegas algorithms; greedy search methods, application to k-median; linear programming based techniques, primal dual method and rounding, applications to facility location and covering problems e.g. set cover and vertex cover; spectral methods, eigenvector based methods, random walks; semi-definite programming, applications to graph partitioning problems; techniques for inapproximability lower bounds, introduction to PCP.

CS 606 : Advanced Topics in Cryptology (3-0-0-4)

Pseudorandomness and the Blum-Micali generator; Pseudorandom function, GGM and cascade constructions; Number-theoretic constructions of pseudorandom functions; Private information retrieval; Oblivious transfer; Garbled circuits and Yao's 2-party protocol; BGW multiparty protocol; Elliptic curves; Pairings; ID-based encryption; Interactive proofs, Zero-knowledge proof systems, Zero knowledge proofs of knowledge, Non-interactive zero-knowledge proofs; Sigma protocols, ID protocols; Universal hash functions, min-entropy, leftover hash lemma.

CS 425 : Introduction to Computational Complexity Theory (3-0-0-4)

Turing Machines: Different models of computations, Church-Turing Hypothesis, Can we compute everything? Undecidability of the halting problem; Time Complexity: What is `efficient’ computation? Complexity class P. Nondeterminism, class NP, reductions, Cook-Levin Theorem, Time hierarchy theorem; Space Complexity: Savitch’s theorem, complexity of games, complexity class PSPACE, L, NL, coNL; Randomized computations: Complexity class RP, ZPP, BPP. Do we really need random bits? Derandomization; Boolean Circuit Complexity and Parallel computation. Uniform family of circuits, circuits that take advice, complexity class NC, AC and TC; Overview of lower bounds in complexity theory.

CS 426 : Markov Chains and Queueing Models (3-0-0-2)

Performance criteria: Little’s law, Residual waiting time paradox; Markov models: Discrete Time Markov Chains, Continuous Time Markov Chains; One Queue Models: M/M/1, M/M/1/N, M/M/C/C, M/G/1; Queuing Network Models: Open networks, Closed networks.

CS 430 : Algorithms for Data Science (3-0-0-4)

vector space models for data: high dimensional geometry, introduction to concentration of measure concepts; retrieval problems: inverted index, Boolean retrieval, approximate near neighbors, locality sensitive hashing; clustering and dimension reduction: k-means, SVD, PCA, CUR, hierarchical clustering; graph analytics: models of social networks as graphs, pagerank, HITS, random walks, algorithms for community detection; algorithms for massive data problems: Bloom filter, CM sketch, distinct count sketches, frequency moments;

CS 321 : Algorithm Analysis and Design (3-0-0-4)

Introduction to Algorithms, analysis and design techniques. Analysis Techniques: Mathematical, Empirical and Asymptotic analysis. Review of the notations in asymptotic analysis;Divide and Conquer approach;;Sorting & order statistics: Divide and Conquer technique – Various Comparison based Sorts – Analysis of the Worst-case and the Best-cases – Applications ;Greedy design techniques;Basic Greedy Control Abstraction – Motivation – Huffman Coding – Horn Formulas - The Tape Storage Problem - The Container Loading Problem – The Knapsack Problem – Graph Algorithms – Minimum Spanning Trees – Single Source Shortest Paths;Dynamic programming;Motivation – The Coin Changing problem – The 0/1 Knapscak problem – All-pairs Shortest Path Problems - The Dynamic Programming Control Abstraction;Backtracking;Backtracking - Branch & Bound - N-Queens problem - 15-puzzle problem;Number theoretic algorithms;Number Theoretic notions – the GCD – Modular Arithmetic – The Chinese Remainder Theorem – The Primality Testing;NP-CompleteProblems;Polynomial time – verification – NP-completeness – Search Problems – The reductions – Dealing with NP-completeness – Approximation Algorithms – Local Search Heuristics;Advanced topics

CS 421 : Information Security (2-0-2-6)

Introduction, Security Attacks, attacks on Data/software, Hardware, Network; Classical cryptography, Steganography; Symmetric key cryptosystems, Public-key cryptosystems; Cryptographic Hash-functions; Authentication systems and Biometrics Applications; Network and Systems Security; Security Policy; Advanced topics Laboratory: Cipher Implementations in C/Java, Crypto tools, Vulnerability Assessment, Design Project

CS 602 : Theory of Computation (3-0-0-4)

Finite automata and regular sets: DFA, NFA, properties of regular languages, pumping lemma, Myhill-Nerode theorem. Pushdown automata and Context free languages (CFL), properties of CLFs, deterministic context free languages, properties of CFLs. Turing Machine (TM) and Effective computation: Equivalent models of TM, nondeterministic TM, Universal machines, halting problem, Undecidability and Rice's Theorem. Complexity Classes: P, NP, Cook's theorem

CS 427: Reliability Engineering (3-0-0-4-6)

Course contents:
Dependability measures, models, definitions; the probabilistic approach, probability refresher, distributions; Independent components and combinatorial models; Reliability Block Diagram, Network Reliability, Fault trees, BDD; SHARPE software package with examples; Introduction to stochastic processes, the Poisson process, the birth death process, queuing systems; State space models, repairable systems, Markov chain models; Markov Availability models, Markov performability models, Markov reliability models; Models with local dependencies, Dynamic fault trees, Bayesian belief networks; Hierarchical models with SHARPE Examples; Fixed-point iterative models; Stochastic Petri Net models; Preventive maintenance models, Techniques of modeling with non-exponential distributions; Software reliability and availability models

CY 201 : General Chemistry (3-0-0-4)

Coordination Chemistry: Werner’s work, EAN Rule, V. B. Theory, Crystal field theory, Ligand Field Theory, Jahn–Teller distortion, Square planar and Tetrahedral complexes, Chelates, Nomenclature and Isomerism of coordination compounds.
Structure and bonding in rare gas compounds; HSAB theory; Chemical and biological buffers.
Bioinorganic chemistry: Occurrence and availability & biological functions of inorganic elements in organisms, Uptake, transport and storage of Oxygen, Hemoglobin and Myoglobin, Photodynamic therapy.
Organic Chemistry and Stereochemistry: Resonance and Inductive effects; Aromaticity and Huckel’s rule; Optical activity, Polarimeter, Chirality, Enantiomerism, Configuration, R-S Nomenclature, Reactions of stereoisomers, Resolution, Conformations of Alkanes and cycloalkanes, Introduction to UV-visible and IR spectroscopy and their applications.

CY 202 : Chemistry Laboratory (0-0-4-2)

A mix set of experiments are taken from all three branches of chemistry (i.e. physical, inorganic and organic). The laboratory course will incorporate the experiments illustrating the basic principles of complexometry titrations, conductometry, chemical kinetics, colorimetry, polarimetry, thin layer chromatography, green synthesis, oscillatory reactions, simple salt-mixture analysis, UV-visible and IR spectroscopy.

DES 301: Disruptive Design for Indian healthcare (2-0-2-4-6)

Course Content:
The course will cover following modules:
Introduction to public health: History, Policies, current state of public health, Opportunities & Challenges, maternal & Child health, Epidemiology of communicable & Non-communicable diseases.
Ethnography & design research methods: various methods of qualitative research such as shadowing, interviewing, focus group studies & key informant interviews, Data interpretation- opportunities for intervention, criticality pyramid, systems modeling of relationships, statistical analysis using R.
Contextual immersion: Exposures to actual situation in Private health clinics (PHCs) & hospitals, first hand experiences of challenges and low resources settings.
Industrial Design: Human centric new product design & development, principles of usability, universal design, semantics, semiotics, material & basic manufacturing methods.
Prototyping: Development of alpha/proof of concept prototypes, usability testing in simulated & actual conditions.

DES 201 : From Idea to Marketable Product (3-0-0-4)

The course will cover the essential steps to go from an idea to a marketable product including User studies; Context studies; Product Aesthetics; Product Visualization; Manufacturability; Detail Design; 3D models and Prototyping

DES 302 : Creativity, Design and Doing (3-0-0-4)

Design as a phenomenon: The meaning of design as perceived by an ‘informed’ user, lay person, designer, artist and the one who sells a designed product; Craftsmanship: Design in relation to Craftsmanship / the object culture / the built environment. Design as a social, political and environmental act; Why design? Doing more with less energy, resources and time. Design for comfort, convenience, pleasure, productivity, ease of operation, safety, equity; How does one design? The process from conceptualization to concretization; What is creativity? The importance of design thinking and creativity; Design and skills: Be informed, imagine, visualize, sketch, draw, simulate and make.

EE 211 : Network Theory (2 – 1 – 0 – 6 – 3)

Introduction – transition from field model to circuit model, assumptions; electrical circuit described in terms of devices and topology, their mutually exclusive nature.
Classification of elements and circuits – lumped/distributed, linear/nonlinear, passive/active, bilateral/non-bilateral; independent voltage and current sources, dependent sources, ideal transformer, gyrator.
Elements of graph theory – graph, sub-graphs, paths, connected graphs, trees, co-trees, twigs, links, loops, cut-sets; incidence matrix A, loop matrix B, cut-set matrix Q, orthogonality and interrelations; independent sets of KCL and KVL equations, Tellegen’s theorem and applications.
Circuit analysis – basis sets of voltage and current variables, sparse tableau analysis, mesh and loop currents, node and cut-set voltages, state variable analysis.
Two-port networks – Description in terms of different sets of parameters and interrelations, interconnection of two-port networks and their applications, introduction to filter design.

EE 221 : Electronic Devices (2 – 1 – 0 – 6 – 3)

Introduction to semiconductors; Energy bands and charge carriers in semiconductors; Introduction to semiconductor equations and carrier statistics, Poisson's and Continuity equations, Fermi-Dirac statistics and Boltzmann approximation to the Fermi-Dirac statistics; Semiconductor diodes; Zener diode; Optoelectronic devices like photodiodes, light emitting diodes and lasers; MOS capacitor; MOS Transistor; Bipolar junction transistors; High frequency and high power devices like Tunnel diode, IMPATT diode, Gunn diode, PNPN diode and the semiconductor controlled rectifier.

EE 408 : Fundamentals of Circuit Simulation (3 – 0 – 0 – 4)

Introduction. Graph theoretic based formulation of Circuit Analysis, useful for Computer Aided implementation: Sparse Tableau Analysis, Nodal Analysis, Modified Nodal Analysis; Branch Constitutive Equations; Input files used in the standard Circuit Simulator – PSPICE.
Algorithms suitable for solutions of the circuit analysis equations: Linear Equations, Non – linear Equations. Numerical Integration – Construction of Integration Formulas, Truncation Error of Integration Formulas, Numerical Stability of Integration Methods, Automatic Time-step Control. Adjoint Networks and Sensitivity.
Application and hands on exercises on PSPICE

EE 354 : Project (0 – 0 – 0 – 6)

Students are required to carry out projects under the supervision IIT Gandhinagar’s Electrical Engineering and Computer Science faculty members.

EE 611 : Restructured Power Systems: Operation and Management (3 – 0 – 0 – 6 – 4)

Fundamentals of electricity markets: Privatization and deregulation; Types of electricity markets -Pool, Bilateral and Multilateral; Components of deregulated power systems; Independent system operator (ISO) and Power exchange (PX): Functions and responsibilities; Pricing mechanisms, and energy trading arrangements; Transmission pricing paradigm and congestion management; Ancillary services and system security management in deregulation; Distributed generation in deregulated markets; Electricity market developments in India; IT applications in electricity markets.

EE 621 : Physics of Semiconductor Devices (3 – 0 – 0 – 6 – 4)

Introduction to the world of semiconductors; Geometry of periodic crystals; Quantum mechanics; Solution of Schrödinger equation; Energy bands; Density of states; Fermi-Dirac statistics; Equilibrium statistics; Recombination-Generation in semiconductors; Carrier Transport: Drift, Diffusion; P-N Junction diodes: IV Characteristics, Non-ideal effects, AC response, Large signal response; MOS Transistor: 1-D MOS electrostatics, MOS capacitors, Poly Silicon gates and QM effects, MOS transistor equations, Ballistic MOS transistor, Scattering theory, Effective mobility, 2-D electrostatics, VT engineering, Series resistance and effective channel length, MOS transistor leakage; CMOS process flow; Reliability of MOS devices; CMOS circuit essentials; SOI MOS devices; RF CMOS; Introduction to process and device simulation.

EE 633 : Fiber Optics and Photonics (3 – 0 – 0 – 6 – 4)

Brief history of the optical fiber,Ray analysis of step- and graded-index fibersandpropagationcharacteristics;Planar optical wave guides, modes and the eigenvalue equation, single-mode and multimode fiber; Group velocity and material dispersion, inter-modal and intra-modal dispersion,attenuation, pulse dispersion,fiber bandwidth, dispersion management; Special fibers and fiber Bragg gratings; optical fiber communications and sensor components; Light sources, semiconductor lasers and their properties, distributed feedback and distributed Bragg structures; Photo-detectors, quantum efficiency, responsivity, spectral and temporal response; Design, fabrication and characterization of telecommunications fiber, birefringent fiber, photonic crystal fiber, hollow-core fiber and components; Overview of fiber-optic sensors.

EE 639 : Lasers (3 – 0 – 0 – 6 – 4)

Fundamental wave and quantum properties of light, light-matter interaction;, discrete energy levels; Radiative transitions and emission linewidth, energy levels and radiative properties of matter, radiation and thermal equilibrium;Absorption and stimulated emission, population inversion, gain and gain saturation, laser oscillation above threshold, population inversion requirements in 2-, 3-and 4-level systems, laser pumping; Laser resonators, stable resonators, Gaussian beams, special cavities; Specific laser systems, solid-state lasers, pulsed lasers; Semiconductor lasers, edge-emitting and surface emitting lasers, quantum cascade lasers; Modulation of lasers; electro-optic, acousto-optic and direct current modulation; Frequency multiplication of laser beams, introduction to nonlinear optical effects.

EE 420 : Optical Networks (3 – 0 – 0 – 6 – 4)

Basics of fiber optic networks, Advantages of optical network, telecom network overview and
architecture, WDM optical networks, WDM network evolution, WDM network construction, broadcast and select optical WDM network, wavelength routed optical WDM network, Challenges of optical WDM network. Overview of fiber optic communication, propagation in optical waveguides and optical fibers, laser diodes and photodiodes. Optical directional couplers, splitters and combiners, isolators, circulators, fiber Bragg gratings, arrayed waveguide gratings, Fabry-Perot and thin film filters. Electro-optic and acousto-optic modulators, Mach-Zender interferometers, semiconductor optical amplifiers, Erbium doped fiber amplifiers, Raman amplifiers, wavelength converters, WDM multiplexers and demultiplexers, nonlinear optical loop mirrors for clock extraction, dispersion compensators. Various optical switches: electro-optic, SOA-based, MEMS, optical cross-connects, Clos architecture, OADMs, optical packet switching basics, slotted and unslotted networks, header and packet format, contention resolution in OPS networks, self routing, examples on OPS node architecture, optical burst switching, signaling and routing protocols for
OBS networks, multicasting. Single and multi-hop networks, access networks, PON, EPON and WDM EPON, dynamic wavelength allocation, optical layer, node designs, optical layer cost tradeoff, routing and wavelength assignment, gigabit Ethernet, radio over fiber network, SONET/SDH systems, metropolitan-area networks.

EE 643 : Solar Photovoltaics: Physics, Technologies and Applications (3 – 0 – 0 – 6 – 4)

Introduction: Photovoltaic (PV) history, PV economics, Solar energy conversion; Physics: Crystal structures, atomic bonding, types of semiconductors, energy band diagram, p-type and n-type semiconductors, doping and carrier concentration, diffusion and drift of carriers, continuity equation, P-N junction and its properties, dark I-V equation of P-N junction, junction under illumination, solar cell parameters, measurements of solar cell parameters, short circuit current, open circuit voltage, fill factor, cell efficiency, optical losses, electrical losses, surface recombination velocity, quantum efficiency, I-V characteristics; Technologies: Crystalline/Poly-Crystalline silicon solar cell technologies, Amorphous silicon solar cell technology, Thin film solar cell technologies, Characterization of solar cell materials and devices, Nanostructured solar cells; Applications: System components; Cells, modules and arrays; Interfacing PV modules to loads; Power Conditioning and Maximum Power Point Tracking (MPPT) Algorithms; Inverter control topologies for stand-alone and grid-connected operation; Stand-alone PV systems, Grid-connected (utility interactive) PV systems.

EE 321 : Analog Circuits (3 – 1 – 3 – 15 – 5)

Review of BJT and MOS transistor operation; BJT and MOS transistor biasing schemes, small signal models; CE/CS, CB/CG and CC/CD amplifiers; BJT and MOSFET high frequency models, SPICE models and simulation; frequency response of CS amplifiers; Miller’s theorem; current mirrors; active loads; cascode amplifier; differential amplifiers; feedback topologies and properties, stability, Barkhausen criterion, effect of feedback on amplifier poles, Bode plots, gain and phase margins; positive feedback and sinusoidal oscillators, Wien bridge oscillator, other op-amp based RC oscillators; multivibrators, square and triangle waveform generation; precision rectifier circuits; filter types and specifications, Butterworth and Chebychev filters first and second order filters, second order LCR resonators, active filters based on inductor replacement; data conversion, D/A converter circuits, A/D converter circuits.

EE 606 : Applied Statistical Bioelectric Signal Analysis (3 – 1 – 0 – 6 – 4)

Empirical Modeling and Approximation; Fourier Analysis applied to Biomedical Engineering; Probability concepts and Signal characteristics; Introduction to Random processes and Signal properties; Random Signal Modeling and Parametric Spectral Estimation.

EE 341 : Communication Systems (3 – 0 – 0 – 6 – 4)

Review of signals and spectra, band-limited signals, analysis of signals, distortion in transmission; linear CW modulation, methods of generation, bandwidth efficiency, synchronous and asynchronous detection, frequency division multiplexing; exponential modulation, narrowband PM and FM, transmission bandwidth, generation and detection, de-emphasis and pre-emphasis filtering; pulse modulation, sampling theorem, aliasing, PAM, PWM, PPM, time division multiplexing; pulse code modulation, delta modulation, DPCM; review of random processes and power spectral density, signal space; Noise analysis; Digital communications basic, line codes and their spectra, pulse shaping, inter-symbol interference, Nyquist criterion for distortionless transmission, equalization; Basics of digital bandpass modulation, ASK, PSK, FSK.

EE 411 : Digital Signal Processing (3 – 1 – 0 – 6 – 4)

Introduction to discrete-time signals and systems; linear time invariant (LTI) systems and properties, linear phase systems; brief review of Fourier representations; sampling and reconstruction of continuous-time signals; the z-transform, properties and applications to LTI systems; the discrete Fourier transform (DFT), properties, efficient DFT computation by FFT, effects of finite word length; linear and circular convolutions, block convolutions for long sequences; Signal analysis by DFT, spectral analysis by periodogram and autocorrelation estimates; brief review of analog filter design; IIR filters, stability, design by impulse invariance, bilinear transformations, frequency transformations of low pass IIR filters; FIR filter design by windowing method and Parks-McClellan algorithm, finite precision numerical effects; decimation and interpolation of signals, quadrature mirror filters and perfect reconstruction, subband decomposition; introduction to discrete wavelet transforms.

EE 331 : Electrical Machines (3 – 1 – 0 – 8 – 4)

Transformers – working principle, single phase transformer, equivalent circuit, voltage regulation, losses and efficiency; three phase transformer; autotransformer; instrument transformers.
Principles of electromechanical energy conversion – forces and torques in magnetic field system, field energy and coenergy; DC machines – constructional details, generating and motoring modes, classification of machines, terminal characteristics, losses and efficiency, starting and speed control of DC motors; Alternator – generation of three phase emf, circuit model, terminal characteristics, voltage regulation, parallel operation of alternators and load sharing; Synchronous motor – creation of travelling magnetic field, starting methods, speed control; Induction motor – constructional details, working principle, circuit model, terminal characteristics, starting methods, speed control; Special machines – universal motor, single phase induction motor, stepper motor, servo motor, permanent magnet motors, switched reluctance motors; Selection of motor for specific application; Engineering aspects of electric machine performance and operation.

EE 431 : Electrical Systems Lab (0 – 0 – 4 – 4 – 2)

Laboratory experiments on analog, pulse, and basic digital modulation and demodulation techniques; different transmission lines, antennas, and passive devices; digital filter design techniques, signal filtering, effects of finite word length; process control (variables: position /temperature), time response analysis, determination of transfer function for DC motor, design of lag-lead compensator; power flow analysis, stability, and fault analysis; integrated design problems.

Review of static electric and magnetic fields; electromagnetic (EM) waves and applications; Transmission lines: concept of distributed elements, transmission line equations, phase and attenuation constants, propagation constant and characteristic impedance, lossless, low-loss and distortion-less lines, travelling and standing waves; reflection coefficient and SWR, input impedance, impedance matching – quarter and half-wave lines, equivalent reactive elements, load impedance measurement, analysis of open-circuited and short-circuited lines, stub matching, power flow in a transmission line, maximum power transfer condition, graphical representation of a transmission line, Smith chart, transmission line calculations using the Smith chart, pulse propagation, various types of transmission lines; Maxwell’s equations, displacement current, time-varying potentials, Lorentz conditions, boundary conditions at media interface; EM wave propagation - in lossy dielectrics, in lossless dielectrics, in free-space and in conductors, skin effect and skin depth, intrinsic impedance, complex permittivity and loss tangent, power flow and the Poynting vector, phase and group velocity, reflection of EM waves; Waveguides: parallel plate waveguide, rectangular and cylindrical waveguides, cut-off frequency, TE, TM and TEM modes; EM radiation and antennas: retarded potentials, Hertzian dipole, short loop antenna, antenna characteristics and radiation parameters, Friis equation, standard antennas – dipole, array, aperture and horn.

EE 604 : High Voltage DC and Flexible AC Transmission Systems (3 – 0 – 0 – 6 – 4)

High Voltage DC (HVDC) Transmission: comparison of AC and DC transmission; Types of HVDC links; Major components; Selection of converters configuration; Converter charts; Converter control; Misoperations of converter; Protection against over currents and over voltages; Harmonics and suppression; Ground return; Flexible AC Transmission Systems (FACTS): Principle of compensators - shunt compensators and series compensators; FACTS controllers – based on Thyristors, based on self-commutated switches; Applications of FACTS controllers - stability improvement and congestion management in power system.

EE 333 : Power Electronics (2 – 1 – 3 – 9 – 4)

Power semiconductor devices – diodes, thyristors, BJT, MOSFET, GTO, IGBT, MCT; Drive and protection circuits; AC-to-DC converters – uncontrolled and controlled, single phase and three phase, performance parameters, effect of source inductance; DC-to-DC converters – buck, boost, buck-boost and cuk; DC-to-AC converters – voltage source and current source, square wave and pulse-width-modulated, single phase and three phase, performance parameters; AC-to-AC converters; Resonant converters – zero-voltage and zero-current switching; Applications of power electronics – power supplies, motor drives, industrial applications, power system; Harmonics and mitigation.

EE 332 : Power Systems (3 – 1 – 0 – 8 – 4)

Energy sources;Structure of power system; Basic concepts of 3-Øelectrical systems; Modeling of power system components - transmission lines,synchronous machine, loads, transformers, etc.; Per unit system; Line parameters and their calculations; Transmission line performance and analysis, Power flow – formulation and solution methods like Gauss seideland Newton-Raphson method; Economic operation of power systems – economic dispatch of generation, unit commitment, automatic generation control, and frequency control; Fault analysis–symmetrical faults, symmetrical components, sequence models, unsymmetrical faults; Power system stability–swing equation and equal area criterion of stability; Introduction to switchgears and protection.

EE 607 : Space Sciences, Engineering and Technologies (3 – 0 – 0 – 6 – 4)

Quantitative review of the composition, thermodynamics and dynamics of the region of space wherein all the satellites (including the International Space Station (ISS)) and missiles must operate; effects of Solar Disturbances (SD) on all Space systems operating therein; impact of SD on ground-to-satellite communication, on airborne, ocean and ground transportation, weather forecast, long-range power transmission, oil and gas pipelines and many other modern technologies; Detailed discussions of the effects of all solar energies (particulate, electro-magnetic and convective electric fields) on the space medium; design and implementation of technologies to ameliorate the adverse effects of SD; hands-on student participation in space projects.

EE 417 : Industrial Drives and Controls (3 – 1 – 0 – 6 – 4)

Classification and requirements of Electric Drives. Modeling of Electric Machines. Reference frame theory; Control of DC machines. Dynamic Model. Speed and position control methods. Power Converters and Control schemes for DC motor Drives.
Control of Induction Motors. Scalar and Vector control methods. Converters for Induction motor drives; Control of synchronous Motors. Vector control of Synchronous Motors. Control of special electrical machines. Permanent magnet synchronous motor, Brushless DC motor, Switched reluctance motors and Stepper motors; Servo Machines. Performance analysis and applications. Interface of drives to Microcontrollers, Programmable Logic Controllers. Use of Industrial data networks for control loops.

EE-644: Physics of Transistors (3-0-0-4-6*)

Transistor as a black box; Energy bands; Density of states; Fermi level; Recombination-Generation in semiconductors; Carrier Transport; Poisson and continuity equations; 1D energy band diagrams; Bipolar junction transistors (BJTs); Metal-oxide-semiconductor (MOS) electrostatics; MOS capacitors; Poly Silicon gates and quantum mechanical effects; MOS transistor equations; Ballistic MOS transistor; Scattering theory; Effective mobility; MOS transistor scaling; 2-D MOS electrostatics; Short channel effects; VT engineering; Series resistance and effective channel length; MOS transistor leakage; High voltage MOS transistors; SOI MOS transistors; High electron mobility transistors (HEMT): Reliability of MOS transistors

EE-645: 3D Computer Vision

Review of linear algebra, calculus of variations, signals and systems; Camera and image formation – optics; Feature detectors – edge and corner detection; Feature descriptors – SIFT, SURF, feature matching; Shape from X – Reflectance map, BRDF, Shape from shading, Photometric stereo, depth from defocus, depth from focus, RGB-D images; Single view geometry – finite projective cameras, camera parameters, point correspondences, estimation of camera matrix, direct linear transformation (DLT); Two view geometry – homography, epipolar geometry, estimation of fundamental matrix, image rectification, stereo correspondence, shape from stereo; Three view geometry – trifocal tensors; Motion – optical flow field, Estimation of dense and accurate optical flow field; Multi view geometry – structure from motion, triangulation, factorization, bundle adjustment; Internet vision – mining community photo collections (Flickr, Facebook, etc.).

EE-646: Optical and Wireless Communications

Overview of optical communications, wavelength division multiplexing (WDM) concepts, light guidance in optical fibers, step-index and graded-index fiber, mode theory, single mode and multimode fibers; Signal degradation, attenuation, dispersion and its compensation; Optical sources, semiconductor lasers and light emitting diodes, structure, spectral and temporal properties, modulation; Photo-detectors, structure, operation; WDM components, splitters, isolators, circulators, fiber Bragg gratings (FBG).
Introduction to wireless communication systems, frequency assignment strategies, cellular structure, frequency reuse, handoff schemes, fading and multipath, modulation techniques, fundamentals of equalization and channel coding, time division multiple access (TDMA), frequency division multiple access (FDMA), code division multiple access (CDMA), introduction to spread spectrum systems, IEEE 802.11 (wireless local area network), IEEE 802.15 (wireless personal area network), Bluetooth, ZigBee, near field communication (NFC),3G and 4G wireless standards, long term evolution (LTE) advanced, overview of wireless sensor networks (WSN), distributed signal processing in WSN, cognitive radio, spectrum sensing in cognitive radio.

EE 647: Asynchronous Circuit Design (3-0-0-4-6)

Course Content:
Synchronous and asynchronous systems: advantages and challenges of each paradigm, Classification of asynchronous circuits:self-timed, speed-independent, delay-insensitive; hazards isochronic forks and arbitration; Communication: two-phase, four-phase, hybrid handshaking schemes;Graphical representations: Asynchronous finite state machines, Petri nets, Timed event structures; Control circuits: synthesis of speed-independent control circuits from signal transition graph specifications;Data-path circuits: design of efficient data-path circuits with completion detection/indication; Pipelining; Micropipelines; Globally asynchronous locally synchronous systems; Multiple clock domains and interfacing between independent clock domains; Case studies: some recent (commercial) asynchronous IC's; Current research trends.

EE 424 : Embedded Computer Networks (3-0-3-5)

Introduction, history and development of computer networks, networks topologies. OSI- 7 Layer Model, Network protocols for Physical, Datalink, Network & Transport layers. Study of protocol APIs and applications for data transfer between nodes. Applications of TCP,UDP, IP over Ethernet using embedded devices for Wide Area Network (WAN).

Wireless technologies for Local Area network (LAN) using IEEE 802.11(Wi-Fi), IEEE 802.15 .4 (Zigbee), Bluetooth and its applications for embedded products.Mobile networking protocols for wireless data transfer application.

Study of networking APIs available in Linux, Windows and embedded OS.

EE 425 : HVDC Transmission and FACTS (3-0-0-6)

High Voltage DC (HVDC) Transmission: comparison of AC and DC transmission; Types of HVDC links; Major components; Selection of converters configuration; Analysis of converters; Converter control and fault analysis; Harmonics and suppression. Flexible AC Transmission Systems (FACTS): Objectives of FACTS controllers; Shunt controllers - Static VAR Compensator (SVC) and Static Synchronous Compensator (STATCOM); Series controllers - Thyristor Controlled Series Capacitor (TCSC), Thyristor Controlled Phase Angle Regulator (TCPAR), and Static Synchronous Series Capacitor (SSSC); Combined shunt and series controllers - Unified Power Flow Controller (UPFC); Improving power system’s static performance by FACTS controllers.

EE 432 : Advanced Embedded Systems with ARM

ARM architecture ; Instruction set and programming the ARM ; interfacing ADCs and DACs ; parallel I/O, serial I/O protocols (SPI, I2C, USB etc.) ; Advanced Microcontroller bus architecture (AMBA) ; Software design, Development tools ; real-time concepts.

EE 605 : Digital Image Processing (3-0-0-4)

Fundamentals- Visual perception, image sending and acquistion, image sampling and quantization; Intensity transformations- nonlinear transformations for enhancement, histogram equalization; Spatial filtering - convolution, linear and order statistic filters, unsharp masking.
Image Transforms- discrete Fourier transform, discrete cosine transform; Frequency doman filtering - DFT, image smoothing, specialized filters (Gaussaian, Laplacian, etc);
Image restoration- using spatial filters, Wiener filter; Introduction to color spaces and color image processing; Morphological image processing- erosion and dilation, opening and closing, hit-or miss transform, thinning and shape decomposition;
Image segmentation- edge detection, thresholding, region- based segmentation, watershed algorithm;
Image compression- fundamentals, lossless coding, predictive coding, transform coding.

EE 609 : Advanced Signal Processing (3-0-0-4)

Review of discrete time signals and systems, Z-transform, DFT/FFT, Digital filter structures, IIR and FIR filters; Frequency Domain Analysis - Frequency-Domain Characterization of Linear Time Inavariant Systems, Correlation Functions and Spectra at the Output of LTI Systems, Linear Time Invariant Systems as Frequency-Selective Filters, Inverse Systems and Deconvolution; Multirate Digital Signal Processing - Introduction, Decimation and Interpolation, Sampling Rate Conversion by a rational factor, implementation, applications, digital filter banks, Two-Channel Quadrature Mirror Filter Bank, M-Channel QMF Bank; Power Spectrum Estimation - Random Signals, Correlation Functions and Power Spectra, Estimation of Spectra from Finite-Duration Observations of Signals, non-parametric methods for Power Spectrum Estimation.

EE 613 : FinFET Design: Challenges and Opportunities (2-0-3-4)

Introduction to double gate transistors; FinFETs as viable DG FET alternative; Different types of FinFETs; Simulation with FinFETs; 3D vs. 2D simulation challenges; Accuracy vs. efficiency with 2D simulation; FinFETs for Low Power Design; Different FinFET logic styles, Back-gate biasing; Temperature effect on FinFETs; Impact of process variation on FinFETs; Single parameter asymmetric FinFETs; Asymmetric gate-workfunction FinFETs; Multi-parameter asymmetric FinFETs, Power-delay optimization.

EE 614 : Information Theory and Coding (3-1-0-4)

Entropy, relative entropy, and mutual information – chain rule, Jensen's inequality, Fano's inequality; Asymptotic equipartition property; Entropy rates of a stochastic process – entropy rate, Markov chains, functions of Markov chains; Data compression – Kraft inequality, optimal codes, Huffman codes, source coding theorem; Gambling and data compression; Channel capacity – channel coding theorem, zero-error codes, Hamming codes, source-channel separation theorem, communication over noisy channel, error correcting codes; Differential entropy; Gaussian channel – band-limited, parallel, colored, with feedback; Rate distortion theory; Information theory and statistics – Law of large numbers, Chernoff-Stein lemma, Fisher information and Cramer-Rao inequality; Maximum entropy and spectrum estimation; Universal source coding; Kolmogorov complexity; Network information theory; Information theory and compressed sensing.

EE 615 : Pattern Recognition and Machine Learning (3-0-0-4)

Bayes Decision Theory - Bayes decision rule, minimum error rate of classification, normal density and discriminant functions; Parameter Estimation - maximum likelihood estimation, Bayesian parameter estimation, problems of dimensionality, discriminants and component analysis, expectation maximization; Non-parametric techniques - density estimation, Parzen windows, nearest neighbor rule; Linear Discriminant Functions - hyper-plane geometry, minimum squared error procedures, generalization to multi-category case, support vector machines; Non-metric methods - decision trees; Algorithm-independent machine learning- no free lunch theorem, bias and variance, bagging and boosting, classifier combination; Unsupervised learning and clustering-K-means, unsupervised Bayesian learning.

EE 619 : Special Electrical Machines (3-0-0-4)

Permanent Magnet Brushless D.C. Motors - Fundamental equations; EMF and Torque equations; Torque speed characteristics; Rotor position sensing; Sensorless motors; Motion control.

Permanent Magnet Synchronous Motors- Construction; Principle of operation; EMF and torque equations; Starting; Rotor confiqurations; Dynamic model.

Switched Reluctance Motors-Constructional features; principle of operation; torque production; characteristics; power controllers.

Stepping Motors- Features; fundamental equations; PM stepping motors; Reluctance stepping motors; Hybrid stepping motors; Torque and voltage equations; characteristics.

EE 623 : Micro-fabrication Technology (3-0-0-4)

IC and MEMS micro fabrication overview, Introduction to process modules and CMOS process flow, Overview of semiconductor materials and devices, Crystal growth and silicon wafers, Front end proesses: Cleaning, Thermal oxidation, Ion implantation, Diffusion, Lithography, Thin film deposition and Etching, Back end processes: Metallization and Planarization, Layout design rules, Process integration, MEMS structures and fabrication techniques.

EE 629 : Power Electronic Converters (3-1-0-4)

Switched mode power supply - principle, control design; Power conditioners; Uninterruptible power supplies.

DC motor drives - adjustable speed drives; Induction motor drives - variable frequency drives, static slip power recovery scheme, vector control; Synchronous motor drives - trapezoidal, sinusoidal excitations, load commutated inverter drives; Drives for brushless machines.

Space heating, air-conditioning, induction heating, electric welding.

Converters for HVDC transmission and FACTS; Interconnection of renewable energy conversion systems.

Harmonics and elecromagnetic interference - mitigation by passive and active power filters.

EE 635 : Optical Fiber Sensors (3-0-0-4)

Modern demands on physical and chemical sensors, advantages of optical Fiber sensors and challenges; Intrinsic and extrinsic sensors, intensity-based sensors, phase modulated sensors, wavelength modulated sensors; Multiplexed point sensors, optical time domain reflectometry (OTDR) and optical frequency domain reflectometry (OFDR), applications in distributed sensor systems, smart skins and smart structures; Light sources for sensors, LEDS, SLEDs and semiconductor lasers, Fiber lasers; Spectral characteristics, tunability, spectral bandwidth, power characteristics; Laser intensity and wavelength modulation characteristics, injection current modulation, external cavity lasers; Photodetectors, PIN na avalanche photodiodes, spectral, temporal and noise characteristics; Special detetion techniques, non-coherent and coherent detection, homodyne and heterodyne techniques, data acquisition and signal post-processing techniques, sensor calibration issues; Sensors based on single-mode and multi-mode Fibers, birefringent Fibers, hollow-core Fibers, photosensitive Fiber; Case studies of specific physical, chemical and biological sensors.

EE 637 : Optical Communications Networks (3-0-0-4)

Overview and advantages of fiber optic telecom networks and architectures; WDM optical networks, network evolution, network construction, broadcase-and -select optical WDM network, wavelength routed optical WDM network; Challenges of optical WDM network; Signal routing mechanisms, optical directional couplers, splitters and combiners, isolators, circulators, fiber Bragg gratings, arrayed waveguide gratings, Fabry-Perot and thin film filters; Mach-Zender interferometers, semiconductor optical amplifiers, erbium doped fiber amplifiers, Raman amplifiers, wavelength converters, WDM multiplexers and demultiplexers, nonlinear optical loop mirrors for clock extraction, dispersion compensators. Various optical switches: electro-optic, SOA-based, MEMS, optical cross-connects, Clos architecture, OADMs, optical packet switching basics, slotted and unslotted networks, header and packet format, contention resolution in OPS networks, self routing, examples on OPS node architecture, optical burst switching, signaling and routing protocols for OBS networks, multicasting. Single and multi-hop networks, access networks, PON, EPON and WDM EPON, dynamic wavelength allocation, optical layer, node designs, optical layer cost tradeoff, routing and wavelength assignment, gigabit Ethernet, radio over fiber network, SONET/SDH systems, metropolitan-area networks.

EE 641 : Nonlinear Optics (3-0-0-4)

Light propagation in linear media, classical models of atomic polarizability, electromagnetic theory of nonlinear interactions; Nonlinear optical susceptibility, classical models of nonlinear polarization, Kramers-Kronig relations in linear and nonlinear optics, second order nonlinear optical processes; Coupled-wave equations for general three-wave mixing, energy and momentum conservation, phase matching; Second harmonic generation, optical rectification, second order susceptibility measurement techniques, parametric mixing and oscillation: Ultrashort pulse measurement, Gaussian beams, modes: ABCD matrices, optical resonators, optical parametric oscillators; Third order nonlinear processes, optical Kerr effect, four-wave mixing, phase conjugation with degenerate and non-degenerate mixing, Raman effect, spontaneous and stimulated scattering, self-focusing, optical bi-stability, third order susceptibility measurement techniques; Nonlinear optics under pulsed excitation, nonlinear Schrodinger equation, Self- and cross-phase modulation, frequency continuum generation, temporal and spatial solitons, pulse compression, nonlinear pulse propagation in fibers; Time-resolved measurements of material properties.

EE 648 : Dynamic Behaviour of Electric Machines (3-0-2-5)

Principles for electric machine analysis; Behaviour of iron-cored winding to DC and sinusoidal excitations; Behaviour of machine winding to converter fed excitations; Steady state behaviour of induction and synchronous machines – balanced and unbalanced operations; Behaviour of induction and synchronous machines to converter fed excitations; Characterizing dynamic behaviour of converter fed motors – electronicallycommutated DC motor, switched reluctance motor and synchronous reluctance motor.

EE 650 : Power System dynamics and Control (3-0-0-4)

Introduction to power system dynamics - Concepts of stability- small signal and transient synchronous (angle) and voltage stability; Equal area criterion; Modeling of power system components- synchronous generator, excitation and prime mover controls, transmission lines, loads and FACTS controllers; Induction generators for Wind Power generation; System simulation in steady state and contingency conditions; Small signal stability-design of Power System Stabilizers(PSS); Introduction to Subsynchronous Resonance (SSR)- Analysis of series compensated systems; SSR characteristics of Thyristor Controlled Series Capacitor(TCSC); Recent developments in applying technological solutions for improving dynamic security-Wide Area Measurements (WAM) and application of FACTS controllers for enabling self-healing grids.

EE 423 : CMOS Analog IC Design (3-0-0-6)

Signal processing in digital control - Sampling, time and frequency domain description, aliasing, hold operation, choice of sampling rate, reconstruction; Modelling and analysis of sampled data control systems; Difference equations and Z-transform; pulse transfer function, time and frequency response of discrete time control systems; stability of digital control systems, Jury's stability test; state variable concepts, first companion, second companion, Jordan canonical models; Controllability and Observability; Review of principles of compensator design, digital compensator design using frequency response plots, discrete integrator, differentiator, development of digital PID controller, transfer function, design in the Z-plane; Dead beat controllers by state feedback and dead beat observers; Mechanization of control algorithms – PID control laws and software implementation using Microcontrollers; Microcontroller based temperature and speed control systems.

EE 316 : Processor Architecture (2-0-2-)

Microprocessor Architecture: Its operation and design

Processor Architecture: Processor as a programmable digital system; Data Handling Modules- Programmable ALU, Temporary Registers, Register array; Address Handling Modules- Memory Address Register, Program Counter, Stack Pointer; Instruction Handling Modules- Instruction Register, Instruction Decoder, Microprogram sequencer.

Instruction Set: Machine language and assembly language; of a small Instruction Set.

Pipelining: Pipeline stages degined by the number of different functional blocks; Four- and Five-stage pipelines; Data Dependency and Branch Dependency in pipeling; Pipelined Processor architecture.

Designing Microprocessor Blocks in CMOS

The CMOS Structure and digital equivalent circuit, The CMOS Inverter, Inverter Based Gates, Pass Transistor based Combinational logic, Delay estimation using logical effort, Area Estimation using Design Rules, Power estimation

Flip flops and latches and Registers, Register Arrays, Computational Block design (ALU), Pipelining and Sequencing, Global Lines, Power Lines, Clock trees. Advanced Processor Architecture: Processor throughput evaluation- Cycles / Instruction, Instructions / cycle, Parallelism benchmarks

Digital signal processors - principle of operation, benefits, pitfalls, examples

The RISC philosophy - Introduction, merits, demerits

DLX / MIPS CPU - Simple RISC pipeline example, principle of operation, benefits, pitfalls

The ARM CPU - A state of the art RISC core

Supescalar processors - Principle of operation, benefits, pitfalls

VLIW processors - Principle of operation, benefits, pitfalls

Principles of cache memory

EE 404 : Embedded Systems (2-0-2-4)

Designing embedded systems, general purpose computer vs embedded systems, design constraints in embedded systems. Microcontroller architecture-von Neumann vs Harvard architecture, memory, and I/O, comparison of various microcontrollers. Interfacing peripherals (including analog devices), timers, CCP modules, A/D converters; Communication processes, interrupts, parallel I/O, serial I/O, protocols (SPI, 12C, USB etc.) Software design, partitioning between hardware and software, IDE, assembly language, C for embedded systems, and real-time concepts.

EE 617 : VLSI Design (3-0-0-4)

Review of MOS device operation, combinational and sequential logic design; CMOS logic families including static, dynamic and dual rail logic. Fabrication of MOS transistors, Circuit Layout: Design Rules, Parasitics. Arithmetic blocks (ALUs, FIFOs, counters), memory; data and control path design, Logical Effort. Introduction to hardware description languages (verilog), Analysis and synthesis algorithms including circuit, switch and logic simulation, logic synthesis, layout synthesis and test generation. Chip design examples, Floor-planning, Packaging.

EH-601: Earth Surface Processes (2-0-2-4-6*)

Introduction to earth surface processes and historical development in concepts, Source of energy, Mass conservation and geomorphic transport laws, Process interaction in shaping the earth surface,Nonlinear and complex behavior of earth systems. Specific Earth Surface Processes: Weathering and formation of soils, karst and speleology, slope and catchment erosion processes, fluvial, eolian, glacial, periglacial and coastal processes, and resultant landforms, Water and sediment flux in river systems, drainage pattern; rates and changes in surface processes; process measurement, Geochronology; earth system response to external controls i.e. tectonics, sea level/base level change, anthropogenic affects, Human interaction, introduction to Anthropocene; quantitative modeling of earth surface processes – Geomorphic systems; Diffusion, Advection . Analysing evolutionary trajectory of the landscapes; surface processes and natural hazards; Nonlinear behavior of earth systems and challenges in natural resource managements, Prediction of surface processes, An introduction to the earth surface of India.

EH 602 : River Morphology and Ecology (3-0-0-4)

Introduction to River Science, Introduction to geomorphic concepts: threshold, sensitivity, connectivity, hierarchy and complexity. River basin approach: Sediment source and catchment erosion processes, Transition between hillslope and fluvial processes, Longitudinal river profiles, Sediment load and sediment yield, Sediment and nutrient transport process in rivers, Erosion and sedimentation processes in channel, Geochemical proxies to study sediment dynamics in a river basin. Drainage Network: Quantitative analysis, Role of drainage network in flux transfer, 3-dimensional connectivity in a river basin, Hydrological response of a river basin, Processes in confluence zones, Evolution of drainage network. River processes and morphology: River fluxes, energy distribution and patterns of alluvial rivers - braided, meandering and anabranching channels; Hydrological, sedimentological and ecological characteristics and their interrelationship in different channel patterns; Dynamics of alluvial rivers; Different classification approaches in fluvial geomorphology and its applications. Glacio-fluvial interaction: Sources of water in river system, Hydrological budgeting in the glaciated mountainous region, Spatial variability of glacial melt component in the Himalaya. Bedrock channels: Stream Power law and Bedrock incision process; River response to climate, tectonics and human disturbance; Quantitative analysis of bedrock channel processes and evolution of fluvial landscapes. Stream Management: Fluvial hazards and their causes, Humans and rivers, Ecosystem based approach to stream management, Concept of river health, Environmental Flow (e-flow) – definition, data requirement, different approaches for e-flow estimation.

EH 603 : Terrain Modeling and Analysis (3-0-0-4)

Spatial frameworks: Concepts from Geodesy, Earth centered reference frames, Global and local horizontal datums, WGS 84,; Height references: Use of Physical and Geometric principles, Vertical datums and their relations, Ellipsoidal and Orthometric heights; Topographic surface modeling: Grid based models, TINs, Breaklines and Breakpoints, Surface interpolation methods; Photogrammetric data collection using Space borne and Airborne digital systems; Interferometric Synthetic Aperture Radar Concepts, Sensors, Data processing, Quality control; Airborne Lidar: Concepts, Sensors, Data Processing, Quality Control; DEM user applications; Terrain derivatives, Terrain Visualisation; Urban surface representation models, City GML standards; Spatial Data Infrastructure: Concepts and Examples; Examples of practical use of Spatial data Infrastructures.

EH 604 : Quantitative Geomorphology

Introduction to Geomorphic processes. Diffusion equation and its applications in modelling of geomorphic processes: Hillslope erosion processes, channel bed sediment transport process, groundwater dynamics. Numerical simulation of landforms through transport equations.Advection-diffusion equation and its applications in modelling of geomorphic processes: river response to tectonic process, knick point migration in river channel. Numerical simulation of processes through advection-diffusion equations.Stochastic processes in Geomorphology and its modelling. Graph Theory and its applications in modelling of geomorphic processes.

ES 102: Introduction to Computing (2-0-2-3-5)

Course Contents:
Basics of Computers, Operating System, Languages, Compilers, Interpreter. A quick introduction to Linux operating system: Terminal, useful commands; Programming Environments: Interactive interpreter, Scripts, IDE; Syntax, identifier, variables, operators. Control flow: conditional, loops. Data types: Numbers, strings, lists/arrays etc. Functions: Scope of variables. Recursions; Modular and Object oriented programming for solving computational problems; Scientific computation: data visualization, curve fitting.

ES 112: Computing (2-0-2-3-5)

Course Contents:
Introduction to computing: architecture, operating systems, compilers. A quick introduction to Linux operating system: Terminal, useful commands; Machine representation of numbers and characters. Basic programming in C: Variable types, operators and expressions, Control flow: conditional statements, iterations, Preprocessor directives, Functions: scope rules, recursions;
Arrays, Pointers, Dynamic Memory allocation and Strings. Input/Output, Detour: data visualization and curve-fitting using Gnuplot. Structures: basics, nested, self-referential. Data structures: stacks, Linked List etc; Using external libraries.

ES 212: Momentum, heat and mass transfer (3-1-0-4-8*)

Introduction to fluids, Fluid statics, Description of flows, Reynolds’ transport theorem, Conservation of mass, stream function, Linear Momentum balance, Navier-Stokes’ (NS) equation, Bernoulli equation and applications including flow measurement, Pipe flows and losses in fittings, Similitude and modeling, High Re flow: Prandtl’s approximation, basic inviscid flow, need for boundary layer, Magnus effect, Boundary layers- elementaryresultsfor flat plates, Separation, flow past immersed bodies; Introduction to heat transfer, rate law and conservation law, Conduction equation, Steady state conduction- concept of resistances in series and of critical thickness of insulation, Unsteady conduction: Biot and Fourier numbers, Heissler charts, penetration depth, Convection, energy equation without dissipation and pressure terms, non-dimensionalization, Nusselt number and correlations; Simple ideas of mass transfer, similarity with heat transfer, Use of steady ‘conduction’ concepts to solve simple steady cases in dilute solutions as well as in stationary solids.

ES 212: Fluid Mechanics (3-2-0-4)

Introduction to fluids, Continuum approximation, Knudsen number, properties of fluids, Fluid statics, Description of flows, Deformation of fluid elements, vorticity and irrotational flows, Reynolds’ transport theorem, Conservation of mass, Linear Momentum balance, Navier-Stokes’(NS) equation, Bernoulli equation and applications including flow measurement, Similitude and modeling, Non-dimensionalisation of NS equations, Importance of Reynolds number (Re), High Re flow: Prandtl’s approximation, basic inviscid flow, elementary plane flows and their superposition, Magnus effect, Boundary layers- elementary results for flat plates, Boundary Layer Solutions, Notion of Flow Separation. Momentum integral equation. Displacement and Momentum Thickness. Laminar and Turbulent Boundary Layers. Power Laws. Skin friction coefficient and drag estimation. Skin friction lines on surfaces. Flow through packed beds and fluidized beds; Transportation and metering of fluids, pump types, pump curves, blowers and compressors; Mixing and Agitation, power consumption, impeller types and flow patterns, mixing times.

ES 232 : Digital Systems and Microprocessors (3 – 1 – 3 – 11 – 5)

Brief review of combinational and sequential circuits; Analysis and design of synchronous sequential machines; Computer aided design and programming of digital circuits using Verilog hardware description language; FPGA; Microprocessor or Microcontroller: architecture, instruction set, programming, input-output interfacing, interrupts.

ES 211 : Thermodynamics (3 – 1 – 0 – 8 – 4)

Concept of System and Surrounding, Closed/Open Systems, Processes and Cycles; Property of Pure Substances; Property Diagrams, Property Table; Ideal gas law; First Law of Thermodynamics, Work and Heat. Reversible and Irreversible Processes;Entropy and the Second Law of Thermodynamics; Heat Engine, Efficiencies, Carnot Cycle; Entropy change of pure substances, T-s diagram and Relations, Entropy balance for systems; Rankine, Otto, Brayton Cycle; Thermodynamic properties of fluids; Application of thermodynamics to flow processes (turbines, ducts, compressors); Production of power from heat (Steam power plant; Internal Combustion Engines);Refrigeration and Liquefaction.

ES 221 : Mechanics of Solids (3 – 2 – 0 – 5)

Free body diagram, Modeling of supports, Conditions for Equilibrium, Friction Force-deformation relationship and geometric compatibility (for small deformations) with illustrations through simple problems on axially loaded members and thin walled pressure vessels, Axial force, shear force, bending moment, and twisting moment diagrams of slender members, Concept of stress and strain at a point, Transformation of stresses and strain at a point, Principal stresses and strains, Mohr’s circle (only for plane stress and strain case), Displacement field, Strain Rosette, Modeling of problem as a plane stress or plane strain problem, Discussion of experimental results on 1-D material behavior. Concepts of elasticity, plasticity, strain-hardening, failure (fracture/yielding), idealization of 1-D stress-strain curve, Concepts of isotropy, orthotropy, anisotropy, Generalized Hooke’s law, (without and with thermal strains), Notions of elasticity, Torsion of circular shafts and thin-walled tubes, Bending of beams with symmetric cross-section (normaland shear stresses),Combined stresses, Yield criteria, Deflection due to bending, Integration of themoment-curvature relationship for simple boundary conditions, Superpositionprinciple, Concepts of strain energy andcomplementary strain energy for simple structural elements (those under axialload, shear force, bending moment, and torsion), Castigliano’s theorems fordeflection analysis and indeterminate problems, Concept of elastic instability and a brief introduction to column buckling and Euler’s formula.

ES 241 : Data Structures (2 – 1 – 3 – 4)

Arrays, Pointers and Structures, Multidimensional Arrays, Dynamic memory allocation, Quicksort, Mergesort; Stacks, Simulation of Recursive algorithms using stacks; Queues, Priority queues; Linked lists: Singly linked, doubly linked list; Trees. Binary trees, Heaps, Node representation, Tree traversals. Heapsort; Binary search, Binary search trees; Graphs; Adjacency matrix, adjacency list representation, Depth first search, Breadth first search; Projects on Advanced Data Structures; Hash Tables, Red-Black trees, B-trees, Binomial heaps, Fibonacci Heap, Data Structures for Disjoint sets.

ES 231 : Signals and Systems (3 – 1 – 0 – 4)

Motivation and Basic Preliminaries of Signals & Systems – Their manifestations, Prospects of modeling a wide variety of situations in terms of Signals & Systems; Classifications of Signals in Continuous and Discrete cases, Basic Signals-Unit Impulse, Unit Ramp, Exponential (real and complex)functions, Significance of Basic Signals; Basic Operations on signals. Vector-space interpretations in terms of Basic Signals useful for evolving various transforms; Classifications of Systems – Concepts of Linearity, Causality, Stability, Time-invariance, Convolution for CT & DT signals and systems; Necessity of representations of Signals & Systems in Time- and Transformed-domains; Time-domain Analysis of CT & DT dynamic systems represented by Differential & Difference equations; Fourier-domain analysis of CT & DT for Periodic and aperiodic signals & systems- FS, FT, DFS and DTFT and inter-relations amongst them; Sampling and the associated concepts; Laplace- and Z-Transforms; Brief introduction to- DFT/FFT and Wavelet Transforms: A few typical applications.

ES 401 : Earth, Environment and Energy (3 – 0 – 0 – 6)

Earth and planetary systems; Origin of earth – atmosphere & water; Earth system – geological time scale, origin of life, glaciation on earth and causes; Dynamic Earth – interior of earth, plate tectonics and rock cycles; Earth processes & hazard- Internal processes: earthquakes/tsunamis, External or surface processes: river, coastal, slope etc., Atmospheric processes & hazards; Earth and its environment – fundamental laws of environment, concept of climate – present and past, global climate change, ozone layer depletion, global warming/ green house effect; Ecology & bio-diversity – hydrological and biogeochemical cycle, ecosystem – biotic and abiotic component, products and consumption, trophic level, food webs, energy flow and productivity; Environmental pollution – air pollution, waste disposal; Earth’s global energy balance – energy budget past and present, Energy sources; fossil fuel (coal, oil & gas), alternative sources – nuclear energy, geothermal energy, solar energy, water power, wind power etc.

ES 622 : Finite Element Methods (3 – 0 – 0 – 6 – 4)

Introduction; Basic Steps, Preliminaries and Definitions; One-dimensional Stress-Deformation: Axial column; Computer Implementation; 1-D code for 3 above; Two-dimensional Stress Deformation; Computer Implementation; 2-D code for 5 above (continuing); One-dimensional (Steady) and Transient Flow: Uncoupled Analysis, Heat Flow, and Consolidation; Computer Implementation; 1-D code for 7 above; Beam Bending and Beam-Column; Two-dimensional Field Problems: Heat Flow, Fluid Flow, Torsion; Multicomponent (e.g., structure and foundation) Systems (depending on time and interest).

ES 623 : Fundamentals of Artificial Neural Networks (3 – 0 – 0 – 6 – 4)

Introduction: History of neural networks; Structure and function of a single neuron – biological neurons, artificial neurons;artificial neural network (ANN) models; limitations. Overview of applications.
Supervised Learning: Single layer networks – Perceptrons, linear separability; Multilayer networks – Backpropagationalgorithm, applications; Adaptive multilayer networks; Prediction networks; Radial basis function networks; Support vector machines.
Unsupervised Learning: Winner-Take-All Networks; Competitive learning self-organizing maps; PCA analysis aetworks.
Associative Learning: Hopfield networks, traveling salesman problem, solving simultaneous equations, optimization.

ES 321 : Dynamics And Vibrations (3 – 1 – 0 – 4)

Newtonian dynamics of a particle, systems of particles and of a rigid body; Force, torque, impulse, momentum, angular momentum, energy, and vibrations; Two-dimensional rigid-body kinematics including motion relative to a moving frame; Brief introduction to three dimensional rigid-body dynamics; Single degree of freedom system; Free and forced vibrations (harmonic and general), types of damping; Duhamel’s integration; Two degree of freedom system; Modal analysis, diagonalisation, eigensystem, response calculations for general excitation, proportional damping; Principle of virtual work, Lagrange’s equations.

ES 332 : Control Theory (3 – 1 – 0 – 4)

Basic concepts: Notion of feedback; open- and closed-loop systems. Modeling and representations of control systems: Ordinary differential equations; Transfer functions; Block diagrams; Signal flow graphs; State-space representations, Performance and stability: Time-domain analysis; Second-order systems; Characteristic-equation and roots; Routh-Hurwitz criteria, Frequency domain techniques: Root-locus methods; Frequency responses; Bode-plots; Gain-margin and phase-margin; Nyquist plots; Compensator design: Proportional, PI and PID controllers; Lead-lag compensators. State-space concepts: Controllability; Observability; pole placement result; Minimal representations.

ES 331 : Probability and Random Processes (3 – 0 – 0 – 6 – 4)

Review of sets, fields and events, axioms of probability, probability space, conditional probability, independence, Bayes’ theorem and applications; repeated trials, Bernoulli trials; discrete, continuous and mixed random variables, probability mass function, probability distribution and density functions; examples of common random variables and density functions; conditional distributions and densities; functions of one and two random variables; moments and characteristic functions of random variables, mean, variance, correlation; Markov, Chebychev and Chernoff bounds; sequences of random variables, strong and weak law of large numbers, central limit theorem; linear mean square estimation and orthogonality principle; maximum likelihood and parameter estimation. Random processes, strict and wide sense stationary processes; ergodic processes; bandlimited and periodic processes; random processes and linear systems; power spectral density; noise processes; Wiener filtering; Kalman filtering; examples of random processes, Poisson process, Markov process.

ES 301 : Re-design to Solve Problems (2 – 0 – 2 – 6 – 4)

The course will trace the journey of transformation of a functioning product into a more useful andelegant product through a process of re-design. This will be achieved through an experiential discoveryof a new-product creation process based on an in-depth understanding of user and activity needs. Thiswill also explore different techniques of investigating the context, finding directions, product visualizing,aesthetics, detail design, prototyping etc.

Introduction to neural networks, perceptrons, adaptive learning principles, multi-layer perceptrons (MLP), back propagation algorithm, radial basis function (RBF) networks, K-means clustering, functional link artificial neural networks (FLANN), Legendre neural networks, Chebyshev neural networks, support vector machines, Hebbian and Hopfield learning; Fuzzy Computing, fuzzy sets, membership functions, fuzzy rules, adaptive neuro-fuzzy inference systems (ANFIS); Introduction to single and multi-objective evolutionary algorithms, genetic algorithm (GA), binary and real coded GA, differential evolution (DE), types of DE, ant colony optimization (ACO) algorithm, particle swarm optimization (PSO) algorithm, variants of PSO, multi-objective GAs, non-sorting genetic algorithm-II (NSGA-II); Engineering applications of nature inspired computing, evolutionary robotics – an overview.

ES-621: Advanced Solid Mechanics (3-0-0-4-6*)

Introduction: Review of suffix notations (Cartesian tensor)
Stress Analysis: Forces and moments, laws of motion, theory of stress, equilibrium equations, principal stresses and stress invariants.
Strain: deformation and velocity gradients, Lagrangian and Eulerian description and finite strain, small deformation theory, principal strains and strain invariants, compatibility conditions.
Fundamental Physical Principles: Conservation of mass, linear momentum, angular momentum, and energy.
Constitutive Theory: Generalized Hook’s law, linear elasticity relations, constitutive relations for orthotropic and anisotropic materials, yield criteria, plastic potential and associated flow-rule.
Applications: Two-dimensional problems in Cartesian and polar coordinates, Airy stress function, torsion of thick and thin-wall cylindrical shafts, general flexure problem
Variational principles and Energy methods
Thin Plates: Kirchhoff plate theory, rectangular plates

ES-617: Design of Experiments (3-0-0-4-6*)

Fundamentals: Fundamentals of statistics, introduction to probability, hypothesis testing; Design and analysis with Factorial structures & complete randomization: randomization, one factor at a time testing, factorial experiments in completely randomized design, Analysis of completely randomized design, ANOVA, Fractional factorial experiments and analysis; Design and analysis with random effects & special designs: Controlling experimental variability, two level and three level factorial experiments, analysis of experiments with random levels; Data analysis, regression and model assessment: Least square estimation, statistical significance of least squares, regression with multiple variables and covariates.

ES-302: Introduction to Python and Scientific Computing (2-0-2-4-6*)

The Unix Based Operating System: Elements of unix based operating systems—Linux/FreeBSD, Shells,Editors,Getting help—man, info pages; Programming in Python: Interpreter and its environment; Introduction to data types, operators and variables; statements; branching, conditional and iteration; functions—abstraction, recursion; floats, successive refinement, finding roots; lists and mutability, dictionaries, pseudocode; divide and conquer methods; exceptions; debugging and testing; dynamic programming—overlapping subproblems, optimal substructure; object-oriented programming, classes and methods—encapsulation, inheritance, shadowing; python modules; Pylab, SciPy, Matplotlib; Scientific Computing Projects using Python

ES-606: Computational Neuroscience

Levels of Analysis, Neurons, Electric potential, membrane potential, neural activation function, excitation, inhibition, winner take all, constraint satisfaction, Hebbian learning, principal component analysis, Infomax, MDL, error driven learning, delta rule, backpropagation, sequence and temporally delayed learning, reinforcement learning, large scale brain function, structural and dynamic principles, vision, object recognition, spatial attention models, Hippocampal long term memory models, language processing models, higher level cognition

ES-607: Foundations of Fluid Dynamics (3-1-0-4-8*)

Review of vector calculus, Introduction to tensors;Concept of continuum, Knudsen’s number;
Kinematics of fluid motion: Eulerian and Langarangian viewpoint. Basic laws: Continuity and momentum equations, Conservation Laws for Transport Processes (Mass. Momentum and Energy), Analysis of Stress in Viscous Fluids and Strain for Fluid Deformation, Constitutive Relation:, Navier-Stokes equations., Examples of incompressible flow patterns.Vorticity dynamics: vorticity diffusion, intensification by stretching, production of vorticity, Helmholts law, Kelvins theorem. Motion of Vortex Lines, Vortex Filaments and Biot-Savart Law. Potential flow: Streamlines and velocity potential. Boundary layers, concept of boundary layers, displacement and momentum thickness, von Karman momentum integral, approximate methods. Blasius and Falkner-Skan similarity solutions, flow separation, axisymmetric boundary layers, free shear layers, jets.Introduction to turbulent flows, types and characteristics of turbulent flows, energy cascade, Kolmogorov scale, Reynolds decomposition, RANS equation, closure problem.

ES 404: Networks and Complex Systems (3-0-0-4-6)

Course contents:
Introduction to networks, empirical study of real world networks: Social networks, Technological Networks, Biological networks, Neural Networks, and Information networks;
Basic concepts in graph theory, Network representation, Adjacency matrix and edge lists, weighted networks, directed networks, bipartite networks, planar networks, degree, paths and connectivity, graph Laplacian; Characterization of and measures on networks, degree centrality, degree distribution, Katz centrality, hubs and authorities, between-ness centrality, clustering coefficient, Modularity, homophily and assortative mixing. Analytical and computational tools in networks; Representation of network with gephi software package.
Random networks, properties of random networks; Small world networks: Watts-Stogartz model, properties and real world examples; Scale free networks: Barabasi-Albert model, theoretical approaches, characteristics of power law behavior in scale free networks. Examples from citation network, cellular network, internet etc.
Dynamical processes on networks, microscopic approaches to dynamical phenomena, master equation, mean field solutions; Disease spreading on networks, Basic compartmental models like: SIS, SIR and SEIR. Epidemics spreading on static and adaptive networks, with examples from SARS and H1N1; Sexual contact networks and HIV.
Resilience and robustness of networks, Percolation phenomena and phase transitions, percolation on complex networks; damage and resilience in networks, coupled networks and targeted attacks, cascading failures in network.

ES 624: Non-Linear Elasticity (3-0-0-4-6)

Course contents:
Deals with large deformation elasticity tuned towards modeling cardiac muscle mechanics.
Tensors Algebra, Tensor Analysis, Kinematics of deformation, material and spatial coordinates, deformation gradient tensor, nonlinear and linear strain tensors, strain displacement relations; balance laws, Cauchy and PiolaKirchoffstresses, Cauchy equations of motion, balance of energy, stored energy; constitutive relations, elasticity, hyperelasticity,choice of hyperelastic models, solution of selected problems, Muscle modeling (Active Stress/Active Strain approach), Numerical implementation.

ES 101 : Engineering Graphics (2-0-3-3)

Introduction to the engineering design process and the importance of technical Graphics/Drawings; Integrated design and 3D modelling, visualization - sketching & computer aided drawing, geometrics - geometry construction, shape description, multi-view drawings - orthographic projection, isometric views, axonometric projections, auxiliary & section views; Dimensioning; Assembly drawings.

ES 102 : Computing (3-1-0-3)

Introduction to the state of the art in computing focusing on hardware and its architecture, operating systems, memory management, standard programming language and programmable software environment (PSE); Machine representation of numbers and characters. IEEE Floating point numbers; ASCII characters. Variables and Types; I/O Functions and Formating; Arithmetic Operators; Forming Arithmetic Expressions; Using Variables and Arithmetic Operators and Built-In Library Functions; Operators for Implementing Decision Making; Logical expressions and control; Implementing Loops and Repetitive Processes; Tools for Modular Programming; Data Sharing/Passing Mechanisms; Functions, Pointers, Arrays, Structures Strings; File and Disk I/O Operations; Introduction to selected PSE platform, basic programming, execution and debugging; Iteration using variants of loops; Writing script Files and Creation of User-defined Functions; Flow control statements; Data Structures and Management; Scientific Visualization; Interfacing hardware with PSE; Notions of Parallel Processing.

ES 103 : Introduction to Electrical Systems (3-1-0-4)

Circuit elements – active, passive, time-variant, time-invariant, linear, non-linear, unilateral, bilateral; Sources – independent and dependent; Electric circuit and analysis – Ohm’s law, Kirchhoff’s laws, loop and node analyses, limitations of lumped circuit analysis; Network theorems – Superposition, Thevenin, Norton, Maximum power transfer; Natural and forced responses to DC excitation – RL, RC and RLC circuits; Sinusoidal steady state analysis; Polyphase circuits. Magnetic field – Biot-Savart law, Ampere’s circuital law, Faraday’s laws, Lenz law; Magnetic materials, characteristics, losses, coupled circuits. Transformers – single phase and three phase transformers, auto-transformers. Electro-mechanical energy conversion systems – DC generator and DC motor; AC Machines – synchronous generator and motor, three phase and single phase induction motors; Stepper motor. Power system - generation, transmission, distribution, costing of electricity.

ES 104 : Introduction to Analog and Digital Electronics (3-1-0-4)

Introduction to signals and spectra, analog and digital signals, basic amplifier characterization, frequency characteristics and Bode plots; Ideal operational amplifiers, inverting and no-inverting amplifier circuits, instrumentation amplifier, integrators, differentiators; effects of finite (frequency dependent) gain, DC imperfections, and slew rate on performance; terminal characteristics of ideal and practical diodes, rectifiers, limiters and clampers, voltage doublers, Zener diodes; terminal characteristics of MOSFETs and BJTs; biasing, small signal analysis, simple amplifier circuits; basic feedback theory, simple oscillators; number systems; Boolean algebra and logic gates, minimization with Karnaugh maps; adders, comparators, decoders, encoders, multiplexers; sequential circuits – basic flip-flops, asynchronous and synchronous counters, registers; programmable devices – PLA, PAL and ROM; Memories.

ES 105 : Electrical and Electronics Lab (0-0-4-2)

Frequency response of RLC circuits; Power factor improvement; Power measurement in balanced and unbalanced three phase circuits; Modeling the magnetic system by an equivalent electric circuit; Performance of single phase induction motor; Speed control of stepper motor. Diode clipper, clamper and rectifier circuits; Transistor amplifier and oscillator; Operational amplifier circuits; Combinational digital circuits; Sequential digital circuits.

ES 106 : Manufacturing and Workshop Practice (2-0-3-4)

Introduction to Manufacturing; Historical perspective; Importance of manufacturing; Classification of manufacturing processes, Engineering materials; Woodwork; Fitting Basics of Casting, Metal Forming; Basic concepts of plastic deformation; Hot & cold working; Common bulk deformation processes (Rolling, Forging, Extrusion and Drawing); Common sheet metal forming processes; Machining; Chip formation and generation of machined surfaces; Tools -geometry, materials, Common machining operations (turning, milling drilling ,shaping etc). Grinding & other Finishing processes; Introduction to unconventional machining processes (EDM, ECM, UCM, CHM, LBM) etc., Welding & Other Joining Processes, Fundamentals & classification of Joining processes, Welding, Brazing and Soldering, Adhesive bonding, Mechanical fastening, Principles of heat treating; annealing, normalizing, hardening and tempering, Manufacturing of Polymer and Powder Products, Classification of polymers, Introduction to extrusion, injection molding, blow molding, compression and transfer molding; Powders & Green compacts from powders including slip casting of ceramics; Sintering; Manufacturing for Electronics; Special Processes like Chemical Vapor Deposition, Etching, Physical Vapour Deposition; Modern Trends in Manufacturing.

ES 401 : Introduction to Human Physiology (3-0-0-4)

Survey of the human body functions and their underlying molecular, cellular and integrative mechanisms; Understanding of how we maintain homeostasis and how failure to do so translates into disease; Systems include cardiovascular, respiratory, digestive, renal, blood, immune, reproductive, nervous and endocrine; Mathematical modeling of systems; Non-invasive techniques of measurement of critical body parameters; Quantitative approaches will be stressed including those used in metabolic physiology and bioenergetics.

ES 403 : Introduction to Fire Engineering (3-0-0-4)

Introduction – Different kinds of Fire and classifications; Fire Science – The Basic Principles; The Fundamental elements of Fire Protection Engineering; Building Materials and Design; Water Supply for Fire Protection; Fire Extinguishing Systems; Fire Alarm System; Special Occupancies and Hazards; Occupancies Hazard Classification System; Fire Flow Demand for Unsprinklered Facilities; Performance Based Fire Safety Design; Codes and Regulations

ES 405 : Building narratives with Data (3-1-0-4)

Basics of data interpretation: data validity, exploratory data analysis , drawing conclusions out of data, statistical correlations and common fallacies such as causality vs. correlation, lack of statistical significance, and examples of reification; Data visualization: visual representations of data using corresponding R/python functions (ggplot, base, lattice), Integrity of visual information, visualizing multidimensional data; Case studies from different disciplines; Discussions of project phases: proposals, midterm, final narratives of all student projects.

ES 406 : Quantum Computing and Information (3-0-0-4)

Why quantum computing. Review of postulates of quantum mechanics. Qubit. Bloch sphere representation of a qubit. Algebra of qubit states and operators. Schmidt decomposition of pure states of two qubits. Quantum gates and circuits. Hamiltonians for implementing gates and their physical realization. Universal quantum gates. Implementing arbitrary n-qubit gates in terms of universal gates. Positive Operator Valued Measurement. Density matrix. Problem of distinguishing quantum states. Entanglement and separability. EPR paradox. Local hidden variable theory. Concept of classical and non-classical states and exclusive quantum effects. Bell like inequalities and other approaches to identify non-classical states. Quantum Fourier transform. Quantum computing algorithms: Deutsch algorithm, Deutsch-Jozsa algorithm, Bernstein-Vazirani algorithm, Grover’s search algorithm, algorithm for finding period of a function, and Shor’s factorization algorithms. Dense coding, quantum teleportation, quantum cryptography. Classical information and Shannon entropy. Shannon’s noiseless channel coding theorem. Classical information theoretic inequalities. Quantum information and von Neumann entropy. Schumacher’s quantum noiseless coding theorem. Violation of classical information theoretic inequalities in quantum information. Accessible information and Holevo bound. Entanglement as a resource in quantum information. Ebit. Fidelity. Mutual information. Measures of quantumness of mutual information.

ES 408 : Mechatronics

Elements of Mechatronics systems: overview of Instrumentation, Electromechanical, and Information Systems.
Actuators: Mechanical, Electromechanical, Electrical, Fluid power and Thermal systems; Characteristics, study and analysis in time and frequency domains.
Sensors and Transducers: characteristics, design and applications; Signal conditioning, A/D, D/A conversions.
Miniaturization: Micromachining and fabrication processes, Introduction to MEMS and MOEMS, Technology and Applications.
Industrial Data Networks: Inter-device communications and Data logging.
Systems and Controllers: Process Controllers, Programmable Logic Controllers, DCS, SCADA, and CNC Systems; Introduction to Computer Integrated Manufacturing.

ES 409 : Computer Vision and Imaging on Massively Parallel Architectures (3-0-0-4)

Introduction to massively parallel computing architectures – Introduction to computer vision, 2D convolution, frequency domain processing, filtering, feature extraction, projective geometry, projective and affine camera principles, epipolar geometry and stereo – History of GPGPUs and CUDA – Performance considerations in GPGPU computing – CUDA programming model and interface – Parallel programming patterns – CUDA libraries cuBLAS, cuFFT and thrust – Halide programming language – GPGPUs and CUDA for computer vision applications, 3D reconstruction, RGB-D data processing (Kinect), optical flow and visual tracking, deep learning and convolutional neural networks for scene understanding and visual recognition, mining massive image and video collections such as Facebook, YouTube, and Flickr, sparse FFT.

ES 604 : Engineering Optimization (3-0-0-4)

Introduction to Optimization; Formulation of Various Process Optimization Problems and their Classification; Basic Concepts of Optimization-Convex and Concave Functions, Necessary and sufficient conditions for Stationary Points; Optimization of one-dimensional Functions; Unconstrained Multivariable Optimization- Direct Search Methods. Indirect First Order and Second Order Methods; Linear Programming and its Applications; Constrained Multivariable Optimization-Necessary and Sufficient Conditions for Constrained Optimum, Quadratic Programming, Sequential Quadratic Programming; Optimization of Staged and Discrete Processes, Dynamic Optimization, Integer and Mixed Integer Programming. Additional topics such as convexification, Global Optimization, and mixed integer programming will be discussed.

ES 608 : Nanoscale device Engineering (3-0-0-4)

Introduction to nanotechnology, the size of things, history of nanotechnology, fabrication methods - top-down and bottoms-up, emerging applications of nanotechnology; Physics at the nanoscale, review of electrodynamics, overview of quantum mechanics and statistical mechanics, electrons and photons, wave-particle duality, electron in potential wells, tunneling, scattering of electrons and photons; Semi-classical treatment of light-matter interactions, Electron transport at the nanoscale - Moore’s law and device size scaling, fundamental limits of CMOS technology, field effect transistors, conventional MOSFET, ballistic FETs, FinFETs, single electron transistors, quantum dots photonics at the nanoscale, diffraction limit of light, optoelectronic integration, photonic crystals, surface plasmons, metamaterials, nanoantenna and optical circuits, enhanced light-matter interaction with nanoantennae; applications in sensors, energy harvesting, information processing, quantum computing.

ES 609 : Instrumental Methods of Analysis (1-0-4-4)

Column chromatography; Gas Chromatography (GC); High-performance liquid chromatography (HPLC); Ultraviolet and visible absorption spectroscopy; Infrared spectroscopy; Fluorescence and phosphorescence; Nuclear magnetic resonance spectroscopy (NMR); Mass Spectrometry; Cyclic Voltammetry (CV), Atomic Force Microscopy (AFM), Scanning electron microscopy (SEM), X-Ray Powder Diffraction Analysis (XRD).

ES 612A : Fundamentals of Artificial Intelligence (3-0-0-4)

Artificial Agent; Uninformed and Heuristic Search Strategies; Different types of Local Searches; Game Playing Theory; Planning, Knowledge representation using Logic and Rules; Bayes’ Theorem and Bayesian Networks; Connectionist models; Perception and Action to build Artificial Agents.

ES 626 : Microfabrication and Semiconductor Processes (3-0-0-4)

Introduction to CMOS technology, Overview of semiconductor materials and devices, Crystal growth and silicon wafers, Front end processes: Cleaning, Thermal oxidation, Ion implantation, Diffusion, Lithography, Thin film deposition and Etching, Back-end processes: Metallization and Planarization, Packaging, Process integration, Layout design rules, MEMS structures and fabrication techniques, Introduction to design for manufacturing (DFM).

ES 627 : Linear Algebra and Computation (3-0-0-4)

Vector spaces, linear independence, basis, inner product spaces: Applications in Fourier analysis of Boolean functions; Strassen Algorithm, Gaussian elimination: Computational issues; Computing determinant: combinatorial approach; Solving Linear Diophantine equations; Expander graphs and Eigenvalue, Raleigh quotient, Cheeger’s inequality; Factoring: Shor’s algorithm;SVD and it applications in machine learning.

ES 628 : Data-Driven Applied Computer Vision (3-1-0-4)

Review: Invariant feature detectors and descriptors, Nearest neighbor search, Clustering, Graphs, Learning algorithms; Detection and Recognition: Face detection and recognition, Object discovery and recognition, Category recognition, Context and scene understanding, Gesture recognition, Activity recognition, Human detection and pose estimation; Segmentation and Grouping: Top-down, Bottom-up, Contour detection, Normalized cuts, Super-pixels, Grab-cut, Intelligent scissors, Co-segmentation, Spectral matting, Bayesian matting, Video matting; Visual Tracking: Background subtraction, KLT tracker, Mean shift tracker, Tracking shapes, Active contours, Eye and head tracker, Visual surveillance; Learning from Large Scale Data: Community photo collections, Structure from motion, Bundle adjustment, Scene completion, summarization & chronology, Google street view, Location recognition.

ES 629 : Advanced Processes for Functional Materials (3-0-0-4)

Liquid phase processes: Crystallization in liquid solutions: Supersaturation, nucleation, growth, methods of generating supersaturation; crystallization vs precipitation; control of particle size and size distribution, use of additives to control growth and morphology; Non-classical vs classical pathways of particle formation; applications and advantages of materials formed through non-classical pathways over the materials formed via classical pathway.

Vapor phase processes: Purification of raw materials, vaporization & delivery, reaction engineering, the deposition mechanism, control of deposition rate and control of function of material properties in the context optical fiber manufacturing

ES 630 : Satellite Photogrammetry (3-0-0-4)

Historical perspective, Metric camera, Aerial photography; Statement of fundamental problem of Photogrammetry in state space formulation, Relation between Image and Object spaces; Space based platforms for Earth/Planetary observations, their classification; Satellite Orbits, their classification, formulation of orbital constraint, Space based imaging and ranging sensors, their geometric modeling; Platform attitude, platform stability, modeling of platform attitude with time; Formulation of observation equation for orbit constrained imaging; Stereo Photogrammetry from Space, Single orbit multiple devices, Multiple Orbit- Single device, Single device-single orbit-multiple imagings, Formulation of stereo observation equations for these cases with examples; Bundle adjustment; Practical uses of Satellite Photogrammetry; Characterization of sources of error based on measurements on images; Characterization of platform stability from image measurements; Approximations of Photogrammetric model by Rational Polynomial Coefficients; Specific case studies based on Indian Earth and planetary observation satellites Cartostat 1, Chandrayaan 1; Digital Elevation Model of Earth/Planetary topography from Space based observations like Cartosat-1, ASTER, SRTM, Chandrayaan-1; its characteristics and limitations; Orthocorrection of Space Imagery.

ES 631 : Advanced Heat Transfer (3-0-0-4)

Macroscopic conduction principles, heat diffusion equation; Convection: Conservation principles, overview of differential & integral equations for the laminar and turbulent boundary layers, heat and mass transfer in laminar & turbulent external and internal boundary layers; convective heat and mass transfer at high velocities; Elements of statistical thermodynamics and quantum theory for heat transfer applications; Kinetic theory and micro/ nano fluidics; Thermal properties of solids and the size effect; Electron and Phonon Transport; Non-equilibrium energy transport in nano-structures; Fundamentals of thermal radiation; Radiative properties of nano-materials

ES 632 : Energy Systems (3-0-0-4)

System tools for energy systems; economic tools for energy systems; Conventional Power Generation Technology (Fundamentals of Energy Conversion, Heat Transfer, and Fluid Mechanics; Fuel Combustion and Gasification; Steam Power Plant Technology; Gas Turbine Power Generation Technology; Gas Turbine-Based Combined-Cycle Power Plants; Nuclear Power Plants; Cogeneration and Trigeneration; Power Plants’ Environment Impact Control) Renewable and Emerging Clean Energy Systems; Solar Thermal Energy Technology; Photovoltaic Technology; Hydro-Power, Wind, Geothermal, Marine, and Biomass Energy Systems; Advanced Energy Storage; Oxyfuel Combustion, Carbon Capture and Storage, Cleaner Coal Technologies; Emerging Clean Energy Technologies)

ES 633 : Random Signals and Applied Kalman Filtering (3-1-0-4)

Probability and random variables: a review; Mathematical description of random signals; Gauss-Markov Process; Linear dynamic systems with random inputs, steady-state analysis; state-space modeling, and Monte Carlo simulation, Cholesky decomposition; Basic concepts in estimation; Linear estimation in static systems; Discrete Kalman filter basics; estimation for kinematic models; the information filter; square-root filtering and U-D factorization; autocorrelated process noise; cross-correlated measurement and process noise; autocorrelated measurement noise; smoothing; Multiple Model adaptive Kalman filter; delayed-state filter; decentralized Kalman filter; Linearization; nonlinear filtering; the Extended Kalman Filter; simultaneous state and parameter estimation; the Ensemble Kalman filter; the Unscented Kalman filter; the Particle Filter; Complementary filter; inertial navigation error model; and aided inertial navigation; position determination with GPS; the observables; receiver clock model; Kalman filter applications to the GPS; GPS-aided inertial navigation

ES 634 : Applied Multivariate Data Analysis (3-0-0-4)

Review of basics of linear algebra, random variables, probability density functions, correlation function; Process modeling linear regression, nonlinear regression, ordinary and total least squares, principal component analysis (PCA), functional PCA, non-negative matrix factorization, independent component analysis, kernel PCA; Applications, parameter estimation in linear and nonlinear processes, data reconciliation, controller performance monitoring, fault diagnosis, biomedical and speech signal processing

ES 635 : Water Quality Engineering (3-0-0-4)

Fundamental theory and application of the physical and chemical processes in water and wastewater treatment: Introduction to water quality parameters, standards, Fundamentals, optimization and design of the following processes for water treatment: Coagulation, Flocculation: Destabilization mechanism, pC-pH (coagulation) diagram, Flocculation kinetics, Sedimentation: Design equations for settling basins, Water Conditioning, Softening: Chemical Reactions for softening, Softening process design, Disinfection: Breakpoint chlorination, CT concept and inactivation kinetics, Reactor design: CSTR, batch, plug flow reactor equations, tracer tests

Ozone contactor design: Transport model for contactor design, Air stripping: Design and apply equation for air stripping process, Membrane Processes: Membrane materials, module types, High Pressure Membrane Process: Nanofiltration, Reverse Osmosis - models and their application, Low Pressure Membrane Process: Microfiltration, Ultrafiltration - models and their application, Activated Carbon Adsorption Process: Adsorption isotherms, required carbon dose, Ion exchange: Types of ion exchange resin, ion exchange design equation, Design Project: Design a water purification system for a sea-side town with the results of field tests of several water supplies in the town given.

ES 636 : Wastewater Treatment

This course covers theoretical and practical aspects of biological wastewater treatment. Microbial growth kinetics and bioenergetics, theory, modeling, and application of biological processes employed in water and wastewater treatment systems.

Biological Phenomena:
Microbial Growth (Review), Modeling of Biological Treatment Processes/Systems (Basics), Enzyme Kinetics, Kinetics of Microbial Growth & Substrate Utilization, CSTR and Batch Reactor Equations (Review), Continuous Culture Processes, Suspended-growth Processes, Attached-growth Processes, Bioenergetics and Stoichiometry of Microbial Growth

ES 637 : Mathematical Foundations for Computer Vision & Graphics (3-1-0-4)

Numerical algorithms: linear systems and decompositions – LU, QR, singular value decomposition (SVD), eigenvalue problems, variational problems, numerical solutions to ODEs and PDEs; Numerical Optimization: nonlinear systems, unconstrained optimization, constrained optimization, iterative linear solvers, sparsity; Geometry: projective geometry, transformations, polygons and polyhedra, curves and surfaces, manifolds; Graphs and Networks: graphs basics, graph cuts, belief propagation, Markov random fields, conditional random fields, convolutional neural networks.

ES 639 : Introduction to Robotics (3-0-0-4)

Introduction to Robotics Fundamentals; Rigid Body Motion - Rotation, Translation, and Homogeneous Transformation; Kinematic Chains; Denavit-Hartenberg Representation; Forward Kinematics; Kinematic Decoupling; Inverse Kinematics; Velocity Kinematics; Manipulator Jacobian and Singularities; Dynamics - Euler Lagrange Formulation; Independent Joint Control; Trajectory and Motion Planning; Multivariable Control; Force Control - Stiffness and Compliance, and Impedance Control; Feedback Linearization

ES 311 : Heat and Mass Transfer (3-1-0-4)

Basic Concepts of Heat Transfer: Modes and laws of heat transfer, Conduction, heat transfer through extended surfaces, concept of resistance, Convection, boundary layer, heat transfer coefficient, overall heat transfer coefficient, LMTD; forced convection; natural convection; boiling and condensation; radiation; Heat Exchangers: Classifications and applications of heat exchangers, fouling factor, basic concepts of heat exchanger design, Kern method, NTU methods, design considerations for heat exchangers; Diffusion; Interphase mass transfer: theories of interphase mass transfer, local and overall mass transfer coefficients, correlations; analogy between momentum, heat and mass transfer.

ES 407 : CO2 Laser technology and Sheet metal processing (3-0-0-4)

CO2 gas Lasers. Principles of excitation and generation of Laser beam. Introduction to design and construction of subsystems. Laser beam characteristics and factors governing laser power. External optics, beam transport and delivery. Polarizer, welding and cutting heads. Laser power control: continuous and pulsing modes. Power cycles Laser cutting Technology, process overview, selective use of assist gases, Laser cutting variables, Process, work piece and machine parameters for sheet metal cutting applications. Standard cutting for mild steel and high pressure cutting for stainless steels. Quality assessment of laser cuts: kerf,roughness,drag lines, burring, burns and pitting Cutting applications for wood, ceramics, polymers and non-ferrous alloys. Introduction to laser welding.

ES 611 : Algorithms on Advanced Computer Architectures (3-0-3-4)

A. Lectures-
• A survey of Computer Architectures
• Elements of OpenMPI/OpenMP Implementation on Clusters and Multi-Cores
• Elements of GPU/CUDA Computing using CUDA
• Performance Measures
• Implementing Algorithms on Advanced Computer Architectures
• Parallel Numerical Libraries (PETSc/MAGMA/P-Matlab)

B. Computational Laboratory Projects will focus on the following areas
• Introduction to HPC Resources
• OpenMPI/OpenMP Implementation on Elementary Algorithms
• GPU Computing Using CUDA for Parallel Computing
• Algorithms on Advanced Computer Architectures (MPI/CUDA)
• Application of Parallel Numerical Libraries (MPI/CUDA)

ES 612 : Artificial Intelligence (3-0-0-4)

Task Environment and its properties; Artificial Agent; Uninformed Search Strategies; Different types of Local Searches; Game Playing Theory; Propositional Logic and Inference Rules; Planning; Regression Planning; Planning in Real World; Decision Theory under Uncertainty; Machine Learning Techniques.

ES 613 : Modern Control Theory (3-0-0-4)

Introduction to linear algebra, (Matrices, differential equations and states), linear time invariant systems and its solutions, mulitivariate systems introduction, state space analysis of continuous systems, controllability, observability, stability with respect to state space analysis, Conversion between transfer function and state space models, Lyapnov theorem for stability, full state back control design, pole placement and control, overview of important concepts in stochastic data analysis, Kalman filters for state estimation, Discussion on Kalman filter as Best Linear Unbiased Estimate (BLUE), Introduction to Model predictive control (MPC) for linear systems with emphasis on linear quadratic control; Advanced topics based on Time criteria: Case studies with emphasis on use of Kalman filters with MPC for state estimation and control.

ES 614 : Time Series Analysis (3-0-0-4)

Fundamental concepts in stochastic systems; white noise processes; Autocorrelation function, partial autocorrelation function; stationary time series models such as AutoRegressive (AR) and Moving Average (MA) models, ARMA process, relationship between AR and MA process, Yule walkers equations; review of Fourier transform, Discrete Fourier Transform; spectral analysis, spectral theory of stationary processes, periodogram and properties, smoothed spectrum, ARMA spectral estimation, data differencing and introduction to ARIMA (AutoRegressive Integrated Moving Average) models, introduction to seasonal models, discussion on outliers and developing models in presence of outliers, brief overview of ARCH (AutoRegressive Conditional Heteroskedastic) models.

ES 616 : Digital Control Systems (3-1-0-4)

Signal processing in digital control- Sampling, time and grequency domain description, Reconstruction; Modelling by difference equations and pulse Transfer function; Time response analysis of discrete time systems; Stability of Discrete time systems; Jury's stability test; State space models; Controllability and Observability; Lyapunov method of stability analysis, Lyapunov functions; Review of compensator design, digital compensator design using frequency response plots; Digital PID controller; Finite settling time design; Dead beat systems and inter-sample behaviour; State space approach for digital controller design - pole placement, output and state feedback, observer-based design - full order and reduced order; Dead beat controllers; Mechanization of control algorithms - Real time implementation of digital controllers.

ES 625 : Optical Communications (3-0-0-4)

Overview of optical communications; Planar optical wave guides, modes and the eigenvalue equation, single-mode and multimode fiber; Group velocity and material dispersion, inter-modal and intra-modal dispersion, attenuation, pulse dispersion, fiber bandwidth, dispersion management; wavelength division multiplexing (WDM) concepts, Signal degradation, attenuation, dispersion and its compensation; Optical sources, semiconductor lasers and light emitting diodes, structure, spectral and temporal properties, modulation schemes; Photo-detectors, structure, operation, quantum efficiency, responsivity, spectral and temporal response; Detection schemes, coherent and non-coherent detection, performance analysis; WDM components, splitters, isolators, circulators, fiber Bragg gratings (FBG), Fabry-Perot and thin-film filters; Optical amplifiers, erbium doped fiber amplifiers

ES 202 : Introduction to Materials (3-0-0-4)

Introduction to materials and their classification, Atomic bonding and Crystal Structures, Imperfections and strengthening mechanisms, Diffusion – steady and nonsteady state, Corrosion and degradation of materials, Properties and applications: Mechanical, Thermal, Electrical, Magnetic, Electronic, Biological, Chemical. These topics will be interspersed with several case studies and in-class experiments/demonstrations.

FP 100 : Foundation Programme

Introduction to IIT Education & UG Curriculum, Departments and Academics, Values and Ethics; Comprehensive Viva-Voce; Introduction to Engineering, engineering graphics, computers and computing, and electrical systems; Introduction to and sensitization about social issues, global & Indian history, challenges (social, cultural, religious, economic, political, and technical) facing the contemporary society, technology and development, and role of scientists and engineers; Skill development workshops; Field Trips to places of social, cultural or scientific interest; Technical Visits to shop floors, local industries, etc.; Small innovative projects to dissect or develop some products or ideas.

FP-101: Introduction to Engineering (0-0-2-1)

Course Contents:
This course will provide a bird’s eye view of all the engineering disciplines to the first year students. In addition to providing information, this course will also open avenues to appreciate and develop engineering aptitude by looking at various real world problems. This course will have invited lectures from eminent academic and industrial personalities, interaction sessions with IITGN faculty members, panel discussions, hands-on activities in laboratories, tours to certain industrial and research facilities, group discussions, etc.

FP 601: Cultures of Communication (2-0-2-4)

Course Contents:
This course provides an induction for a graduate student to enter into fields of thought, action and communication with other researchers from divergent disciplines as well as ideologies. Structured like a foundation, the course will focus on specific themes each year to be handled by a group of faculty members. Specific themes may include: listening ‘silences’; decoding the visual; the uncertainty principle; peer group evaluation; conversation across disciplines; philosophical assumptions and knowledge making; activism as communication; How to ‘read’ arguments in quantitative and qualitative research.
The course will include activities such as the following: Panel discussions, field visits, invited speakers, group discussions, self-analysis through diagnostic tests; cross-disciplinary perspectives through observations studies.

HS 103 : French Studies (3 – 0 – 0 – 4)

This course is meant for beginner level students. At the end of the course the students will be capable to communicate effectively. The course will combine elements of language, cross cultural competences and French literature and culture. Through a theme (“telling who you are and where you are form”), a topic is defined for each lessons (“Places names, counting, asking questions, pointing things out”). The objectives for each lesson will combine four domains: expressions, new vocabulary, structures (grammar, syntax) and cultural elements. Several supports are going to be used to reach the lessons objectives: multimedia (audio, video, pictures) and texts, all extract from French culture in order to develop cross cultural competences and to expose the student to meaningful input from the French language.

Alphabets and Nuqtas; Alif, AlifMudd, and baigharana; JeemGharana and short vowels; Dal gharana and non conectors; Sen toGhain; Fe to Du chashmi he; Letters and words with du chashmi he; Long vowels; Long vowels and Introduction to Poetry; Markers; Hamzah; How to make plural; Reading & writing Prose and Poetry.

Structure of various poetic genres such as ghazal, nazm, qasida, marsia, rubaiyat, etc. Examples of each poetic form written by masters such as Meer, Ghalib, UstadZauq , Jigar, Faiz, saHir and others in the context of their background and lives.

Contents: At the end of the course the students will be capable to communicate effectively on the following subjects: Talking about personal effects, one’s job, daily routines, telling time and talking about the weather. The course will combine elements of language (vocabulary, structure, listening, pronouncing, speaking, reading, and writing) and cross cultural competences. The students will be exposed to authentic language in spoken and written form. Methodology: Through activities students will be inspired to use their skills in French language and will improve them by working on several small projects during the class.

HS 104: Introduction to Sanskrit Language and Literature (3-0-0-4-6)

Course Contents:
This course will take a bird's eye view of Sanskrit literature starting from the Vedas and covering different literary genres, such as kavya, nataka, epic, Purana,niti, etc.It will also give some basic information about scientific and technical literature in Sanskrit;
The Course will commence with explaining the elementary basics of Sanskrit grammar with the help of subhashitas, a repository of knowledge based in experience. Next will follow an analysis of some original Sanskrit passages from various poetic compositions of repute,like Hitopadesha,Panchatantra, and works of Bhasa, Kalidasa,Bhavabhuti,Banabhatta, etc.

HS 201 : World Civilizations and Cultures (3 – 0 – 0 – 6 – 4)

Comprehensive overview of several important civilizational developments in the history of the world. The course will focus on how multiple cultures from around the globe have developed varying scientific, artistic and philosophical modes of knowledge in their pursuit to understand the human condition, society and the world at large. Civilizations to be covered in class include, but are not limited to, the Indus, Vedic, Mesopotamian, Egyptian, Han, Mayan, Aztec, Greek and Roman. Emphasis will be placed on the advancement and transmission of scientific knowledge, the implications for cross-cultural interactions, and the plurality of global thought.

HS 304 : Imagining India (3 – 0 – 0 – 6 – 4)

Myths about India and India in mythology; making of the nation (imaginations of Gandhi, Nehru, Ambedkar); a divided house (Partition and its trauma); the Nehruvian era (Socialism and the secular dream); the License Raj; Emergency; India and its Others ( a discussion on identity politics and marginal sections such as religious minorities, Dalits, tribals); new economic reforms and India’s new self-definitions; the new Indian middle class.

HS 404 : Indian History Through Cinema (3 – 0 – 0 – 6 – 4)

How cinema plays an important role in Indian society, shaping its identity and also reflecting it. Some of the ‘moments’ in Indian history: Nation-making (Mother India), Partition (Mammo/Train to Pakistan), the farmer in cinematic landscape (Do BighaZameen/ Upkaar), caste practices (AchhotKanya) anxieties about the “West” (PurabaurPaschim), the Hindi question (ChupkeChupke), questioning the state and democracy ( andhakanoon/ankur), alternative movements(manthan), liberalization and consumption (Hum AapkeHainKaun), diasporic identity (Pardes), mixing languages (Jab We Met), caste today (Aarakshan), young India ( Rang De Basantietc), sexuality and identity-politics (Fire; I AM).

HS 610 : Reading English in English (3 – 0 – 0 – 6 – 4)

Instruction in English in the nineteenth century; English language and nationalism; language policies and debates in India after 1947; dynamics between ‘regional languages and English’; English and English media and creative arts, the role of English in advertising and in recent times, information and technology, digital English, globalization and many English(es).

HS 611 : City as Region : The Case of Ahmedabad (3 – 0 – 0 – 6 – 4)

With the impacts of globalization, urban spaces in India are constantly in transition, being reinvented and re-inscribed by changing political and social meanings. This course emerges out of the necessity to study such forms of inscription and, as such, cuts across several disciplines within Humanities and Social Sciences, especially sociology and anthropology. The course contents are as follows:

The city in the Indian nationalist imagination; the urban turn- the renewed focus on city as society; ‘city-scapes’- recent studies of urban space in India; uses of urban culture- methodologies and praxis; ‘making’ the region (Gujarat) - paradigms and debates; narratives of Ahmedabad’s urban history; city branding and city imagineering-the culture industry in Ahmedabad; city as region- politics and issues.

HS 307 : Music Traditions of India (3 – 0 – 0 – 6 – 4)

Comprehensive overview of several important traditions within the Indian musical heritage, including but not limited to Vedic chant, dhrupad, khyal, thumri, Carnatic music, Hindustani music, regional folk genres, qawwali, bhajan and film music; Overview of important musical treatises with a focus on Bharata’sNatyaShastra; Fundamentals of rasa theory and Indian aesthetic principles; Introduction to theoretical and aesthetic aspects of raga and tala; Lives and contributions of twentieth century music practitioners; Socio-economic and political aspects of music production, circulation and access.

Sociological perspectives: what is sociology?; answering and asking sociological questions; “sociological imagination” (C.W Mills); Sociological theories: Emile Durkheim; Karl Marx; Max Weber; Pierre Bourdieu; McDonaldization of society (George Ritzer); Inequality: social stratification, class and caste; gender (education, employment and health inequalities with special focus on India); sexual inequality (social construction of heterosexuality/ heteronormativity); Sociology of Education: Pierre Bourdieu and cultural capital; sociology of science and technology (SCOT); sociology of professions- the making of the Indian engineers; women and science/technology education; Culture; Media and Representation: popular culture; mass media; media representation; cultural imperialism debates; role of social media
Social Movements: Theories of social movements; Social movements in India; ICTs, social media and social movements; Sociology of Globalization:-what is globalization?; globalization debates; consequences of globalization; globalization and development (Stiglitz); in defense of globalization or making globalization work.

HS-311: Writing for Mass Media (3-0-0-2-3*)

Fundamental of reporting and writing for the print, broadcast the online media; news concepts, leads, story structure, news style, reporting techniques, editing, media law and ethics.This course introduces students to newsgathering and writing techniques in a professional environment and to different forms of writing for the mass media, such as print, broadcast, public relations and online.

Historically, cognition and emotion were considered two independent processes that did not interact much with each other. Moreover, the study of emotions was considered subjective and therefore unscientific in a scientific world dominated by behaviourism. However, recent developments in cognitive neuro-sciences have enabled the study of emotions in a scientific manner and have increasingly shown evidence to its interconnectedness to cognition. What are the implications of such inter-connectedness? How do our feelings affect our thoughts, memory, decision making etc. and vice-versa?; Topics will include: nature and measurement of emotions, categorical and dimensional approaches to affect, Affect cognition relations in specific cognitive processes like perception, attention, memory and judgement.
Assessment:

HS 406 : Introduction to Social Demography (3 – 0 – 0 – 3 – 2)

Demographic Theories (emphasis on the Demographic Transition Theory); fertility, mortality & epidemiological transitions (concepts, measurement issues and population policy); population growth and economic development (implications for environment and policy issues); Family demography (changing family behavior, marriage, divorce, non-marital fertility and cohabitation).

HS-308: Classical Indian Literature in English Translation (3-0-0-4-6*)

Comprehensive overview of several important works of classical Indian literature in Sanskrit, Prakrit, Pali, Tamil, Telugu, Kannada, Persian and other languages. All texts will be read and analyzed in English translation with some references to the original texts. Works to be covered will include excerpts from the following texts, authors and compendiums: Vedas, Upanishads, Tripitika, Sattasai, Sangam, Puranas, Mahabharata (including the Bhagavad Gita), Ramayana, Asvaghosha, Kalidasa, Bhavabhuti, Amir Khusrau, Basava and others. We will also explore the greater history and evolution of literary cultures in India by contextualizing premodern literary production within a framework of synchronic social, religious and political developments. Students will also be encouraged to produce their own translations of classical literature.

HS-312: Society and Stress System (3-0-0-2-3*)

Overview of relationships between social factors, stress systems, and organ systems;
Relationships between stress, sleep, and metabolism; Links between mother’s stress during pregnancy and children’s health; and Evaluating research on stress coping strategies.

HS-407: Ideas of India (3-0-0-2-3*)

Competing ideas of India: Examining the competing visions of modern India. Readings from primary texts by Gandhi, Nehru, Sir Syed Ahmed Khan, B R Ambedkar, M. S. Golwalkar and Savarkar. Hind Swaraj and Gandhi’s idea of India: What is freedom? What is self-rule? What should be the contours of new India? Who belongs in this India? Who are India’s ‘enemies’? The question of minorities. Nehru’s modern India: Indian history as one of syncretism and inclusion. The importance of ‘unity in diversity; and national integration; modernity and industrialization. Sir Syed Ahmed Khan and Indian Muslims: The question of Muslim modernity and backwardness and their place in India. Hindu Nationalist India: The proposal for a ‘two nation theory’; creating a ‘Hindu Rashtra’; fear and exclusion of minorities; the reconfiguration of caste.B R. Ambedkar and the question of Dalits: Destruction of caste system, separate electorates versus reservations, differences and agreements with M.K. Gandhi.

HS-303: When you cannot experiment: social science methods (3-0-0-4-6*)

Social status; economic status; poverty; caste; gender; social networks; social support; social capital; income inequality; neighbourhoods; surveys; longitudinal studies; natural experiments; quasi-experiments; interviews; focus groups; propensity score matching; social interventions; social change.

HS 629: Mobs, Crowds and Citizens: Democracy and Mass Mobilization in India (3-0-0-4-6)

Course Contents:
This course will examine India’s distinctive experience with democracy through a focus on mass mobilizations and public opinion formation. What forms of political mobilizations produce mobs, crowds and citizens? What is mass society and how does it differ from democratic participation; tyranny of majority and threats to democracy. Beginning with seminal works on the theorization of “crowds” and “mass society” from a comparative perspective, we proceed to investigate the historically specific ways in which mass publics have been constituted in India. Democratic mass mobilization to understand the process by which masses become citizens; Crowd participation in ethnic violence in South Asia and its troubling relationship with electoral democracy; Post-liberalization elite mobilizations in India.

HS 630: Reading Gujarat: Everyday Representations of the self and State (3-0-0-4-6)

Course Contents:
Making of the region; processes of homogeneity and state-building; the rhetoric of ‘Asmita’; processes of myth-making; encountering ‘otherness’; caste and social movements; the religious and spiritual; examining Gujarati literature; media and mediation.

HS 322: Introduction to Demography: Population measures and social processes (3-0-0-4-6)

Course Contents:
Theme 1: Demographic concepts, measures and methodologies
Introduction to Demography: History of world population and Origins of Demography;Age-sex composition structure andpopulation pyramids; Rates and Probabilities: e.g. demographic rates, concepts of period and cohort, age standardization, Lexis-diagrams, age-specific probabilities; Vital processes: e.g. data and measures of mortality, birth interval analysis; Life Tables and Single Decrement Process :will draw case studies fromseveral countries including India and the U.S; Population Projection: Projections and forecasts methodologies, projections in matrix notation; Stable and Stationary Population Models:e.g. Lotka’s equation characterizing the stable population, population doubling time, stationary Population.
Theme 2: Social Demography
Demographic Theories& Perspectives (e.g. Malthus, Marx,Demographic Transition Theory, household economics and anthropo-cultural perspectives of population change); Politics of Reproduction: the politics of contraceptive technology and “unmet need”;Migration: theories, global patterns and consequences of international migration; Family Demography: changing nature of unions, marriage, divorce and cohabitation; Population growth and economic development debates

HS 323: Global poverty and Development Aid (3-0-0-2-3)

Course contents
While acknowledging that most transnational development efforts are motivated by a well-intentioned aim to improve lives of impoverished people, this course will critically evaluate the enterprise of international development and aid. Among topics for study are: Development and its discontents: Competing theories on “development” of the Third World; contemporary trends, challenges and “best practices” in the development of the global south; Economic aid and development: are they are related?; Debt and aid effectiveness: with special focus on structural adjustments, debt crisis and rise of conditionality; Concept of global social contract, specifically the role of global economic institutions (IMF, World Bank, bilateral aid programs) in addressing unequal opportunity and global market failures.

HS 408: The Impact of Colonialism: Nationalism and Gender (3-0-0-2-3)

Course contents
This course aims to compare the impact of British and Portuguese colonial systems and policies on local cultures and values. Furthermore the course aims to highlight cultural differences and specificities of each colonialstructure and strategy, as well as their influences on contemporary India. At the heart of the discussion will be present- day Indian communities specifically focusing on gender inequalities and social segregation (women and Dalits). In more specific terms, the topics are as follows: Orientalism and gender; gender and nationalism; nationalism and fundamentalism; gender and social segregation; post-colonialism and diaspora

HS 631: Digital Cultures and New Media (3-0-0-4-6)

Course Content:
The core focus of the course is to understand the significance of digital cultures and the role of new media in shaping public life and opinion. The discussion will revolve around creative dissent, strife, and the role of new media in the concerns for ‘peace’ and ‘justice’. The course will be conducted through a series of case-studies, field projects, and seminars.
Some of the modules proposed to be covered in the course are as follows: (a) The story of the print media (case-studies of The Statesman, The Young India, The Harijan, The Telegraph); (b) The role of television (case-study of Doordarshan, case-study of exit polls and television ad-campaigns, the national debates, and the media trials); (c) Films of peace and strife (Issues of Censorship; case-studies of Judgment at Nuremberg, Rang De Basanti, Mr. and Mrs. Iyer, Firaaq); (d) Digital media: (Hyper-text and Blogging; the role of blogs and freedom of expression; photo-journalism and documentaries); (e) Social networks and micro-blogging (case-studies of Jan Lokpal movement, creating a tribe called IIT through social networks and blogs)

HS 632: A Multilingual Nation (3-0-0-4-6)

Course contents:
Language and statehood; colonial scholarship on language; linguistic reorganization of states; Language : hegemony, culture, economics; language and “dialect” debates; the Eighth Schedule, Linguistic nationalisms in India (Konkani, Bodo, Oriya, Rajasthani, Hindi, Urdu etc); the cultural politics of English; purity vs hybridity debates (“Hinglish,” “Tamlish” etc) and the role of translation in a multilingual society

HS 633: Scarred Nations : Partition in the Indian subcontinent (3-0-0-4-6)

Course contents
The ramifications of the 1947 Partition in Bengal, Punjab and Sindh have been far-reaching. Recent scholarship interrogates the temporal marker of 1947 and suggests the persistence of fragmentation of memories and identities in postcolonial India. Topics covered include but are not limited to : Indian nationalism; moments of revivalism; economies of regions; from high-politics to testimonies; narrating the ‘other’; beyond the Hindu-Muslim binaries; divisions of the word, space, music, and histories; Partition in the East; displacement and memory in the West; the cinematic Partition; Partitions of contemporary India.

HS 634: Qualitative and Quantitative Research Methods (3-0-0-6-4)

Course contents:
Approaches to research (qualitative versus quantitative); research questions; conceptual models; textual analysis; ethnographic methods; open-ended interviews; counterfactual causal theory; directed acyclic graphs; confounding; mediation; moderation; measurement; scale development; community-based randomized experiments; quasi-experiments; longitudinal studies (cohort/panel); cross-sectional surveys; factorial studies; threats to validity of causal inference; manuscript writing.

HS 409: Society, Human Development and Health (3-0-0-2-3)

Course contents:
Overview of physical, cognitive, and social development across the life course from the prenatal period through advanced adulthood. The influence of social environments and institutions and international comparisons of health, education, and social policies on human development and health will be explored. Particular attention will be paid to exploring the role of culture and the interplay between nature and nurture.
Topics include: prenatal development and neural plasticity; cognition, learning, schooling and moral development; peer relationships, cultural influences on the transition to adulthood; marriage, family formation, childrearing practices, and work; successful aging, physical and cognitive decline

HS 324: Cinema and Society Across Cultures (1-0-2-2-4)

Course contents:
Films from around the globe have captured our attention ascompelling glimpses of other worlds. Masterworks of cinema, they are firmly anchored in their own societies and histories, yet they have a universal appeal. Are films from distant lands windows to other cultures? What is the relation between cinema and society? Can film esthetics (style and form) engage with anthropological knowledge to deliver the viewer cross-cultural understanding?Taking key films from East Europe, West Africa, (regions where the instructor has extensive expertise) we shall study film production and consumption, social structure and cultural meaning, film esthetics and critical knowledge, and the possibilities for intercultural understanding. We take the period from the 1950’s to the 1980’s, when (as it shall transpire) film and national culture had a mutually defining relation in both regions.

HS 410: Complexity Studies in Economics (3-0-0-4-6)

Course contents:
The topics covered in this course are (I) A Philosophical and Methodological approach to Economy using Complexity Sciences (II) The structure of interaction (III) Macroeconomics and Growth (IV) Financial Markets (V) International and Monetary Economy Dynamics (VI) Regional Economic Systems (VII) Evolutionary Economic Dynamics

HS 115: Gujarati Studies (3–0–0–4)

Course Contents:
This course introduces non-Gujarati students to the basics of Gujarati Language (largely spoken, to a lesser extent, written), literature and culture. Starting with learning basic Gujarati language using the manual A step by step course towards mastering Gujarati, it will attempt to draw some insights into the psycho-Socio aspects of Gujarati linguistics. The course will also incorporate aspects of Gujarati culture and ethos as revealed in the literature, grammar, idioms, proverbs and poetry.
The course will also introduce the students to the Basics Gujarati Literature and its thousand year old history. Through short tour of surrounding tourist spots of cultural, literary and linguistic significance, we also intend providing exposure to the Gujarati art and expression, beliefs and perceptions and if possible, taste and cuisine.
Through basic exposure of Language, Literature and culture, the course intends taking one closer to the Gujarati world.

HS 633 : Scarred Nations : Partition in the Indian subcontinent(3–0–0–4)

Course Contents:
The ramifications of the 1947 Partition in Bengal, Punjab and Sindh have been far-reaching. Recent scholarship interrogates the temporal marker of 1947 and suggests the persistence of fragmentation of memories and identities in postcolonial India. Topics covered include but are not limited to : Indian nationalism; moments of revivalism; economies of regions; from high-politics to testimonies; narrating the ‘other’; beyond the Hindu-Muslim binaries; divisions of the word, space, music, and histories; Partition in the East; displacement and memory in the West; the cinematic Partition; Partitions of contemporary India.

HS 632 : A Multilingual Nation (3–0–0–4)

Course Contents:
Language and statehood; colonial scholarship on language; linguistic reorganization of states; Language : hegemony, culture, economics; language and “dialect” debates; the Eighth Schedule, Linguistic nationalisms in India (Konkani, Bodo, Oriya, Rajasthani, Hindi, Urdu etc); the cultural politics of English; purity vs hybridity debates (“Hinglish,” "Tamlish" etc) and the role of translation in a multilingual society.

HS 403: Paradox of Indian Democracy(3–0–0–4)

Course Contents:
This course aims to make sense of what political scientist Myron Weiner described as the “Indian paradox”, by examining how India's immense diversity and the problems of exclusion (relating to region, caste, religion, class and gender) are negotiated within the framework of a functioning democracy. It will begin by exploring the ideas and contestations surrounding the founding of the modern Indian nation-state through the writings of historical figures such as Gandhi, Nehru, Ambedkar and Savarkar. The course proceeds to critically understand the dominant themes of modernity, secularism, popular participation and communalism that continue to animate post-independence politics in India through the writings of contemporary social scientists. Ultimately, the course seeks to equip students with the intellectual tools and historical grounding necessary to reflect on the central puzzle of the Indian paradox: what makes Indian democracy survive, despite its many challenges? The course uses films and documentaries as an integral part of the syllabus to complement the readings.

HS 502: South Asia: History, Society and Culture(3–0–0–4)

Course Contents:
This course provides a broad survey of fundamental developments in South Asian history, culture and society. The geographic focus of the class will be the Indian subcontinent and will include the peoples and histories of India, Pakistan, Bangladesh, Nepal and Sri Lanka. Critical ideas relating to social structures, religious practices, modes of polity and the production of art and literature will be explored from a historical perspective so as to highlight how these multi-dimensional cultural practices have both changed and remained constant over time and space. The course will examine events and ideas from ancient, medieval, early modern, colonial, post-colonial and contemporary South Asia. Themes of cultural adaptation, rejection, assimilation and transformation will provide a critical framework to understand how this culturally rich, complex and diverse region of the world has evolved over many millennia.

HS 307 : Music Traditions of India (3–0–0–4)

Course Contents:
Comprehensive overview of several important traditions within the Indian musical heritage, including but not limited to Vedic chant, dhrupad, khyal, thumri, Carnatic music, Hindustani music, regional folk genres, qawwali, bhajan and film music; Overview of important musical treatises with a focus on Bharata’s Natya Shastra; Fundamentals of rasa theory and Indian aesthetic principles; Introduction to theoretical and aesthetic aspects of raga and tala; Lives and contributions of twentieth century music practitioners; Socio-economic and political aspects of music production, circulation and access.

HS 314 : Global Performance (2–0–0–2)

Course Contents:
This course will challenge the students to analyze and experience the profession of a Global Stage Performer within a series of theatrical genres. The components of the Performers instrument: Body, Voice, Speech, and Imagination will be isolated and dissected. Acting Techniques will be explored leading to a benchmark of expressive freedom - freedom from tension - coupled with the ability to adapt and adjust to aesthetic adjustments chosen by an outside eye, or the Director. Performance exercises and the articulation of a common vocabulary regarding success or failure will create a safe container for creativity in the face of public scrutiny. Once the instrument is liberated to express fully, a variety of theatrical genres will be introduced to expand the range of Performer expression. These genres may include but are not limited to Primitive Ritual and Story-Telling, Cirque and Clown, Melodrama and Commedia Dell’Arte, Vaudeville and Tragedy.

HS 101 : English Studies (3-0-0-4)

This course is designed to provide students with the necessary tools to improve their practical use of communicative English. To this end, the course will include the following four patterns of learning. Listening: accurate, complete and coherent grasp of basic content in lectures as well as dialogues/conversations; Speaking: development of confidence in the use of English language for basic spoken expression at the interpersonal level; Reading: culturally familiar semi-technical and non-technical readings for the purposes of basic comprehension of content, as well as advanced comprehension of underlying compositional structures, development of ideas, and modes of assimilation (understanding, retention, analytical/critical engagement); Writing: vocabulary (scope and correctness/appropriateness), correct grammatical expression (agreement, tenses, sentence structure), clear and coherent development of ideas in a composition through an understanding of the process of writing from pre-writing through revision.

HS 102 : Pleasures of English Studies (3-0-0-4)

This course will introduce students to the nuances of English Studies. The following are the broad objectives of the course: Develop critical, creative, and analytical thinking abilities appropriate for responding to a variety of rhetorical situations and genres; Foster appreciation and sensitivity for some of the world’s seminal writings and creative projects; Introduce the concept of using reading and writing as a process of inquiry; Emphasize interactive and active learning.

HS 105 : Chinese Language & Culture for Beginners (3-0-0-4)

This course will focus on the basic skill of Chinese pinyin; writing of the characters; more than 100 words and expressions for day-to-day use and functioning; forty key sentences for responding to situations; introduction to Chinese culture.

HS 107 : Chinese Studies –2 (3-0-0-4)

This is a comprehensive Chinese course which will focus on the skills of Chinese reading, speaking, listening and writing. The vocabulary will be enlarged to 300-500 words and students will master more than 100 key sentences. This course will also continue to build on the understanding and knowledge of Chinese culture.

HS 108 : Japan Studies (3-0-0-2)

Theoretical Framework: How to View and Assess Society, Culture, and Institutions; Demographic and Geographic Features of Japan; Japanese History I: Ancient Period to Medieval Period; Japanese History II: Modern Period to 1953; Japanese History III: 1954 to1989; Japanese History IV: 1990 to Today; Japanese Culture I: Values, Beliefs, and Norms; Japanese Culture II: Tradition and Modernity; Characteristics of Japanese Language, Communication and Human Relations; Japanese Economy: Framework of Understanding Economy; Japanese Economy: Miracle to Stagnancy – Impact of Globalization; Japanese Politics and Japan’s International Commitment: Gap between What Ought to Be and What It Is; Current Critical Social Issues.

HS 116 : Urdu script and poetry II (1.5-0-0-2)

Vocabulary, idioms, synonyms, antonyms and reading comprehension.

HS 117 : Urdu poetry interpretation II (1.5-0-0-2)

Structure of various poetic genres such as ghazal, nazm, qasida, marsia, rubaiyat etc and understanding the underlying similarities and fundamental differences between them. Examples of each poetic form written by eminent and famous poets in the context of their background and lives.

HS 151 : Economics (3-0-0-4)

Basic principles of economics including consumer and producer behavior, market structure, introduction to strategic behavior, decisions under risk and uncertainty, simple models of macroeconomics (especially the IS-LM framework), discussions of frontier topics in both micro and macroeconomics, and an introduction to basic regression analysis.

HS 202 : History: Making of the Modern World

History is often dominated by tales of conquests and wars. Yet, it is as important, if not more, to understand how people live, how they make a living, how they consume, save or invest, what they read, what music they listen to, what ideas inspire them, what do they believe in and how they adopt or adapt to change.

This course will examine political, economic, technological, social and cultural changes of the last five centuries that have affected peoples across the world. Particular focus will be on the emergence of the modern nation state, the rise of empires, colonization, the industrial revolution, revolutions, independence movements, decolonization, the role of technology and the development of a global economy.

Indus civilization; Post-Harappan transition and the Aryan debate; Gangetic civilization; Sacred geography and the making of India; Early Indian society; Woman and child in ancient India; Main schools of thought and belief systems; Ethics and values; Knowledge systems and knowledge transmission; India’s ecological traditions; An overview of Science and Technology in ancient India; Architecture and sacred geometry in classical India; India’s interface with other civilizations.

HS 212 : Introduction to the Humanities (3-0-0-4)

This course introduces students to the practices, methods, and forms of analysis which make up the Humanities through literature, film, and philosophical texts. We explore key areas such as the through reading and viewing of primary sources. The necessity of learning not only how to think but why to think is the primary locus. To achieve this students engage with not only broad questions such ‘What is Thinking?’, ‘What is Gender?’, ‘What is Religion’, ‘What is Narrative?’ or ‘What is Nature’ but more localized concerns in the way these questions both shape and alter the various realities that we all engage in and what are the relations between them. To that effect we focus on the relation between perception and world; religion, the uncanny, and narrative; Postmodernism and narrative; digital and virtual culture; the environment and animality; and being, knowledge, and thinking. Students gain not only an introduction to the humanities but an introduction to key academic skills via an emphasis on critical thinking and discussion, close reading, and writing.

HS 221 : Introduction to Philosophy (3-0-0-4)

What is it to philosophize, Different aspects of philosophy: Metaphysics, Epistemology, Ethics, Logic; Philosophy in ancient Greece: Heraclitus, Parmenides, Socrates, Plato, and Aristotle; Philosophy in ancient India: Orthodox and heterodox schools; Modern Western philosophy: Rationalism and empiricism; Metaphysics: Problem of universals; Epistemology: Knowledge as justified true belief, Gettier counter-examples; Ethics: Meta-ethics and normative ethics, Different ethical theories; Analytic philosophy: Frege, Russell, Wittgenstein, Austin, Quine, and Kripke.

HS 313 : When you cannot experiment: social science methods (3-0-0-4)

Social status; economic status; poverty; caste; gender; social networks; social support; social capital; income inequality; neighbourhoods; surveys; longitudinal studies; natural experiments; quasi-experiments; interviews; focus groups; propensity score matching; social interventions; social change.

HS 325 : Archaeology: Concept, Content and Practice (3-0-0-4)

This course will focus on the key concepts of archaeology, its development, space among other disciplines, contribution of sciences in archaeological investigations, excavation and discovery of new civilizations, understanding social archaeology, environmental archaeology, ancient technology, public archaeology and underwater archaeolog

HS 326 : Harappan Civilization (3-0-0-4)

The discovery of Harappan Civilization, its nomenclature, extent and distribution, evolution of the Harappan culture from the regional cultures, distinct features of Harappan culture like architecture, pottery, copper metallurgy, bead industry, weighing system, writing system, trade relations with the Mesopotamians, religion, society & political system, Harappan art, burial practices.

HS 330 : Katha: the power of the story (3-0-0-4)

Story as primal mode of narrating life to story as a genre, self and the world, narrative traditions, Katha, Kahani and Kissa, mobility, intertextuality and localisation, text and context, Panchatantra, Hitopadesha, cultural readings/appropriation of the “story”, short story and modernity, orality and logocentricism, short story and the marginalised, versions and plurality, narration and historical memory, versimilitude and imagination, theories of form, influence from the West.

HS 331 : Exploring the Foundations of Indian Civilization (3-0-0-2)

Indus civilization; Post-Harappan transition and the Aryan debate; Gangetic civilization; Sacred geography and the making of India; Early Indian society; Woman and child in ancient India; Ethics and values; Schools of thought and belief systems; Knowledge systems and knowledge transmission; India’s ecological traditions; Architecture and sacred geometry in classical India; India’s interface with other civilizations.

HS 411 : Economic Concepts and Issues in Project Analysis (3-0-0-2)

Stages of project appraisal, Marketing, Technical, Financial and Economic appraisals; Significance of investment analysis, Financial feasibility analysis or capital budgeting; Five critical parameters of investment analysis, Size or cost of project, Life of project, stream of net benefits, salvage value, discount rate; Overview of investment criteria; Project and environment, externality and valuation notions; Select case study.

HS 413 : Understanding Nine Decades: India 1857-1947

An overview of recent Indian history that will examine competing visions for a free India, competing strategies for winning independence, and competing national or social goals in the century before 1947. It will look at different historical trajectories and their intersections, including the trajectories of movements for independence and self-government, movements for and against inter-religious partnership, movements for social reform and social justice, and regional and linguistic movements.

HS 414 : Introduction to Politics

State and institutions: Exploring the nature of the modern state; comparison between Parliamentary and Presidential forms of government (India, UK and US); the judicial system (special focus on the role of the Supreme Court in defining the “Basic Structure” of the Indian Constitution); Election Commission. Political formations and representation: party politics: The ‘Congress system’ and multi-party rule in India; rise of the Hindu nationalist BJP; caste reservations in India and (race related) affirmative action politics in South Africa and United States. Social movements and civil society: role of civil society in deepening or threatening democracy (Latin America and India); NGOs; women’s movements and farmer’s movements. Identity and ethnic politics: meaning and history of secularism (unique features of Indian secularism compared to western concept of secularism) and communalism in Indian politics (ethnic and religious conflict; politics of multiculturalism (India, France and Canada). Political economy: neoliberalism and liberalization of Indian economy; politics and redistribution (critical focus on Employment Guarantee and right to work policies); the remaking of cities in the era of globalization (India, China and USA), rise of middle class politics.

HS 415 : Disrupting cartographies: space, place and narratives

What is in a map? – the line and the word, Maps as drawing with lines and a text that represents geography; Descriptive text as a map; Sacred and profane spaces - how mapping signs the differences between sacred spaces, and places, and the worldly realities. Cosmographical maps, representing the world according to different religions; Singing maps - maps made by Australian aboriginals, that have to be sung while people walk through the space; Colonial cartography as dominance; Drawing lines – inclusion or exclusion - how mapping is a act of power and ordering territory and populations, in order to control. How these maps assign different places for different parts of the society; Maps and imagination; Cartographies re-imagined - how the use of precise geographical tools does not avoid that we draw what we imagine; Contemporary concepts – organizing the world - how anthropologists and artists are questioning the divisions of the world map; Places of belonging; Locality and embodied narratives - anthropological, theoretical and artistic approaches to the emotional relations we built with places; Space as socially constructed and the meanings we give to certain places that we feel belonging to; Space and contested places, topographies of contestation - political and social contestation through the use and revindication of spaces; Urban places as a ground of social discussion: slums and their eviction, infrastructures, buildings that are occupied.

HS 416 : Mapping technology and society (3-0-0-4)

Across disciplines, technologies and social sciences: Engaging on thinking how crossing disciplinary borders enables us to approach societal issues in a more comprehensive mode. What are the links between technologies and social sciences and how anthropology is fundamental to the social use of technologies?; Collaborative research: Introduction to methods incorporating different disciplines and distinct approaches, in order to organize research under different perspectives; A first approach to a village - its territory: Introductory fieldwork visits to the villages to be studied, in order to have a first sense of the realities we can observe. Under the notion of ‘territory’, we can start to discuss what happens in that place; Different layers of a map, mapping: Geography, urbanism, social and spatial structure’ – research on different subjects found in the villages where field work is done. How in the same place, a village, we find different realities and many topics to analyze, and how we can build different maps focusing on different aspects; Population, social world, social use of space: Engagement with ethnographic methods to discuss what are the meanings and contexts of the realities observed. Space and its use as translating the social universe of the studied villages; Constraints and problems, developmental matters: Observation and analysis of societal issues present in the villages - from water management to electrical connections, education, health or agricultural production. Cross these analyses with the discussions on ethnographic methodology to better understand the social and cultural contexts of the issues; Creative brainstorming – problems and solutions: Engaging with the recent anthropological research on infrastructure and development, in order to broaden a creative approach to the research projects using different media of registering and thinking: drawings, maps, photographs, film.

HS 417 : Global Political Economy

Economics and politics have always been inextricably interlinked. Kingdoms and nation states have survived and thrived on their ability to forge viable economies. Starting from Antoine de Montchrétien’s coining of the term, économie politique has defined world history in modern times. Developments such as industrialization, colonization, division of labor, development of infrastructure and evolution of institutions have transformed the world beyond recognition. In an era of globalization, political economy assumes more importance to understand the past, present and future.

Aesthetics, places and narratives: The dialogue between anthropology and arts, political contexts, social revolutions, economic inequalities, development and environmental problems; Ethnographic mediums: Different modes of producing an ethnographic work (text, film, art works etc.); Displacement, hybridity and fluidity: The recent researches and projects studying displacement and movement across borders. Studies on cultural hybridity, fluidity of cultural references and how anthropology today also focus on movement and inter-connections and not only in fixed contexts; Senses of belonging: The study of senses of belonging as essential to understand the personal experiences behind historical processes; Violence and war: Anthropology of war and how can we study violence in order to understand what are the meanings of violent upheavals; Questioning colonialisms, memory and postcolonial critiques: The critiques of the remains of colonialism in the actual world order, how postcolonial countries have been building official historic memories; Ruins and ruination: How the research on ruins and the processes of ruination can direct us towards questioning the consequences of historical processes in the daily lives of the ones who live with the consequences of those processes; Intimacy and narratives, aesthetics of resistance: Thinking on how personal narratives, the notion of intimacy and aesthetics can broaden the research on resistance and dissent; Disrupting the archive: The archive as ethnographic field, questioning how archives are built and preserved, and how this opens space for debates on official histories and alternative stories.

HS 504 : India and the Colonial Encounter (3-0-0-4)

Production of knowledge about the colonized; Making of the colonial economy and other fundamental aspects of the colonial state apparatus; Interpretation of colonial policies in terms of theories of continuity and change; Social and economic impact of colonial policies on indigenous society; and various modes of resistance of the colonial order by sections of the peasantry and the middle class.

HS 507 : Humanism, Anti-humanism, and Posthumanism (3-0-0-4)

This course focuses on the emergence and legacies of Humanism into what is now called Posthumanism. We will discuss the origins of humanism, the various forms its takes, and its contemporary manifestations; various critiques of humanism (Anti-humanism); and new forms of humanism and ways in which it is being transformed, discarded or renewed (Posthumanism). The primary focus is on the question of what is the human, and what are its relations to others. To achieve this we approach a broad range of material concerning the human’s relation to animality, exceptionalism, knowledge, identity, subjectivity, technology, and gender, and how each of these relations shift as Humanism, Anti-humanism, and Posthumanism, draw and re-draw the boundaries between them.

HS 508 : Introduction to Indian Knowledge Systems

Indian knowledge systems, darshana, jñana and vidya, their continuous and cumulative nature; Traditions of argumentation (tarka), text interpretation, commentary and knowledge transmission; Social organisation of knowledge; Philosophical systems; Traditions of grammar and language; Systems of aesthetics, Natyashastra and the rasa theory; Systems of economy and polity (arthashastra); Systems of ethics (nitishastra) and values; Ayurveda; Systems of mathematics and astronomy, their nature, methods and accomplishments; Systems of chemistry and alchemy; Agriculture as an interplay of shastra and loka parampara; Systems of architecture (shilpashastra) in principle and application; Systems of water harvesting and management; Systems of military science and martial arts.

HS 603 : Survey of Modern World Literature (3-0-0-)

This course will

Study representative works of modern world literature.

Emphasize consideration of the literary, cultural, and human significance of selected works of the Western and non-Western literary traditions, including women's, minority, and ethnic literature from around the world.

Promote an understanding of the works in their cultural/historical contexts and of the enduring human values which unite the different literary traditions.

Pay attention to critical thinking and writing within a framework of cultural diversity as well as comparative and interdisciplinary analysis.

HS 606 : Philosophy of Mind (3-0-0-)

Cognitive Science and philosophy of mind: Epistemic and metaphysical issues of mind in Cognitive science. Western theories of mind: Dualism, behaviorism, materialism, eliminativism functionalism, physicalism, phenomenology, representational theory of mind, modularity of mind and identity theory. Neurobiological approaches to mind: Patricia Churchland arguments, the binding problem, the problem of Mary's Knowledge, Connectionism. Computational approaches to mind: Searle's Chinese room argument, intentionality, the problem of intelligence and the representational nature of mind. Indian theories of mind: Heterodox: Jainism and Buddhism; Orthodox: Samkhya, Nyaya and Vedanata

HS 637 : Social Gerontology: Aging and the Life Course (3-0-0-4)

This course analyzes sociological and cultural aspects of aging from a life course perspective. The course will adopt an intersectional and interdisciplinary approach to examine questions of gender, the body, family, identity, social practices, medical and legal discourses surrounding aging. Specific topics include: Theorizing aging across disciplines (history, demography, economics, anthropology and feminist studies); cultural representations of age and aging (body, self-image advertising, consumer culture and ageism); family structure and intergenerational relationships (social networks, caregiving and grand parenting); later life in a transnational era (questions of identity, ethnicity, nation and transnationalism); the politics of aging; and social policy.

HS 638 : Disease, Health & Inequality (3-0-0-4)

This course draws on medical anthropology, public health and development literature to examine the relationship between disease, health and inequality. The course will encourage students’ critical engagement in understanding the embodiment of inequality and the larger historical, social and economic forces that shape people’s health experiences globally. In particular, the course will begin with a discussion on the links between science and colonialism and subsequently move on to more contemporary debates on the inequalities of disease, suffering and infections (e.g. HIV/AIDS, Ebola and cancer), social determinants of health and illness, organ trafficking and commodification of human bodies, bioethics of global health practices and a critique of humanitarian aid and market-based medicine in the context of global health. The course will conclude with an examination of medicalized resistance to power and health as a human right.

HS 639 : Archaeology of Ideas (3-0-0-4)

The course is structured around a cluster of ideas and concepts that humanity through centuries has reflected upon through centuries. Its purpose is to discuss ruminations by thinkers across time and space to explore how pluralistic viewpoints and concepts have shaped human life and society. This excavating nature of the course, it is hoped, will also ensure that no one single society or civilization is privileged as the centre of intellectual and metaphysical thought. While its possible that some discussion would be situated in modernity, the purpose is to focus on universal themes such as : Truth; Identity; Silence; Myth; Experience

HS 640 : Human Development: theory, measures and policies (3-0-0-4)

Introduction to neo classical theories of development. Sen’s framework of development as enhancing human freedom and capabilities, concepts and theoretical foundations of human development; Dimensions of human development: empowerment through education, health and economic opportunities, equity through democracy and people’s participation and equality through political freedom and gender parity. Concepts of economic growth, socioeconomic inequality, human capital, quality of life and deprivation; Measures of development- Economic: income, and poverty, Health: Life expectancy, child mortality, disease burden and malnutrition, Education indicators: Gross Enrollment Ratio (GER), dropout rate and school life expectancy, Gender: gender disparity indicators in education and health. Inequality measures: Gini, Atkinson and Simpson index. Cumulative indices: Human Development Index (HDI), Inequality adjusted HDI and Gender Development Index (GDI); Policies and governance impacting human development. Rights based approaches to social deliverables such as education, health, and nutrition. Links between governance and human development, role of state like legislative, judiciary and executive in framing policies, and role of civil societies and media.

HS 641 : South Asia through Literature (3-0-0-4)

Select readings from Sri Lanka, Bangladesh, India, Pakistan, Afghanistan, Myanmar, Nepal, and Bhutan
Genres: Fiction (short-stories and novels); Non-Fiction; Poetry; and Cinema, Translations and primary writings in English
Topics:
South-Asia and formation of the SAARC cluster; Texts written in the twentieth and twenty-first centuries; Socio-cultural heterogeneity of South-Asia; Identity politics; Cultural tropes; Cultures of Translation; Landscape and Ecology; Idea of geo-political borders; Nationalism and cosmopolitanism; Diaspora and native writings; Postcolonialism; Literary and cultural histories, Homogenization of South Asia

HS 642 : Structures and Hydrology in Ancient India

Introduction to emergence of structures in Archaeology: Cave shelters, Making of temporary structures, Emergence of habitational structure and Emergence of Religious structures; Emergence and Development of Structural Stupa Architecture: Origin of Stupa Architecture -Theoretical aspects, Stupa Architecture - Pre-Mauryan and Mauryan periods, North and Central India-Sanchi, Bharhut, Sanghol, Deccan-Pauni, Amravati, Nagarjunkonda, Gandhar-Taxila, Structural monasteries and Chaityas; Emergence and Development of Rock-cut Architecture: Theoretical aspects. Eastern India- Udaygiri, Khandagiri, Western Deccan- Bhaje, Pitalkhora, Kondivate, Kondane, Bedasa, Karle, Nasik, Kanheri, Junnar, Ajanta and Aurangabad, Eastern Deccan-Guntapalle. Central India-Bagh, Udayagiri. Western India-Junagrh, Talaja. Hydrology and hydrologic cycle, Rain gauges, Evaporation, Flood, Water supply, water Conservation, Water quality, Water harvesting

HS 305 : Perspectives in Psychology (3-0-0-4)

Market Structure; Perfect Competition, Monopoly, Oligopoly; Elements of Market Structure: Concentration, Product Differentiation, Barriers to Entry; Effect of Technology on Market Structure; Theory of Pricing; Basics, Bundling and Tying, Multipart Tariff, Peak Load Pricing, Advance and Over booking, Quality based pricing; Decision making under uncertainty; Role of Information; Asymmetric Information: Adverse Selection, Market Signaling, Contracts, Moral Hazards; Efficiency Indicators.

HS 327 : Anthropology, Citizenship and Human Rights (3-0-0-4)

The course aims at emphasizing the division between public and academic perceptions and constructions of citizenship and human rights grounded on an anthropological approach. These topis will be illustrated in different societies from the viewpoint of disadvantaged people and social groups such as migrants, refugees, exiles, homeless, dispossessed. India will be taken as a reference and the students will be stimulated to carry out fieldwork at the margins of the social structure. Euro and ethnocentrism will be criticized.

HS 328 : Social History of Dissent (3-0-0-4)

This course will introduce students to conceptual issues concerning protest history or the history of dissent in India and other parts of the world in the eighteenth, nineteenth and twentieth centuries. The purpose of the course is to understand the constitutive factors determining different modes of protest. The course will pick and choose from a wide variety of movements such as the French Revolution, the Revolt of 1857, some of the nationalist movements that took place in Europe during this period, the nationalist movements in India led by the Indian National Congress and the numerous peasant and 'tribal' rebellions of the colonial period in India.The course will also discuss other modes of protest which have been equally and perhaps more effective at times than direct action in resisting subjection and bringing about change. Students will be exposed to conceptual issues such as the socio-political factors determining specific modes of protests, the role of the mob in a movement, the question of 'agency' or autonomy of marginalized groups in interpreting and changing their conditions and so on. The focus of the course may vary from year to year. However the emphasis will be mostly on protests by peasants, forest dwellers, factory workers, migrants and indigenous and colonized peoples.

HS 329 : Global Narratives (3-0-0-4)

This class addresses the growing need for international exchanges around culture and the aesthetic dimensions of intercultural engagement. With a focus on storytelling and performance techniques, writing and examination/analysis of text-based sources, including films, literature, music within a global framework; the class comlements and expands current communication modules. This class calls upon the student to investigate his/her own viewpoints, assumptions, convictions in regard to themselves and the world around them and giving voice to them in the safequard of the classroom through guided instruction from the professors. From initial or exploratory self-revealing narratives of the individual, the class moves on into the more formal analysis of various global texts from Aeschylus to the Puranas. This class is designed to contextualize the personal narratives of students in a pro-active search for an authentic voice mediated by the ancient ground of global narratives.

HS 503 : Globalization: Shifting paradigms, processes and implications (3-0-0-4)

This graduate level course will focus on the competing definitions and paradigms of globalization, drawing from a variety of disciplines including sociology, economics, political science and culture studies. It will include discussions on global production networks, development debates, role of global governance institutions and global inequalities. In addition, the course will analyze sources, consequences and modalities of transnational migrations and related issues of identity, belonging, citizenship and diaspora, with particular attention to how definitions of gender and sexuality are reproduced, deployed and negotiated in these processes. Overall, the course is open to myriad forms of economic, social and cultural globalization in our times.

HS 505 : Research Methods in Humanities and Social Sciences (3-0-0-4)

This is designed as a foundational course for those intarested in research in the Humanities and Social Sciences. It is meant to familiarize students with a broad range of methods and analytical tools commonly employed in research in these fields. The course has been divide into two broad componants- Quantitative and Qualitative Methods. In Quantitative Methods, students will be taught how to conduct quantitative studies with a focus on understanting research questions, conceptual models, counterfactual causal theory, confounding, mediation, modaration, measurement scale development study designs, and threats to validity of causal interence. In the Qualitative segment, the focus will be primarily on Ethnographic and interpretive Methods and Historical Research and Cultural Analyses. In the first part i.e., Ethnographic and Interpretive Research, students will learn how to conduct interviews and Focus Group Discussions and analyze the data obtained from field surveys. In Historical Research and Cultural Analyses, on the other hand, students will be taught some basic conceptual and methodological issues pertaining to the historical discipline. The primary focus will be on themes such as the ways and means of dealing with objects from the past, the manner of conducting archival research, various orders of evidence, the usefulness and methods for studying orality and memory and the cultural significance of objects and images as well as the methods of using these as source materials for historical enquiry.

HS 621 : India on the Verge of Colonialism (1500-1700) (3-0-0-4)

In this course students will critically read and comment on selected readings from recent scholarship focused on understanding Indian modes of thought and ways of being before the full-fledged entrenchment of British colonialism. Readings will focus on cultural transformations relating to the production of regional literatures, the interactions of multiple religious traditions, mobility of social groups and the disintegration of centralized modesof governance among others. The late-medieval/pre-modern period will be explored with a view to understand how and why India became fertile soil for colonial enterprises, and what epistemic shifts (if any) resulted in these formative encounters.

HS 623 : Research Methods in Cognitive Psychology (3-0-0-4)

Introduction to the research process – initial observation, generating theory, generating and testing hypothesis; Experimental designs – translating a research question into a research design, introduction to some popular methodologies and designs like the factorial design, quasi xperimental design and functional designs; Statistics – how do we know what the data holds; exploring relationships and differences; Ethical concerns – using human participants; deception in psychological testing.

HS 624 : Tropes of Time and Topography: Select Fiction from South-Asia (3-0-0-4)

Analysisoffictional texts from the subcontinent with focus on the temporal, geographical, and ideological tropes: The selected novels based on Srilankan, Bangladeshi, Indian, Pakistani, Buremese, and Nepalese regions; Enquiry into the question of “South-Asia” as a collective entity; The course content will highlight cultural-philosophical and literary elements in the novelistic medium.

HS 628 : Indian Literature in English Translation (3-0-0-4)

This course brings together imaginations in and about India from different regions and eras. Intended to be an in-depth study of literature as both narrative artifacts as well sociohistorical documents, the course is a detailed study of fiction from languages and regions as varied as Assamese and Malayalam, Bengali and Telugu, Hindi and Tamil. This wide gamut of fiction is available to us in English translation. The instrutor will collaborate with doctoral students in understanding the texts, the contexts that produce them and also the language politics that surround the translation of these texts. Of the many texts that from a part of this course, some are U.R. Ananthamurthy's Samskara; Munshi Premchand's Godaan; M.T. Vasudevan Nair's The Second Turn; Rahi Masum Raza's Topi Shukla;Shankar's Chowringhee; Angahyat: The Stepchild and others.

HS 635 : India Through the Writer’s Eye (3-0-0-4)

This course will explore representations of Indian society and culture through a variety of Indian English and Bengali texts (in translation). The special emphasis will be on an overlapping and intersecting body of texts written in the two languages. It will engage in critical and analytical thinking, and will examine the different elements that comprise fictional writings. It will also examine the various styles, trends and critical approaches to literature.

HS 636 : Theories of social epidemiology (3-0-0-4)

This course will introduce students to theoretical perspectives that explain the distribution and determinants of disease in society. The focus will be on the application of these theories to understand the impact of social determinants of health. History of public health; development of theories of disease distribution; historical and political influences on development of theoretical perspectives; ancient theories of health; traditional epidemiological models; individual-level health behaviour theories and models; social-ecological model; psychosocial theories; social production of disease (political economy of health); ecosocial theory; importance of theory; application of social epidemiological theories to disease distribution; implications for health policy.

HS 402 : Introduction to Anthropology (3-0-0-4)

Nature of anthropological knowledge, history, methodology; Anthropology and experience, formulation of anthropology of experience, snthropology of experience and the way how individuals experience their culture; Anthropology and cognition, a priori representations and anthropological analysis, perception and/or action and their cognitive constraints, the nature of cognitive processes in Anthropology; Contemporary themes and perspectives, colonial and postcolonial studies, Europe and its "others"; exoticism and the construction of otherness, from Orientalism to the Subaltern Studies; Anthropology of globalization, The local, the global and the glocal, Nationalism and transnationalism; Migration and diaspora, Ethnicity and cultural minorities, citizenship and human rights; India in the world, Cosmopolitanism and diaspora, the consumption of Indian Culture.

HS 610 : A Critical Joumey Through Select Thoughts and Theories (3-0-0-6)

The course will be executed through the following segments:
These Beginnings

Socatic Dialogues (selections)

Plato's Apology

Aristotle's Physics - Book IV

Select Readings from Sir Francis Bacon's Advancement of Learning

Emmanuel Kant. Selections from the Critique of Judgement

Arthur Scopenhauer, The World as Will and Representation- Volume I, Book III

Jean-Francois Lyotard, "Lessons on the Analytic of the Sublime"

Walter Pater, "The Renaissance: studies in Art and Poetry" In a "Dialogue"

Mikhail Bakhtin. "Discourse in the Novel" from The Dialogic Imagination Julia Kristeva. Selected Chapters from Powers of Horror

HS 506 : Theoretical Perspectives in Social Sciences and Humanities (3-0-0-4)

This course aims to introduce students to the essential theoretical tools and frameworks used in the social sciences and humanities. This is done by examining key theoretical concepts in understanding society and culture such as: state and power; conceptions of community; modernity and post-colonialism; culture and representation. Understanding the modern state: its changing nature and relationship with the individual, society and market; Power: how it relates to coercion, authority and resistance; interrogating conceptions of community – class, caste and gender: the value of theorizing each of these specific concepts and how they intersect with each other. What is modernity? How does modernity impinge upon political structures, social processes, and aesthetics? Post-colonialism: the critique of hegemonic forms of knowledge production and the value of subaltern perspectives, Culture: understanding its meaning and using this framework to examine identity and difference, discourse, symbols and texts.

IN 331 : Building Biotechnology : Science, Ethics, Law & Business (3 – 0 – 0 – 6 – 4)

Science: Inspiring properties of biological systems, Biotechnology vs. Pharmaceutical Drug Development, Tools and Techniques (Bioinformatics, Proteomics, Microarrays, Functional Genomics, Manufacturing, Nanotechnology), Green (agricultural), White (industrial) and Red (medical) biotechnology applications. Law: Intellectual property, licensing and regulation. Business: Business models, Company characteristics, R&D Stages, Project Selection, and Outsourcing. Ethics: Research involving animals and human subjects, Animal cloning, Privacy issues.

IN-601: Perspective of Nanotechnology and Nanobiotechnology

Perspectives of Nanotechnology, Business of Nanotechnology.Nano-optics (Surface plasmon and Quantum dots).Nanocomposite thin films and their applications.Nanocomposite materials (organic polymers, clay and ceramic).Nano-fibers (Carbon Fibers and Nanotubes).
Nanobiotechnology: Immunoassays, Micro- and Nanosensors and Applications, Optical Nanosensors.BiomimeticNanomaterials.Medical Nanotechnology: Introduction, Nanoparticles and Nanoencapsulation for Medical Applications, Guiding and Stimulating Tissue Function and Growth

IN 791: Independent Project (0-0-0-3-4)

Course contents:
The course will involve open ended projects on topics selected by students other than their thesis; It requires at least 100 hours of work to earn 3 credits by the student in a given semester. The disciplines will inform the students about the requirement of report submission and presentations. Students are encouraged to choose topics from outside their field of expertise; Students can seek guidance from a faculty member in selecting the topic and developing the scope of work.

IN 792: Independent Research Seminar (0-0-0-3-4)

Course contents:
The course will involve comprehensive literature surveys and open seminars on topics selected by students other than their thesis; It is expected that two to four of such seminars will be delivered in a semester on the same or different topics; It will also require submission of at least two reports during the semester, which will illustrate the work done by the student towards these credits and also include a summary of any other seminars attended by him/her in the Institute or outside during that period. Students may be encouraged to choose some of those topics from outside their field of expertise; Students can seek guidance from a faculty member in selecting the topic and developing the framework of the presentation.

IN 201 : The Discovery of Mathematics (3-0-0-2)

Early history of mathematics - Origin of numbers, zero, counting, computation, in various civilizations; A chronological treatment of about 20 mathematical personalities and covering their life stories, highlighting famous and/or elegant results, contributions to fields of mathematics and their applications (if any); Famous conjectures and famous paradoxes; Periodic discussions on framing of a problem mathematically, the need for rigor, and various approaches to proofs

IN 304 : Ancient Indian Technology

This course will cover a whole range of issues from Archaeology to Ethnography of use of stone, ceramic and glass in pre-modern India. This course is going to alert students to the contextual nature of technologies and how different societies respond to different needs within the environmental, material and cultural constraints. This course will also involve a number of experimental studies and visit to the surviving traditional industries. History of Ancient Indian technology; Surviving traditional technologies in India; Raw materials used in Palaeolithic Technology: Rocks; Palaeolithic Technology: Evolution of stone tools through time; Stone working: Stone objects (grinding stone, beads etc.); Shell, Bone and Antler Working; Ceramic Production: Pottery and Terracotta; Glass Making and Working; Furnaces/Kilns; The carriers of our heritage

IN 401 : Operational Excellence (2-0-0-2)

Operational excellence through Lean Enterprise, Six Sigma, Toyota Production System (TPS) and Shingo Prize methodologies.
Improving key performance indicators of financial and operational performance of a company.
Customer satisfaction through ISO standards, regulatory compliance and continuous improvement.
Process re-engineering and innovation in meeting “world class” standards through Lean Six Sigma tools, design for Six Sigma quality, compliance to industry standards, customer advocacy, social and environmental stewardship and governmental regulations.

IN 202 : Engineering and Democracy: An Indian Imperative (3-0-0-4)

Facets of Engineering: What is the purpose of engineering?; multifaceted academic discourse on science, technology and engineering; engineering as a captive discourse of market forces; military-industrial complex; the history of the discipline of engineering in the West and India. Paradox of Democrace: What is the purpose of democracy?; requirements for a flourishing democracy; technocrats vs. democrats; the vulnerabilities of democracy. Portrait of a virtuous engineer: common grounds between Democracy and Engineering for technical progress and social justice; human use of engineering and democracy; the challenges of the Indian context. Intellectual independence: Reorganization of knowledge in Information Age; opportunity for newly independent countries like India; capturing the intellectual vibrancy of Indian freedom struggle; inspiration from the makers of modern India, orienting engineering for Social Minimum.

IN 301 : Evolution of Scientific and Other Knowledge Systems (3-0-0-2)

Overview of the evolution of science and technology in Mesopotamia; ancient Egypt; ancient Greece; ancient China; (B) Overview of the evolution of science and technology in India from Neolithic to Vedic and Harappan times; in pre-classical times; in the classical (or Siddhantic) age; in medieval times; Other Indian knowledge systems.

IN 302 : Technological progress and Human Values (3-0-0-4)

Progress and Entropy: Views of Norbert Wiener; (a). Technological Changes in Europe and in India between 1600 and 1874, (b) Reading of Hind Swaraj: Evaluation of values in Europe and in India; The origin and evolution of engineering education: The American influence after Morrill Act; Computer and Information Ethics: With emphasis on Virtue Ethics; Possibility of Technological Progress within Moral Boundaries: Role of Democracy.

IN 303 : Project Management and Contracts (3-0-0-4)

Cost estimating and bidding: material estimates, labor and equipment costs, cost control, purchasing, tender bidding; Project scheduling: bar charts, PERT, CPM, network diagrams; Project management: quality assurance, crisis management, claims management, safety; Construction machinery and methods; Construction accounting and budgeting; Construction law: building codes, local laws, approvals, environmental impact; arbitration; Construction blueprint and plan reading, environmental considerations; Client relations; Introduction to use of project management software.

Course Contents: Advanced themes that are an integral part of a modern Biological Engineering graduate program will be explored in detail. 2-3 themes from the representative list of topics is below will be covered in the course:

Nucleic acid in disease diagnosis: Detection of TB and Malaria by PCR, diagnosis of HIV by qPCR, monitoring flu evolution and hereditary genetic tests.

Antibiotic resistance: Prevalence and development of resistance in microbes. New approaches to identification and management of resistance.

Recombinant DNA technologies: Cloning vectors, mutagenesis methods, manipulation of gene expression in prokaryotes, introduction to eukaryotic gene expression systems.

DNA forensics: Sample collection, DNA extraction methods, DNA database searches, role of bioinformatics, low level and degraded DNA detection.

Waste water treatment and microbes: Aerobic and anaerobic oxidation, role of activated sludge, microbial ecology of a water treatment plant, genetically engineered microbes.

Biotechnology and clean energy: Renewable sources of energy, biofuel production by microbes, hydrogen producing biological systems and challenges.

Protein Engineering: Protein folding and recognition for protein design principles, Structure-Based Combinatorial Protein Engineering (SCOPE), proteomics.

Cancer Diagnostics: Diagnostics Imaging; X-rays, CAT-scan (computerized axial tomography), Magnetic Resonance Imaging (MRI), ultrasound. Tumor Markers Microarrays in Cancer Diagnostics, Mass Spectrometry in Cancer Diagnostics.

LS-602: Cancer Biology (3-0-0-4-6*)

The course contains four parts A) Cell-Autonomous Mechanisms (tumor suppressor and oncogene function, DNA repair pathways, apoptosis); B) Non Cell-Autonomous Mechanisms (tumor microenvironment, angiogenesis); C) Organ Systems (pancreatic cancer, hematopoetic malignancies); and D) Therapeutic Approaches (protein kinase inhibitors, immunotherapy, radiation therapy).

LS 603: Modern Biophysical Techniques (3-0-0-4-6)

Course Contents:
Molecular structure determination: Part A: X-ray crystallography, the single most important technique used in determining the 3-D structure of macromolecules: Structural elucidation of proteins, Nucleic acids (DNA). Crystallographic theory, exercises on crystallization, data processing and model building (Docking, related software). Part B: Biophysical techniques are covered that supplement the 3-D characterization of biological macromolecules: NMR (Amino Acids, Mononucleotides, Proteins and Nucleic Acids) and mass spectroscopy (Fragmentation studies: A tool for structural elucidation of proteins).

LS 604: Peptide synthesis and characterization: A practical approach (2-0-3-4-6)

Course Contents:
Lecture component: Fundamental Chemical and Structural principles of peptides, Biology of peptides, Peptide synthesis by Solid Phase and Liquid Phase methods, peptide conjugates, Combinatorial Peptide synthesis, methods of peptide purification and analysis.
Laboratory: Design of peptide, synthesis of a short peptide by solid phase Fmoc synthesis by regular and microwave based methods, purification and analysis of peptides, Conjugation and labeling of peptides

LS 101 : Operational Excellence (3-0-0-4)

Fundamentals of Biochemistry, Genetics, Molecular Biology, and Cell Biology; Structure and Regulation of Genes; Structure and Function of Proteins; How DNA, Proteins, and different units combine together to integrate into cells; How the cells integrate into multicellular systems and organisms; Concepts in population biology: principles of macro- and microevolution, population genetics, and population dynamics; Role of an engineer in Biology.

LS 301 : Molecular Genetics (3-0-0-2)

Structure of nucleic acids, Transcription, Translation, DNA replication, DNA repair and recombination; Gene expression in bacteria and eukaryotes, regulatory sequences, activators, repressors, regulation of transcription factors, elongation and termination of transcription; Post-transcriptional gene control, Processing of pre-mRNA and regulation, transport of mRNA and degradation.

LS 302 : Molecular Biotechnology (3-0-0-2)

Fundamentals of recombinant DNA technology, Cloning vectors, Genetic transformation of prokaryotes, PCR technologies, sequencing techniques; Prokaryotic gene expression systems, fusion proteins constructs, Fungus based expression systems, Insect cell expression systems, Mammalian cell expression systems; Directed mutagenesis and protein engineering; Synthesis of commercial products such as small biological molecules, antibiotics and biopolymers by recombinant microorganisms.

LS 401 : Methods in Biology (2-0-2-4)

Advanced themes that are an integral part of a modern Biological Engineering graduate program will be explored in detail, both in class via lectures and in the laboratory. 4 themes from the following representative list of topics will be covered in the course: Molecular biology including recombinant DNA technologies, PCR, cloning; Protein expression & purification in prokaryotic systems; Neurophysiology techniques; Microscopy Course has an integrated laboratory component.

LS 605 : Cellular signaling (3-0-0-2)

Importance of cellular communication illustrated using some classic pathways (GPCR, Ras-MAPK etc) as examples; How signal transduction cascades are affected by disease states (various cancers, cardiovascular problems etc); Drug discovery (in the context of signaling pathways) wherein knowledge of the players of a specific signaling pathway has helped design drugs ( Eg: Gleevac)

LS 606 : Neurophysiological Basis of Movement (3-0-0-2)

Muscle Physiology (structure of skeletal muscles, sliding filament theory of muscle contraction, simple muscle mechanics, force-length and force-velocity relationships)

Motor units and electromyography (fast and slow motor units, Henneman principle, functional roles of motor units, recording and processing of electromyographic signals)

Spinal control of movement (monosynaptic and polysnaptic reflexes)

Voluntary control of a single muscle (feedforward and feedback control, servo control, servo hypothesis, equilibrium point hypothesis)

Voluntary control of single joint movements (isotonic movements and isometric contractions, kinematic and EMG profiles of single joint movements, dual-strategy hypothesis)

Cortical and subcortical control (roles of cerebral cortex, basal ganglia and cerebellum in motor control, activity in these structures before and during movement assessed by means of single cell recordings, neuroanatomical tracing, neuroimaging methods)

Ascending and Descending Pathways (Dorsal column pathway, spinocervical, spintothalamic, spinocerebellar, spinoreticular, pyramidal, rubrospinal, vestibulospinal and reticulospinal tracts)

Control and coordination of multijoint movements (merging neurophysiology with control, force control hypothesis, generalized motor programs, internal models, equilibrium point control)

LS 606 : Cell motility and cytoskeleton (3-0-0-4)

1. Muscle Physiology (structure of skeletal muscles, sliding filament theory of muscle contraction, simple muscle mechanics, force-length and force-velocity relationships)
2. Motor units and electromyography (fast and slow motor units, Henneman principle, functional roles of motor units, recording and processing of electromyographic signals)
3. Spinal control of movement (monosynaptic and polysnaptic reflexes)
4. Voluntary control of a single muscle (feedforward and feedback control, servo control, servo hypothesis, equilibrium point hypothesis)
5. Voluntary control of single joint movements (isotonic movements and isometric contractions, kinematic and EMG profiles of single joint movements, dual-strategy hypothesis)
6. Cortical and subcortical control (roles of cerebral cortex, basal ganglia and cerebellum in motor control, activity in these structures before and during movement assessed by means of single cell recordings, neuroanatomical tracing, neuroimaging methods)
7. Ascending and Descending Pathways (Dorsal column pathway, spinocervical, spintothalamic, spinocerebellar, spinoreticular, pyramidal, rubrospinal, vestibulospinal and reticulospinal tracts)
8. Control and coordination of multijoint movements (merging neurophysiology with control, force control hypothesis, generalized motor programs, internal models, equilibrium point control)

MA 402 : Optimization Techniques (3–0–0–4)

Linear Programming: convex polyhedra and linear programming; simplex method, two-phase method; revised simplex method; Karmarker method; duality; Geometric Concepts: hyperplane, convex set, convex hull, Caratheodory theorem; separating and supporting hyperplane; cones and polars sets; Convex Optimization: convex functions and their variants; subgradients, tangent and normal cones, Fritz John and Karush-Kuhn-Tucker optimality conditions; Quadratic programming; Penalty and barrier function methods, nonconvex optimization.

MA 403 : Introduction to Real Analysis (3 – 0 – 0 – 6 – 4)

Functions, finite and Infinite sets; Real numbers as an ordered, complete, Archimedean field; Cantor set; Nested intervals theorem, Bolzano-Weierstrass theorem; Topology of Cartesian spaces, Heine-Borel theorem; Convergence of sequences and series of numbers, Bolzano-Weierstrass and Cauchy criterion; Continuous functions, global properties, uniform continuity; Sequence of functions, Weierstrass approximation theorem; Derivatives for real functions, extreme values, Rolle’s theorem, mean value theorem, Taylor’s theorem; Riemann integrals, fundamental theorem of calculus.

MA 301 : An Introduction to Fourier and Wavelet Analysis (3 – 0 – 0 – 6 – 4)

A Review of Linear Algebra: Linear transformations, matrices, and change of basis. Diagonalization of linear transformations and matrices. Inner products, orthonormal bases, and unitary matrices; The Discrete Fourier Transform: Basic properties of DFT. Translation-invariant linear transformations. The Fast Fourier Transform (FFT); Wavelets on ZN: Construction of wavelets on ZN: the first stage; Construction of wavelets on ZN, the iteration step. Examples; Wavelets on Z: The space l2(Z), complete orthonormal sets in Hilbert spaces. The space L2([-/pi, /pi)) and Fourier series; First stage wavelets on Z, the iteration step for wavelets on Z. Examples; Wavelets on R : L2(R) and approximate identities, the Fourier transform on R. The multiresolution analysis and wavelets, construction of multiresolution analysis. Wavelets with compact support.

MA-501: Basic Algebra (3-0-0-4)

Review of groups, subgroups, homomorphisms, finite and discrete groups of motions, group actions, class equation, Sylow theorems, groups of order 12, generators and relations, SL(R), SU(2), simplicity of alternating groups and PSL(2), Rings, ideals, quotient rings, Euclidean domains, principal ideal domains, unique factorization domains, primes in Z[i] and Fermat's 2-square theorem, ideal classes in imaginary quadratic fields, Modules, matrices, free modules and bases, diagonalization of integer matrices, generators and relations for modules, structure theorem for abelian groups, applications to Jordan canonical forms and linear operators, Extension fields, splitting fields, fundamental theorem of Galois Theory, constructibility by ruler and compass, finite fields.

MA-502: Complex Analysis (3-0-0-4)

Spherical representation of extended complex plane, Analytic Functions, Harmonic Conjugates, Elementary Functions, Cauchy Theorem and Integral Formula, Homotopic version, Power Series, Analytic Continuation and Taylor’s theorem, Zeros of Analytic functions, Hurwitz Theorem, Maximum Modulus Theorem and Open Mapping Theorem, Laurent’s Theorem, Classification of singularities, Residue theorem and applications, Evaluation of real integrals, Argument Principle, Theorems of Rouche and Gauss-Lucas, Winding numbers, Mobius Transformations, Schwarz-Christoffel Transformation, Fractals, Algorithms to generate Sierpinski Gasket.

MA-503: Functional Analysis (3-0-0-4)

Convergence and completeness, Uniform continuity and compactness, Baire category theorem and Ascoli-Arzela theorem, Banach's fixed point theorem and its applications, Finite dimensional normed spaces, Bounded linear maps on a normed linear spaces: Examples, linear map on finite dimensional spaces, operator norm, Heine-Borel theorem, Riesz lemma, Continuity of linear maps, Hahn-Banach theorems: Geometric and extension forms and their applications, Banach spaces, Dual spaces and transposes, Duals of classical spaces, weak and weak* convergence, BanachAlaoglu theorem, adjoint of an operator, Uniform-boundedness principle and its applications, Compact operators, eigen values, eigen vectors, Banach algebras, Spectrum of a bounded operator, Spectral theorem for compact self adjoint operators, Hilbert spaces, Orthonormal basis, Projection theorem and Riesz representation theorem.

MA-504: Introduction to Linear Algebra (3-0-0-4)

Fields and linear equations, Vector spaces, Linear transformations and projections, Determinants, Elementary canonical forms: diagonalization, triangulation, primary decomposition etc.

Secondary decomposition theorem, Rational canonical forms, Jordan canonical forms and some applications, Inner product spaces, Gram-Schmidt process, orthonormal bases, projections and least squares approximation, Eigenvalues and eigenvectors, characteristic polynomials, eigenvalues of special matrices (orthogonal, unitary, hermitian, symmetric, skew- symmetric, normal)., algebraic and geometric multiplicity, diagonalization by similarity ransformations, spectral theorem for real symmetric matrices, application to quadratic forms.

MA-505: Measure Theory (3-0-0-4)

Semi-algebra, Algebra, Monotone class, Sigma-algebra, Monotone class theorem. Measure spaces, Outline of extension of measures from algebras to the generated sigma-algebras,Measurable sets; Lebesgue Measure and its properties. Measurable functions and their properties; Integration and Convergence theorems. Introduction to Lp-spaces, Riesz-Fischer theorem; Riesz Representation theorem for L2 spaces. Absolute continuity of measures, Radon-Nikodym theorem. Dual of Lp-spaces, Product measure spaces, Fubini's theorem. Fundamental Theorem of Calculus for Lebesgue Integrals.

Calculus in Banach spaces, Inverse & implicit function theorem, Fixed point theorems of Brouwer, Schauder&Tychonoff; Fixed point theorems for nonexpansive& set-valued maps; Degree theory: TherBrouwer degree, The Leray-Schauder degree, Borsuk's theorem, Genus, Index and applications to differential equations; Bifurcation theory: The Lyapunov-Schmidt method, Morse's lemma, A perturbation method, Krasnoselskii's theorem, Rabinowitz theorem.

Variational methods: minimization of functionals, the Palais-Smale condition, the deformation lemma, multiplicity of critical points, Mountain pass theorem, Lyusternik-Schnirelmann theorem.

MA-507: Ordinary Differential Equation (3-0-0-4)

Vector fields, Graphical representation of solutions, Lipschitz functions, Integral inequalities, Uniqueness of solutions, Boundary value problems, Green’s functions, Distribution of zeros of solutions, Functional analytical preliminaries, Existence of solutions by Picard’s method, Existence by Perron’s method, Fixed point method, Uniqueness and continuous dependence, Continuity and differentiability with respect to initial conditions and parameters, Continuation of solutions, Linear equations, general theory, Solutions of linear equations with constant coefficients, Equations with periodic coefficients, Floquet theory, Classification of stationary points and phase portraits, Oscillation and boundedness of solutions, Lyapunov theory of stability, Poincare-Bendixson theorem and applications.

MA-508: Partial Differential Equation (3-0-0-4)

First order quasi-linear equations: method of characteristics, Monge cone, Nonlinear equations, Cauchy-Kowalewski’s theorem, Higher order equations and characteristics, Classification of second order equations, Riemann’s method and applications, Wave equation and D’ Alembert’s method, Method of decent and Duhamel’s principle, Solutions of equations in bounded domains and uniqueness of solutions.

Laplace equations: mean value property, maximum principle, Poisson's formula, BVPs for Laplace’s and Poisson’s equations, Green’s functions and properties, Existence theorem by Perron’s method, Heat equation, Uniqueness of solutions via energy method, Uniqueness of solutions of IVPs for heat conduction equation, Stability theory, Finite difference solutions of partial differential equations.

MA-509: Topics in Real Analysis (3-0-0-4)

Real number system and set theory : Completeness property, Archimedean property, Nested intervals theorem, Bolzano-Weierstrasstheorem.Denseness of rationals and irrationals, Countable and uncountable,Cardinality, Zorn’s lemma, Axiom of choice, Metric spaces: Open sets, Closed sets, Continuous functions, Completeness, Cantor intersection theorem, Baire category theorem, Compactness, Totally boundedness, Finite intersection property, Functions of several variables: Differentiation, inverse and implicit function theorems. Riemann-Stieltjes integral: Definition and existence of the integral, Properties of the integral, Differentiation and integration. Sequence and Series of functions: Uniform convergence, Uniform convergence and uniform continuity, Uniform convergence and integration, Uniform convergence and differentiation, Equicontinuity, Ascoli’s theorem, The Stone-Weierstrass theorem.

MA-510: Topology (3-0-0-4)

Topological Spaces: open sets, closed sets, neighborhoods, bases, sub bases, limit points, closures, interiors, continuous functions, homeomorphisms, nets and filters.Examples of topological spaces: subspace topology, product topology, metric topology, order topology, quotient topology.Connectedness and Compactness: Connected spaces, Connected subspaces of the real line, Components and local connectedness, Compact spaces, Heine-Borel Theorem, Local-compactness.
Separation Axioms: Hausdorff spaces, Regularity, Complete Regularity, Normality, Urysohn Lemma, Tychonoff embedding and UrysohnMetrization Theorem,
Tietze Extension Theorem, Tychnoff Theorem, One-point Compactification.
Complete metric spaces and function spaces, Characterization of compact metric spaces, equicontinuity, Ascoli-Arzela Theorem, Baire Category Theorem.
Applications: space filling curve, nowhere differentiable continuous function,
Stone-CechCompactification.

MA-603: Non-linear Analysis with Applications (3-0-0-4-6*)

Elements of Nonlinear Analysis: Review of linear analysis, Differentforms of continuity of nonlinear operators in Banach spaces, Concepts ofGateaux and Frechet differentiability, Subdifferential of convex functionsand duality mapping, Inverse and implicit function theorems.Theory of Monotone Operators and Fixed Point Theorems:Definition with examples of monotone operators, Surjectivitytheorems,Well-known fixed point theorems, Solvability of operator equations,Hammerstein operator equations and applications to boundary valueproblems and integral equations.Variational Analysis with Optimization and Control:Bilinearandsemilinear forms, Convex functionals and minimization, Controllability infinite and infinite dimensional spaces.

MA 511: Graph Theory and Its Applications (3-0-0-2-3)

Course Contents:
Graphs, Discovery of Graphs, Finite, Infinite and Isomorphic Graphs, Connected Graphs, Walk, Path, Cycles, Shortest path, Trees, Some Properties of Trees, Spanning Trees, Cut-sets and Cut-vertices, Max-Flow Min-Cut Theorem, Special Class of Graphs: Bipartite Graphs, Eulerian Graphs, Hamilton Graphs, Planer Graphs, Euler Formula for Connected Planer Graphs, Coloring of Graphs, Five Color Theorem for Planer Graphs.

MA 101 : Mathematics I (4-1-0-4)

Review of limits, continuity, differentiability; Mean value theorem, Taylor’s Theorem, Maxima and Minima; Riemann integrals, Fundamental theorem of Calculus, Improper integrals, applications to area, volume; Convergence of sequences and series, Newton’s method, Picard’s method; Multi-variable functions, Partial Derivatives, gradient and directional derivatives, chain rule, maxima and minima, Lagrange multipliers; Double and Triple integration, Jacobians and change of variables formula; Parametrization of curves and surfaces, vector fields, Line and surface integrals; Divergence and curl, Theorems of Green, Gauss, and Stokes.

MA 102 : Mathematics II (3-1-0-4)

Linear Algebra: Vectors in Rn; Vector subspaces of Rn; Basis of vector subspace; Systems of Linear equations; Matrices and Gauss elimination; Determinants and rank of a matrix; Abstract vector spaces, Linear transformations, Matrix of a linear transformation, Change of basis and similarity, Rank-nullity theorem; Inner product spaces, Gram-Schmidt process, Orthonormal bases; Projections and least-squares approximation; Eigenvalues and eigenvectors, Characteristic polynomials, Eigenvalues of special matrices; Multiplicity, Diagonalization, Spectral theorem, Quadratic forms. Differential Equations: Exact equations, Integrating factors and Bernoulli's equation; Orthogonal trajectories; Lipschitz condition, Picard’s theorem; Wronskians; Dimensionality of space of solutions, Abel-Liouville formula; Linear ODE’s with constant coefficients; Cauchy-Euler equations; Method of undetermined coefficients; Method of variation of parameters; Laplace transforms, Shifting theorems, Convolution theorem.

MA 201 : Mathematics III (3-1-0-4)

Complex Analysis: Definition and properties of analytics functions; Cauchy-Riemann equations, Harmonic functions; Power series and their properties; Elementary functions; Cauchy’s theorem and its applications; Taylor series and Laurent expansions; Residues and the Cauchy residue formula; Evaluation of improper integrals; Conformal mappings. Differential Equations: Review of power series and series solutions of ODE’s; Legendre’s equation and Legendre polynomials; Regular and irregular singular points, method of Frobenius; Bessel’s equation and Bessel’s functions; Sturm-Liouville problems; Fourier series; D’Alembert solution to the Wave equation; Classification of linear second order PDE in two variables; Vibration of a circular membrane; Fourier Integrals, Heat equation in the half space.

MA 202 : Mathematics IV (3-2-0-4)

Probability and Statistics
Random Experiments; Events; Probability; Random variables; Probability Distributions: Discrete and Continuous Distributions, Mean and Variance of Distributions, Distributions of Several Random variables; Random sampling; Estimation of parameters; Confidence Intervals; Testing of Hypotheses; Goodness of fit - test; Quality control and Acceptance Sampling; Confidence intervals for regression parameters.

Numerical Methods
Interpolation: Divided differences, Lagrange and Hermite Interpolation; Weierstrass and Taylor’s theorem (statements); Numerical Quadrature (Trapezoidal Simpson’s and Gauss); Numerical Linear Algebra: Matrix norms, Condition number, Direct and Iterative Methods for Linear Systems, LU and QR Decompositions, Eigenvalue Problems, Inclusion of Matrix Eigenvalues, Eigenvalues by Iteration (Power Method); Numerical Solutions to ODE: Euler’s, Multistep, Runge-Kutta methods, BVP- Finite Difference Method, Introduction to Finite Element Method; Numerical solutions to PDE: Elliptic PDE.

MA 404 : Introduction to Functional Analysis (3-0-0-4)

Metric spaces: Convergence and completeness, Uniform continuity and compactness, Baire category theorem and Ascoli-Arzela theorem, Banach's fixed point theorem and its applications; Normed linear spaces: Finite dimensional normed spaces, Heine-Borel theorem, Riesz lemma; Continuity of linear maps, Hahn-Banach extension theorem; Banach spaces, Dual spaces and transposes; Uniform-boundedness principle and its applications; Spectrum of a bounded operator; Inner product spaces: Hilbert spaces, orthonormal basis, projection theorem and Riesz representation theorem.

MA 405 : Topics in Analysis (3-0-0-4)

Topics in Complex Analysis: Complex plane and stereographic projection, Generalized form of Cauchy's integral theorem, Weierstrass theorems for sequences and series; Morera's theorem and fundamental theorem of Algebra, Existence of harmonic conjugate, Zeros of analytic functions; Conformal mappings and Möbius transformation; Maximum modulus theorem, Maximum Principle, Schwarz's lemma; Liouville's theorem, Riemann mapping theorem, Picard's theorem and Casorati-Weierstrass theorem. Inversion of Laplace transforms.

Integral Equations: Classification, Degenerate Kernels, Neumann and Fredholm series; Schmidt-Hilbert theory. Calculus of Variations: Euler-Lagrange equation, Generalizations of the basic problem.

MA 512 : Algebraic Topology (3-0-0-4)

Quotient topology, Identification spaces; The fundamental group: Homotopy of maps, multiplication of paths, the fundamental group, induced homomorphisms, the fundamental group of the circle, covering spaces, lifting theorems, the universal covering space, Seifert-Van Kampen theorem, applications; Simplicial Complexes, Simplicial and Singular homology - Definitions, Properties and Applications.

MA 513 : Numerical Analysis (3-0-0-4)

Module 1, Interpolation:
Interpolation Formulas of Lagrange and Newton, Error in Polynomial Interpolation, Hermite Interpolation, Interpolation by Spline Functions, Cubic Spline and B-Splines.

Module 2, System of Linear Equations:
Gaussian Elimination, Gauss-Jordan Algorithm, The Cholesky Decomposition, Q-R Decomposition, Least Square Approximations, Iterative Methods and Convergence Theorems.

Module 3, Nonlinear Equations in R^n:
Derivatives and Other Basic Concepts, Convex Functionals, Contractions, Inverse and Implicit Function Theorems, Newton’s Methods and Its Variations and Minimization Methods.

Module 4, Differential Equations and Boundary Value Problems:
One Step Methods with Convergence, Multi Step Methods with Convergence, Simple and Multiple Shooting Methods, Difference Method and Variational Method.

Laboratory Component
Each Module 1-4 consists of a mini project component involving numerical computation and analysis of a concrete problem. One of the mathematical softwares - MATHEMATICA, MATLAB, MAPLE - to be used for project investigation.

MA 514 : Advanced Probability Theory (3-0-0-4)

Probability spaces, random variables, expectations; Independence, conditional expectations and conditional probabilities; Convergence of random variables, Laws of Large Numbers, Central Limit Theorem, Large Deviations; Martingales and Markov chains in discrete time; Convergence of probability measures, Prohorov’s theorem, Wiener measure.

MA 515 : Stochastic Differential Equations (3-1-0-4)

Overview of measure-theoretic probability; Stochastic processes, filtrations, stopping times, martingales; Brownian motion, construction and properties, Kolmogorov's extension and continuity theorems; Stochastic integrals, construction and properties, Ito versus Stratonovich, Ito’s formula, Levy's characterisation of Brownian motion, Girsanov’s theorem; Stochastic differential equations, existence and uniqueness of solutions, strong and weak solutions, Markov property, infinitesimal generator, probabilistic representation of solutions to certain linear partial differential equations; the filtering problem, Kalman-Bucy filter.

MA 516 : Number Theory (3-1-0-4)

Divisibility, Bezout's Identity, Linear Diophantine Equations, Prime Numbers, Congruences, Congruences with a Prime-power Modulus, Chinese Remainder Theorem, The Groups of Units Un, Quadratic Reciprocity, Finite Fields. Arithmetical functions and Dirichlet multiplication, big oh notation, Euler's summation formula, average order of some arithmetical functions, summation by parts, Chebyshev's functions, the Prime Number Theorem, Dirichlet characters, Gauss sums, Dirichlet's theorem on primes in arithmetic progressions, Introduction to the theory of the Riemann zeta function, zero-free regions for zeta(s).

MA 601 : Mathematical Methods in Engineering (3-0-0-4)

Review of Linear Algebra: Vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization; Inner product spaces, Gram-Schmidt orthonormalization, spectral theorem for real symmetric matrices. Systems of ODEs: Homogeneous and nonhomogeneous linear systems; Eigenvalue method. Nonlinear systems: qualitative approach; linearization. Series solutions of differential equations: Frobenius method, equations of Legendre and Bessel. Sturm-Liouville problems: orthogonality of eigenfunctions and eigenfunction expansions. Fourier series, Fourier integrals and Fourier transforms: basic results. Partial Differential Equations: Classification of linear second order PDEs in two variables; Modeling: vibrating string, heat conduction; solutions using Fourier series, Fourier integrals and Fourier transforms.

MA 602 : Advanced Numerical Methods in Engineering (3-0-2-4)

Interpolation and Approximation of functions. Eigensystems. Similiarity Transformations, Diagonalisation. Schur Decomposition QR algorithm. SVD. Linear Systems . Krylov Sequence Methods. Krylov Subspaces. Arnoldi Decompositions. Optimization Methods in multi-dimensions. Conjugate Gradient Method and Preconditioned variants as iterative schemes for sparse linear systems. Nonlinear Equations. in numerical handling of ordinary and partial differential equations. Numerical Software Libraries such as PETSc etc and Programming Software Environment.Computational Lab projects on all serial and parallel computer architectures.

MA 605 : Commutative Algebra (3-0-0-4)

Rings and Ring Homomorphism, Nil radical and Jacobson radical, Modules, Direct Sum and product, Tensor product, Exact sequence, Rings and Modules of fractions, Noetherian and Artinian Rings, Primary Decomposition, Integral extension, Krull dimension of ring, Noether Normalization lemma, Hilbert's Nullstellensatz, Completions, Graded Rings, Artin-Rees lemma, Associated graded rings.

MA 606 : Introduction to de Rham Cohomology (3-0-0-4)

A quick review of analysis of several variables, The Alternating Algebra: Multilinear maps, Alternating multilinear maps, Exterior product. Differential forms: Exterior derivative, Pull-back of forms. de Rham cohomology: Poincaré lemma, Chain complexes and their cohomology, Long exact sequences, Homotopy, Application of de Rham cohomology, Smooth manifolds, Differential forms on smooth manifolds, Integration on manifolds.

MA 621 : Functional Analysis and Partial Differential Equations (3-0-0-4)

The Hahn-Banach theorems in extensi n and separation form , conjugate convex functions; The niform boundedness principle and the closed graph theorem; Weak Topologies, Reflexive Spaces, Separable Spaces, Uniform Convexity; L^{p} Spaces; Hilbert Spaces, Basic variational principles; Compact operators; Distributions, Sobolev Spaces; Variational for ulation of elliptic boundary value problems; Weak solutio s of elliptic boundary value problems.

ME 446 : Simulation-driven Engineering (Mechanics and Controls) (3 – 0 – 0 – 4)

Basic concepts in rigid body dynamics and vibrations; Introduction to linear feedback control; Modeling of multi-body systems with joints, constraints, actuators and controllers; Numerical methods and challenges in computational dynamics; Case studies of simulation-driven engineering based on mechanics, dynamics and controls; Course projects derived from industry and research.

ME 452 : Introduction to Turbulence (3 – 0 – 0 – 6 – 4)

Classical experiments/observations, scales and energy cascade, closure problem; Navier-Stokes equations; Vorticity dynamics; Basic concepts of non-linearity and chaos; Freely evolving turbulence; Kolmogorov’s theory; Reynolds averaging and closure problem; Eddy viscosity hypothesis; Turbulence modeling; Wall bounded shear flows; Free shear flows; Homogeneous shear flow; Large eddy simulations; Vortex stretching and eddy dynamics; Turbulent diffusion.

ME 448 : Design, Modelling Simulation of Production Systems (2 – 0 – 2 – 3)

Concepts of discrete event modeling and simulation
Discrete event modeling and programming (ARENA)
Principles of statistical analysis
Projects (case studies taken from industrial research projects)

ME 331 : Manufacturing Processes and Systems (3 – 1 – 0 – 8 – 4)

Fundamentals of Machine Tools: General-purpose, semi-automatic and Automatic machine tools, Set-ups and operations such as lathe, drilling, milling, grinding, broaching; Machining processes for production: Gear cutting (Hobbing and Shaping), Thread cutting; Finishing operations: honing, lapping, electroplating, painting etc. Metal forming machines and processes. Introduction to Jigs and Fixture Design. Principles of location and clamping. Basics of Computer Numerical Control Technology. Computer Integrated Manufacturing Engineering (CIME). Non-conventional Machining Processes: Electric discharge Machining (EDM), Electrochemical Machining, Laser and Abrasive Flow Machining, etc.Dimensional Metrology: Limits, Fits and dimensional tolerancing; Design of limit gauges, Taylor’s principle, Gage tolerancing; Geometrical tolerancing of form, orientation, position, location, run-out; Basic definitions and measurement principles, MMC/RFS conditions. Comparators and Metrological Instruments: Principles of optical, pneumatic, electric/electronic instruments; Inspection of gears and screw threads; Surface finish and its measurement, Coordinate Dimensional metrology. Non-contact vision based inspection systems. Introduction to assembly engineering.

ME 351 : Mechanical Engineering Laboratory I ( 0 – 0 – 4 – 4 – 2)

Structured and Open-ended experiments in Solid Mechanics, Fluid Mechanics, Heat Transfer, Energy Systems, Dynamics and Vibrations, Selected Mechanisms, Control Systems, Automation, Manufacturing Processes and Metrology.

ME 332 : Industrial Engineering and Operations Research (3 – 1 – 0 – 4)

Introduction to Industrial Engineering, Work-time study and productivity; Capacity planning; Location and layout models for factories and warehouses; Manufacturing planning concepts based on forecasting, push and pull models of planning, and aggregate planning; Basic inventory models; Introduction to concepts of operations research and optimization; Linear Programming: problem formulation, simplex method, concept of primal-dual, duality and sensitivity analysis, Interior point methods Network flow model & methods including transportation and assignment models, min-cost flow, shortest path problem; Integer programming models, branch and bound method; Introduction to applied probability models for decision making; Random variables and their distributions; Independence and conditional probabilities/expectations; Expectations, variances and probabilistic notions of performance.

ME 352 : Mechanical Engineering Laboratory II (0 – 0 – 4 – 2)

Structured and Open-ended experiments in Solid Mechanics, Fluid Mechanics, Heat Transfer, Energy Systems, Dynamics and Vibrations, Selected Mechanisms, Control Systems, Automation, Manufacturing Processes and Metrology.

ME 391 : Integrated Design and Manufacturing I (0 – 1 – 4 – 2)

Introduction: design for strength and stiffness, economy, stresses, operation, maintenance, manufacture and assembly, transport, materials. Properties of materials, static, dynamic and impact strengths; factor of safety; permissible stresses;Material Selection: standards and selection. Joining techniques and properties; welding and bonding, screw and bolted connections. Introduction to tribology; Bearings and friction: Bush and rolling element bearings, Design selection; heat generation; properties of lubricants and selection; wear and associated failures. Shafts, axles and design of bearing mountings – stress concentration and thermal expansion. Design for fatigue. Introduction to manufacturing drawing including geometric and positional tolerance. Process planning. Rapid Prototyping.

Design of mechanical components, sub-systems focusing on a project integrating design and manufacturing in a complete year-long Group Design Projects in Design-Test-Build mode.Intellectial Property Rights and Patenting.

ME 491 : Integrated Design and Manufacturing II (0 – 1 – 4 – 2)

Introduction: design for strength and stiffness, economy, stresses, operation, maintenance, manufacture and assembly, transport, materials. Properties of materials, static, dynamic and impact strengths; factor of safety; permissible stresses;Material Selection: standards and selection. Joining techniques and properties; welding and bonding, screw and bolted connections. Introduction to tribology; Bearings and friction: Bush and rolling element bearings, Design selection; heat generation; properties of lubricants and selection; wear and associated failures. Shafts, axles and design of bearing mountings – stress concentration and thermal expansion. Design for fatigue. Introduction to manufacturing drawing including geometric and positional tolerance. Process planning. Rapid Prototyping.

Design of mechanical components, sub-systems focusing on a project integrating design and manufacturing in a complete year-long Group Design Projects in Design-Test-Build mode.Intellectial Property Rights and Patenting.

Introduction to C.I.M, Basic Elements of C.I.M; Fields of Application C.N.C. technology; P,L & C systems; Functional Blocks of CNC systems; Adaptive Control; CNC programming. Group technology-Product & Process layouts; Comparison. Line balancing; Coding systems. Opitz system-othersystems; Flexible manufacturing Systems; Major elements of F.M.S. Material handling Systems-A.S.R.S; Carousels, Robots, A.G.Vs, Flexible Conveyors Integrated Material Handling Systems; Shop Floor Control - Manufacturing Control. Methodology; Data Collection Systems; Computer-Aided Process Planning – Variant Process Planning & Generative Process Planning; Product data management- Product Life Cycle Management (PLM) Quality Control & Assurance; Concurrent Engineering – Fundamentals; Integrating Design with other functions; Product development; Communication. Basic strategies - Just-In-Time, Lean, Agile manufacturing systems.

Governing equations of fluid mechanics; Equation of continuity, Momentum balance, stress and strain tensor, constitutive equations, Flow Equations in Moving Reference Frames. Lagrangian and Eulerian Formulations. steady and unsteady flows; vorticty vector and rotation tensor, vorticity equation, two-dimensional flows: stream function. creeping flow, Inviscid flow Introduction to stability, Kelvin-Helmholtz instability, Squire's theorem, Orr-Sommerfeld equation, stability characteristics of simple flows, transition, Turbulent Spots. Hairpin Vortices.

Turbulent Flows. Classical experiments/observations, Kolgomorov’s scale. closure problem, correlations and spectra. RANS, Reynolds stress. Wall bounded and free shear flows. vorticity in turbulent flows, jet flows. kinetic energy budget, turbulent kinetic energy production and cascading, Eddy viscosity, mixing length, turbulent dispersion. Some insight into current activities for turbulence modeling.

ME 630 : Heat Exchange Equipment: Design and Performance Evaluation (3 – 0 – 0 – 6 – 4)

Introduction, Classification and types of heat exchange equipment, Methodology for design and Performance evaluation of heat exchange equipment: Mean temperature difference and number of transfer approaches, Inverse design methodology, Plain and finned double-pipe heat exchangers, Shell-and-tribe heat exchangers: Liquid liquor, liquid-gas, vapor generators, condenses, finned and plain tube, Storage stationary and moving matrix type heat exchangers, Compact heat exchanger, Fuel fired and other type of radiative furnaces.

ME 311 : Fluid Mechanics and Heat Transfer (3 – 1 – 0 – 8 – 4)

Momentum boundary layers; Boundary Layer Solutions, Notion of Flow Separation. Momentum integral equation. Displacement and Momentum Thickness. Laminar and Turbulent Boundary Layers. Power Laws. Skin friction coefficient and drag estimation. Skin friction lines on surfaces.

Prandtl and Nusselt number correlations; Derivation of differential and integral energy equation. Thermal boundary layer; Analogy between heat and momentum transfer. ; Heat transfer in pipe flows; Thermal entry length; Correlations for some common configurations; Free convection from plate: Governing equations and non-dimensionalization. Similarity and integral solutions for vertical plate; Free convection for other cases; Mixed convection. Heat Exchangers. Applications and classification of heat exchangers; Design analysis using LMTD method; Performance analysis using - NTU method. Introduction to boiling and condensation;

Radiative Heat Transfer, Black body radiation. Planck, Wien and Stefan-Boltzmann laws. Irradiation; Heat exchange between two surfaces. Shape factor: Definition, common configurations; Applications in Solar Energy Systems

Compressible Flow. Wave propagation speed in ideal gas. Stagnation pressure and temperature. Isentropic Flow. Normal Shocks and Rankine-Hugoniot conditions. Compressible frictionless flow in a convergent-divergent nozzle. Flows in pipes with heat transfer and with friction. Oblique shock waves. Prandtl-Meyer Expansion. Notions of Compressible Boundary Layers

Finite Volume Methods for Computing Incompressible Flow:
Pressure–Correction Methods such as SIMPLE and its variants and PISO. Artificial Compressibility Methods. Computational Exercises using Matlab/Python/Julia and open source CFD codes such as OpenFOAMand implementing these methods for assigned computational flow problems to gain a full understanding of the technique while appreciating its limitations etc.

Finite Volume Methods for Computing Compressible Flow:
JST Scheme. High Resolution Shock Capturing Schemes. Riemann Solvers. Approximate Riemann Solvers. Flux-Limiters. TVD Schemes etc. Computational Exercises using Matlab/Python/Julia and open source CFD codes such as OpenFOAM and SU2 (Stanford University Unstructured) and implementing these methods for assigned computational flow problems to gain a full understanding of the technique while appreciating its limitations etc.

Large Eddy Simulation for Modeling Turbulent Flows

ME-633: Advanced Fuel Cell System (3-0-0-4)

Introduction to fuel cells; fuel cell types, characterization, Fuel cell thermodynamics: thermodynamics review, Heat and Work potential of a fuel, Gibbs Free Energy, Predicting OCV, Nernst Equation, Fuel Cell reaction kinetics, Fuel cell charge transport, Fuel cell mass transport, Fuel cell modeling, Fuel cell materials and characterization, Fuel cell experiments: the VI-Curve, and the Tafel Plot, Overview of fuel cell systems, Introduction to fuel processing, Thermal management sub-system design, Fuel cell system design

ME-321: Mechanics of Deformable Bodies (3-1-0-4-8*)

Stress at a point, equilibrium equations, 3-D state of stress, principal stresses and maximum shear stress, stress invariants; Strain at a point, strain-displacement relations in Cartesian coordinates, compatibility equations; stress-strain relations; Yield criteria: von Mises (maximum distortion energy) and Tresca (maximum shear stress); Stresses beyond yielding (for elastic perfectly plastic materials) in axial members, bending and torsion. Un-symmetrical bending, shear flow and shear center; Symmetric bending of curved bars; Torsion of non-circular shafts; Formulation of elasticity problem, boundary conditions, plane stress and plane strain problems; 2-D problems in polar cylindrical coordinates, equilibrium equations and strain-displacement relations, thick cylinders, composite tubes, rotating discs; Airy’s stress function, solution by polynomials, end effects – St. venant principle; Stress distribution around a circular hole, stress concentration; Fracture mechanics concepts; Fatigue failure.

ME-634: Introduction to Perturbation Problems in Fluid Mechanics (3-0-0-4-6*)

Basic motivation for asymptotic expansions
A boundary layer problem example corresponding to a simple linear differential equation
Properties of asymptotic expansions
Some regular perturbation problems in fluid mechanics;
Laminar boundary layer approached by Matched Asymptotic Expansions (flat plate, pressure gradient, thermal aspects) Low Reynolds number perturbation problem (Stokes flow)
The asymptotic flat plate turbulent boundary layer (Mixing-length model for Wall layer andk-foe defect layer)

ME 322 : Synthesis and Analysis of Mechanisms (2-1-2-4)

Introduction to Mechanisms. Classification of Links and Joints. Kinematic Drawing of Mechanisms. Mobility. Grashof condition for Fourbar linkages. Kinematic (Position, Velocity and Acceleration) Analysis and Synthesis of Mechanical Linkages. Cam Follower Mechanisms. CAM Design. Gears and Gear Trains. Belts, Chains and Sprockets. Static and Dynamic Analysis of Mechanisms.

Lab Work: A few structured experiments on four bar linkages, QR mechanism, CAMs and Gears (plus new experiments) and computer modelling in support of the theory and perform group mechanism design projects targeted at Mechanism Design Contests.

ME 403 : Automobile Body Design and Engineering (3-1-1-4)

Review of Mechanics of Solids; Thin Wall Beam Section Design in Automobiles; Auto Body Panels; Plates and Shells; Auto Body Bending, principles of joint design; Auto Body Torsion, weld structural performance; Auto Body Crashworthiness, front barrier analysis and design, side impact analysis and design; Vibration, source-path-receiver model, mode map development, modal analysis; Vehicle Integration and Topology, vehicle styling and layout, mass analysis, structure topology; Auto Body Material Selection; Auto Body Platform Engineering, economics of body manufacture; Miscellaneous topics related to the course such as use of Math and CAE tools.

Lab Work: 1 hour Lab for 10 weeks where students explore structured experiments using MatLab and computer modelling in support of the theory and perform group vehicle design projects.

ME 404 : Vehicle Dynamics and Chassis Systems (3-1-1-4)

Review of linear vibration theory with applications to automotive systems; Role of Vehicle Dynamics and Chassis Systems in passenger cars; Equations of motion for steady state and transient vibration conditions; Vibration models of a typical passenger car; Load distribution, stability on a curved track slope and a banked road, calculation of tractive effort and reactions for different drives; Fundamentals of suspension tires and vehicle handling; Identification of vehicle parameters related to vehicle dynamics and chassis systems; vehicle performance under braking and drive-off or accelerating conditions; Braking performance; Fundamentals of ride and handling; Fundamentals of cornering; Fundamentals of steering systems and rollover fundamentals. Miscellaneous topics related to the course such as CarSim CAE tool.

ME 405 : Space Flight Vehicles Guidance, Navigation and Control (3-1-0-4)

Satellite Orbits and Ground Coverage: Orbital dynamics; Orbit perturbations: Orbital manoeuvres; Earth coverage with remote sensing low-earth and high-earth orbit satellites; imaging from space; space-based radars; lunar and interplanetary flights: Chandrayan and Mars mission

Spacecraft Attitude Dynamics and Control: Three-axis Spacecraft attitude dynamics; quaternions; multi-body spacecraft with articulated antennas, and solar arrays; reaction wheels, thrusters, magnets, control moment gyros; three-axis large angle manoeuvres; attitude determination techniques and sensors; Flexible spacecraft dynamics and control; spin-stabilized spacecraft control; dual-spin stabilization; bias momentum spacecraft dynamics and control using two momentum wheels, magnets, and thrusters; Reaction jet attitude control and nonlinear controllers; control of spacecraft with liquid propellants: sloshing and structure control interaction

ME 406 : Spacecraft Attitude Determination and Control (3-0-0-4)

Frames and coordinate transformations; kinematics of attitude parametrization; attitude dynamics; sensors: star trackers, sun sensors, horizon sensors, magnetometers, GPS receivers, gyroscopes, orbital gyro-compassing; static attitude determination methods: the triad algorithm; Wahba’s problem; quaternion solution; matrix solution; error analysis; maximum likelihood estimation for attitude determination; examples of attitude determination and control of ISRO and US satellites; yaw sensing for inclination control; gps attitude determination; attitude representations for Kalman filtering: three-component representation; additive and multiplicative quaternion representations; attitude estimation: Kalman filter formulation; gyro calibration; Kalman smoother, filtering and the quest measurement model; mission mode Kalman filter; steady-state solution; gyro and magnetometer calibration; extended Kalman filter approach; illustrations of spacecraft attitude determination and control results

ME 606 : Combustion (3-0-0-4)

Introduction to combustion, importance, applications, engineering issues; Laws of thermodynamics, chemical equilibrium, adiabatic flame temperature; Fundamentals of mass transfer, species conservation equation, Stefan problem, droplet vaporization; Gas kinetic theory, elementary and global reactions, reaction mechanisms, reaction rates, steady-state and partial equilibrium approximations; Hydrogen oxidation; Carbon monoxide oxidation; Hydrocarbon oxidation; Basic chemical reactors, constant pressure and constant volume reactors, well-stirred reactor, plug-flow reactor; Mass, momentum, and energy conservation equations; Laminar premixed flames, flame speed, flame thickness, flame speed measurement, ignition, quenching, flammability, flame stabilization; Laminar non-premixed flames, jet flames, counterflow diffusion flames; Droplet vaporization and combustion; Solid particle combustion

ME 607 : Advanced Convective Heat Transfer (3-0-0-2)

Conservation of mass, momentum and balance of energy in differential and integral forms; Forced convection external flows, boundary layer equations: differential and integral techniques; high speed flows; internal flows; developing and fully developed flows; natural convection, boiling and condensation

ME 635 : Compressible Flow (3-0-0-4)

Review of the governing equations of compressible flow and Thermodynamic concepts. Forms of energy equation for compressible flow. Wave propagation speed in ideal gases. Isentropic flow. Stagnation Flow Properties. Critical Flow Properties. Compressible frictionless flow in a shock tube and variable area ducts based on one-dimensional Euler Equations. Normal Shocks and Rankine-Hugoniot conditions. Oblique shock waves. Expansion Waves. Prandtl-Meyer Function. Shock-Expansion Theory for external compressible flow past bodies. Conical Flows. Internal compressible flow in constant area and variable area ducts with heat transfer and with friction leading to notions of Rayleigh and Fanno Flows. Combustion Waves. Condensation Shocks. Compressible Potential Flow Theory. Vorticity considerations. Notions of compressible velocity potential. Development of low-order compressible flow models for high speed flows based on linearized small-disturbance potential flow theory for subsonic, transonic and supersonic flows. Similarity Rules. Brief insight into hypersonic flow and rarified gas dynamics concepts. Disturbance behavior in unsteady compressible flow. Notions of Compressible Boundary Layers. Crocco’s Theorem. Shock wave boundary layer interaction. High temperature flows. Aerodynamic Heating.

ME 637 : GNSS-aided inertial navigation (3-1-1-4)

Review of Inertial Navigation and GNSS (Global Navigation Satellite Systems), Global Positioning System (GPS) measurements and error sources, Code phase and pseudorange measurements; carrier phase measurements, Ionospheric and tropospheric delay models; receiver clock error model, User range error, Combining code and carrier measurements – carrier-aided smoothing, Error mitigation: Differential GPS, local-area DGPS and relative positioning; wide-area DGPS, Position, velocity and time estimation, Position estimation with pseudoranges – linearized models, satellite geometry, Velocity from pseudorange rates, Time transfer, Precise positioning with carrier phase, Integer ambiguity resolution, Using code measurements, dual- and three-frequency measurements, LAMBDA method, Precise point positioning, GPS-aided INS for flight vehicles navigation, Code and carrier differencing, Integration of difference observables with IMU, GPS-Aided INS for precise aircraft landing, Tightly coupled GPS/INS integration for missile applications

ME 637 : GNSS-aided inertial navigation (3-1-1-4)

Review of Inertial Navigation and GNSS (Global Navigation Satellite Systems), Global Positioning System (GPS) measurements and error sources, Code phase and pseudorange measurements; carrier phase measurements, Ionospheric and tropospheric delay models; receiver clock error model, User range error, Combining code and carrier measurements – carrier-aided smoothing, Error mitigation: Differential GPS, local-area DGPS and relative positioning; wide-area DGPS, Position, velocity and time estimation, Position estimation with pseudoranges – linearized models, satellite geometry, Velocity from pseudorange rates, Time transfer, Precise positioning with carrier phase, Integer ambiguity resolution, Using code measurements, dual- and three-frequency measurements, LAMBDA method, Precise point positioning, GPS-aided INS for flight vehicles navigation, Code and carrier differencing, Integration of difference observables with IMU, GPS-Aided INS for precise aircraft landing, Tightly coupled GPS/INS integration for missile applications

ME 742 : Automation and Control (3-0-0-)

Automation: Types of automation, Degree of automation, Technical, economic and human factors in automation, Technologies like Mechanical, Electrical, Hydraulic, etc., Comparative evaluation, Development of automation systems using mechanical devices, pneumatic systems, hydraulic systems, electrical systems and hybrids. Synthesis and analysis, Optimization techniques, Illustrative examples of the above types of systems used for automation of machine tools, Material Handling devices, products etc. Industrial logic control systems, Logic diagramming, Design of servo systems, Design for automation, Cost-benefit analysis. Control: Open loop and closed loop control, Mathematical model of physical systems, Laplace transformation, Transfer functions, Types of controllers, Stability analysis in feedback controls, Transient response analysis of systems, Frequency response methods, Improving system performance, Discrete-time systems and Z-Transform method. Introduction to non-linear control systems, Approach to optimal and adaptive control systems, Micro-processor based digital control, State space analysis.

ME 601 : Principles of Dynamics (3-0-0-4)

Fundamentals of analytical dynamics for particles, systems of particles, and rigid bodies, Lagrange's equations, Euler angles & Euler’s equations, Holonomic and non-holonomic constraints, Elements of linear systems theory, Single degree of freedom systems, Multi-degree of freedom systems, Distributed parameter systems (continuous systems).

ME 605 : Computational Fluid Dynamics (2-0-2-4)

Introduction to Computational Fluid Dynamics; Basic Concepts of Finite difference and Finite volume Spatial Discretization; Temporal Discretization; Explicit and Implicit Schemes; Treatment of Convection and Diffusion terms; Artificial Dissipation; Numerical Solution of Model Flow Equations for Parabolic; Elliptic and Hyperbolic Systems; Stability of Numerical Schemes; Complex Geometries and Mesh Generation Techniques; Finite Volume Multi- dimensional Flow Calculation Techniques; Turbulence Models. Invited Industrial Application Seminar; Computational Fluid Dynamics Laboratory Experiments; Homework and Individual Project using user-written; open-source and commercial flow softwares.

ME 622 : Linear Systems Theory (3-0-0-4)

Fields and vector spaces, Basis and coordinate transformations, State-space formulation, Realizations, Stability, Observability, Controllability, Model Reduction, State estimation, Pole placement.

ME 623 : Data Analysis and System Identification (2-0-2-4)

Topics: Background of probability theory, sensor curves, time-series model identification, ERA identification, subspa e identification, nonlinear extensions of identification methods, Kalman filters and other estimators, nonlinear extensions of Kalman filters, consistency and unbiasedness, estimation errors and confidence intervals.

ME 624 : Advanced Feedback Control (3-0-0-4)

Review of control design concepts for single input single output systems, Extension to multi- input multi-output systems, Design formulations using state-space and frequency domain, Pole placement, Linear Quadratic Control, Design and performance challenges for multi- variable systems, Robust control, Internal Model Control, Stability analysis using Lyapunov; Design of stabilizing controllers using linearization, Feedback linearization, Small gain theorem.

ME 626 : Industrial Hydraulics & Pneumatics (3-0-0-4)

Introduction to Hydraulics &Pneumatics Comparison; Fields of Application; Review of basic fluid mechanics; Pneumatics:-Basic properties of compressed air; Generation &distribution of compressed air; Receiver. Conditioning of air- F.R.L unit; Actuators-Rotary & reciprocating; Types & classification; Rating; Selection based on Application; Valves- Pressure, Flow & Direction control valves Symbols Selection of valves; Piping; Synthesis of simple circuits; Illustrative examples of Application circuits; Design & Analysis; Truth table & Boolean Algebra; Hydraulics: - Pumps-types of positive-displacement pumps; Relief valve; Power-pack; Pressure, Flow & Direction control valves; Temp & pressure compensation; Actuators Accumulators & Intensifiers; Simple hydraulic circuits; Industrial circuits; Servo-hydraulics; Electro-servo hydraulics.

ME 631 : Applied Aerodynamics (3-1-0-4)

Aerodynamic Theory and Analysis Tools: Low Speed Aerodynamics, High Speed Aerodynamics, Wing-Body Configuration Aerodynamics, Propeller, Rotary Blade and Wind Turbine Aerodynamics. A plethora of software tools incorporating classical analytical and modern CFD techniques will be used for problem solving. Applications: Estimation of Aerodynamic Characteristics (Empirical, Analytical and Computational), Innovative Cross-Disciplinary Projects involving Aerodynamics. This course will be conducted in an inverted classroom mode

ME 636 : Fuel Cell and Battery Systems (3-0-0-4)

Introduction to fuel cells; fuel cell types, characterization, Fuel cell thermodynamics: thermodynamics review, Heat and Work potential of a fuel, Gibbs Free Energy, Predicting OCV, Nernst Equation, Fuel Cell reaction kinetics, Fuel cell charge transport, Fuel cell mass transport, Fuel cell modeling, Fuel cell characterization, Overview of fuel cell systems, Introduction to fuel processing, Thermal management sub-system design, Fuel cell system design. Role of batteries, classifications and types; Solid phase of porous electrodes, intercalate species transport; System response (time and frequency); Battery system models; State of charge estimation; Overview of battery management systems; Flow batteries: applications and challenges

ME 440 : Introduction to Composite Materials (3-0-0-)

Introduction; Advanced fibers, Matrix materials, Fabrication of polymer composites; Behavior of unidirectional composites: Prediction of elastic constants and strengths, failure modes, expansion coefficients and transport properties; Short-Fiber composites; Analysis of an orthotropic lamina: Stress strain relations and engineering constants, Strength of an orthotropic lamina; Analysis of laminated composites: Strains and stresses in a laminate, Synthesis os stiffness matrix, Special laminates, Analysis of laminates after initial failure, Hygrothermal stresses in laminates; Experimental Characterization of Composites: Physical properties, Mechanical properties, Damage identification; Advanced topics.

MS 404 : Neuromarketing (3 – 0 – 0 – 3 – 2)

Introduction to marketing and Brand management, concepts of neuromarketing, human brain and autonomic nervous system, attention and memory in brand communication, Experimental methods in neuromarketing, consumer decision making, the buying impulse, pricing, emotions, product life-cycle, case studies, hope and hype of neuromarketing.

MS 303: Accounting and Financial Management (3-0-0-4-6)

Course contents:
Accounting as an information system for engineering decisions; Accounting Mechanics: Journals, Ledger, Trial Balance, Profit & Loss and Balance Sheet; Analysis of financial statements – Ratio Analysis; Introduction to costing – cost behavior - transfer pricing; Marginal costing including break even analysis, standard costing and variance analysis and budgetary control; Introduction to financial engineering; Sources of long- term funds- stocks and bonds and their valuation; Methods of project evaluation – payback period, accounting rate of return, net present value, benefit cost ratio, internal rate of return; Risk – Return Analysis : portfolio theory and capital assets pricing model; Introduction to interest rates, exchange rates and derivative instruments.

MS 306 : Principles of Business Management (3–0–0–4)

Course Contents:
What exactly is “business management”? What does a manager do? Can management principles be applied to non-business situations? Is management an “art’ or a ‘science”? This introductory course aims to address some of these questions. It provides a broad overview of management and its functions. The topics covered are as below:
Evolution of Business Management as a discipline; Introduction to basic concepts in Management; Primary functions of management: Planning; Organizing/Staffing; Directing/leading; Controlling; Management in context: Small v/s large organizations, management in different cultural contexts; introduction to some "popular" management tools/concepts – strategy, core competence, re-engineering, centralization/decentralization.

MS 304 : Organizational Behaviour & Human Resource Management (3-0-0-)

Behaviour in Organizations ; Personality & Its Measurement; Perception; Performance & Expectation; Attitude and Values; Motivation; Communication Process; Power and Influence; Ethics, Leadership; Group Processes & Group Decision Making; Teams & Team Building; Conflict & Negotiation; Collaboration and Competition; Organizational Structure; Organizational Culture; Organizational Change Human Resource Management; Strategic Human Resource Management; Job Analysis and job Design; Human Resource Planning; Recruiting Human Resources; Selecting Human Resources; Employee Orientation and Placement; Career Planning and Guidance; Training Need Assessment; Employee Training and Management; Performance Appraisal: Concept, Methods and Film: Performance Appraisal; Performance Management; Compensation Administration; Incentives and Benefits; Employee Well-Being; Worker's Participation in Management; Managing Industrial Relations and Trade unions; Discipline and Disciplinary Action, Employee Grievances; International Human Resource Management Wrap up

MS 401 : Introduction to Marketing (3-0-0-6)

An analytical approach to the study of marketing problems of business firms and other types of organizations; Business Marketing: process of understanding, creating and delivering value to targeted business markets and customers; Technology Marketing: conceptual frameworks and analytical tools for marketing decision making in high-growth and turbulent technology businesses; Marketing Strategy: integrative, dynamic view of competitive brand strategy.

MS 403 : Engineering Entrepreneurship (3-0-0-4)

Introduction: A serial engineering entrepreneur’s point of view about starting a high technology software or hardware related company; Perspective of an entrepreneur: Why become an engineering entrepreneur; Cost of entrepreneurship: A realistic view of opportunity cost and loss of income; Preparation: What are the options for preparation; Starting a venture: A look at the steps involved and the choices to be made; inancing: Source of funds suitable for various type of start-ups; Managing and growing to company: Creating, capturing and protecting value; Build to last or that to exit: Is there a difference in strategies tailored according to exit plans?

MS 408 : Financial Considerations in Engineering Decisions (3-0-0-2)

This course is designed to train students to develop an in-depth perception of major considerations in decision making involving large engineering projects. Students will be presented with tools of finance and decision making and interactively lead through practical applications. The course concludes with a case study involving a real world example. A primer will be provided on the technology relevant to the keystone case. Interpretation of Financial Statements: Concise review of corporate financial statements with practical applications from start-ups to mature corporations. Special emphasis on the interpretation of financial statements and the application of such interpretations to corporate decision making with emphasis on technology projects. Applied Decision Making: Introduction to decision making models with interactive exercises on canonical applications. Case study methodology: methodology review and in-class interactive case study by example. Review of Relevant Technology: The keystone case involves in its core, a technology milestone. A primer with examples and illustrations of that technology will be presented so that the students may perform an informed in-depth case analysis. The Case: Case study involving a major real life technology breakthrough and various decisions that lead to the accomplishment of the goal will be presented through a case summary. Students will be assigned different topics of analysis and would be guided through their independent analyses of the corporate decision making process taking into detailed consideration, the financial as well as technology aspects. As a bonus, the students will be given the opportunity to make predictions on alternate outcomes and their potential impact on the companies as well as society.

MS 406 : Business Skills for Entrepreneurs (3-0-0-4)

Field: This is an advanced entrepreneurship course for those who have already completed MS403. It is intended for students to develop an in-depth understanding of how to manage a start-up. It will be taught as a case study based instruction method. After students are exposed to the cases, the successes and failures will be analyzed in class in the context of the skills being discussed and students would be required to answer questions as class-work or homework. The cases may be presentations by entrepreneurs or written cases. In this first half of the semester, case studies will primarily focus on corporate culture, customer development, team building and negotiations, four essential elements of entrepreneurship. The second half of the semester will primary focus on idea generation, product management and financial planning & control. The course also allows students to start a new project or continue to develop their concept started in MS403. In addition to the instructors, visit by successful entrepreneurs, guest lectures and visits to start-ups will be organized to enhance learning.

MSE 301 : Materials science of thin films (3 – 0 – 0 – 6 – 4)

A review of Materials science, vacuum science and Technology, Thin-film evaporation processes, Discharges, Plasmas, and Ion-Surface Interactions, Plasma and Ion Beam processing of Thin Films, Chemical Vapor Deposition, Substrate Surfaces and Thin-film Nucleation, Epitaxy, Film structure, Characterization of thin films and surfaces, Interdiffusion, Reactions and transformations in thin films, Mechanical properties of thin films.

MSE 302 : Corrosion and degradation of materials (3–0–0–4)

Definition of corrosion – type of corrosion, economic impact of corrosion, corrosion science and corrosion engineering; Principles of degradation – environmental factors controlling corrosion, electrochemical reactions (half-cell, Anodic/Cathodic), atmospheric corrosion, Faraday’s law, Corrosion rates; Thermodynamic of corrosion – Chemical potential and standard states, Free energy and electrode potentials, Nernst Equation, Electrochemical cells, metallurgical characteristics important to corrosion, Galvanic corrosion, Crevice corrosion, Differential concentration cells, Pourbaix diagrams; Kinetics of Corrosion – Methods to determine corrosion rates, Electrochemical polarization, Electrode Kinetics for Activation Polarization, Mixed Potential theory; Mechanisms of Corrosion – Crevice and Pitting corrosion, Mechanically assisted corrosion, high temperature corrosion, Degradation of polymers and ceramics, Environmental factors affecting corrosion/degradation; Passivity – Electrochemical theory, properties and characterization of passive layer, passive layer formation for different surfaces (steel, iron, aluminum, alloys)

MSE 303 : Mechanical Behaviour of Materials (3–0–0–4)

Plastic deformation of single crystals – Crystal geometry/defect, deformation by slip, critical resolved shear stress for slip, deformation of single crystals; Dislocation theory – Burgers vector and dislocation loop, dislocation observation, Dislocations in FCC/HCP/BCC, stress fields and energy of dislocations, dislocation slide and climb, jogs, dislocation sources; Strengthening mechanisms – Grain boundary strengthening, yield point phenomena, strain aging, solid solution strengthening, strengthening from particle/fibers, strengthening due to point defects, martensite strengthening, strain hardening, cold-working, annealing, recovery/recrystallization; Fracture – Types of fracture, theoretical cohesive strength, Griffith theory of brittle fracture, fractography, dislocation theories of brittle fracture, ductile fracture, notch effect, fracture curve; Fracture mechanics – Strain energy release rate, stress intensity factor, fracture toughness, plane-strain toughness (KIc), plasticity corrections, crack opening displacement, J integral, R Curve; Brittle fracture and impact failure, notched-bar impact test, transition-temperature curve, fracture analysis, temper embrittlement, environment sensitive fracture; Fatigue of metals – Stress cycle, S-N curve, cyclic stress-strain curve, low cycle fatigue, strain-life equation, fatigue crack propagation, stress concentration, surface effects, cumulative fatigue damage and sequence effect, effect of metallurgical variables, machine design, corrosion fatigue; Creep and stress rupture – Time dependent mechanical behavior, creep curve, stress-rupture test, creep deformation mechanism, deformation mechanism maps, activation energy for steady-state creep, superplasticity, fracture at elevated temperature

MSE 401 : Introduction to Polymer Physics and Processing (3 – 0 – 0 – 6 – 4)

Polymer Physics: Conformation of polymer chains in solutions, melts, blends; thermodynamics of polymers solutions, blends; structure of glassy, crystalline & rubbery elastic states of polymers; entanglement effects, swelling & viscoelasticity.

Polymer Processing: Manufacturing processes e.g. injection molding, extrusion etc.; mechanical & rheological properties related to particular processing techniques; flow models for processing techniques.

MSE-602: Principles of Metal Extraction and refining (3-0-0-4-6*)

Introduction, History and Importance of Metal Extraction; Mineral Dressing – Introduction to Mineral Dressing; Sizing; Communication; Classification; Gravity Concentration (Heavy Media Separation, Jigging, Tabling); Froth Flotation, Magnetic Separation, Electrostatic Separation, Metallurgical Fuels and the Energy scenario; Extractive Metallurgy – Pyrometallurgical Operations (Roasting, Agglomeration, Smelting, Converting, Refining & Secondary refining); Principles of Hydrometallurgy; Principles of Electrometallurgy (Aqueous Solutions and Fused Salts); Flow sheet Design Based of Important Non Ferrous Metals Based on Material and Heat Balance.

MSE-601: Structure and Characterization of Materials (3-0-0-4-6*)

Basic Crystallography & Crystal Structures – bonding in materials, crystal systems, symmetry, crystallographic planes; Crystal defects & their significance – point, line & planar defects, dislocation movement & slip systems, surface defects with relevance to thin films; Diffraction &Imaging – radiation-matter interactions, optical microscopy, X-ray diffraction, SEM, TEM, electron diffraction in TEM, AFM; Spectroscopic Techniques – fundamental basis, EDS, XPS, AES, SIMS.

MSE-622: Advanced Metal Forming Technology (3-0-0-4-6*)

Static & dynamic recovery; recrystallization and grain growth; cold and hot working; fundamental concepts of metal forming; classification of forming processes; effect of temperature, speed of deformation and metallurgical structure on forming processes; determination of strain hardening exponent (n), strain rate sensitivity (m) & plastic anisotropy (r) of materials and their combined effect on sheet metal forming with special reference to formability; sheet metal forming processes (deep drawing, stretch forming etc); evaluation of forming limit diagram (FLD) of different materials; effects of grain size, temperature, cross head velocity and n, m & r on FLD; super-plastic forming, super-plastic forming and diffusion bonding (SPDB), super- plastically formed components; bulk metal forming (forging, rolling extrusion & wire drawing); classification and advantages of different types of forging; metallurgical defects of forging; fundamental principles of the metal rolling processes; classification of rolling processes; defects in rolled products; cold & hot rolling; types of extrusion processes; variables of deformation pattern in extrusion; defects in extruded products; rod bar tube and wire drawing, defects in wire drawing.

MSE 301: Thin Film Processing and Characterization (3-0-0-4-6)

Course Contents:
Review and relevance of thin films, various thin film processing techniques, an introduction to vacuum science and Technology, Thin-film evaporation processes, Plasma and Ion Beam processing of Thin Films, Chemical Vapor Deposition, Non-vacuum thin film processing techniques, Substrate Surfaces and Thin-film Nucleation, Epitaxy, Microstructural characterization of thin films and surfaces, Interdiffusion, Reactions and phase transformations in thin films, Overview of various properties of thin films and their relation to their microstructures.

MSE 351: Metallography Laboratory (0-0-4-2)

Principles of sample preparation for optical metallography; Observation of macrostructures; Solidification of metals and alloys, observing solidification structures; Studying cast, work hardened, annealed, and recrystallized microstructure; Study of different types of Eutectic, and Eutectoid structures; Heat treatment of different plain carbon steels, and their microstructures and hardness; Microstructures of non-ferrous alloys (AL-Si, Cu-Zn, Cu-Sn); Hardenability measurement – Jominy End Quench test; Grain size measurement and quantitative microstructural analysis.

MSE 352: Material characterization techniques (2-0-3-4)

Introduction to material characterization techniques; Structural Characterisation: X-Ray diffraction (principle, phase identification and quantification), Electron Microscopy (principle, morphology, crystallite size, elemental detection); Surface characterization: Atomic Force Microscopy (for determining topography) Contact angle (surface energy, hydrophilicity); Electrical characterization: Four probe measurement (for measuring sheet resistance), Hall measurement (for measuring sheet resistance, carrier concentration and mobility); Thermal characterization: Differential Scanning calorimetry , Differential Thermal Analyzer (to understand phase transition); Mechanical (Dynamic mechanical analyser for soft materials); Compositional characterization: (energy-dispersive spectroscopy, Inorganic content evaluation)

MSE 625: Thermodynamics of thin film growth (3-0-0-4-6)

Course Contents:
Introduction to bulk thermodynamics and its extension to reduced dimensions, Concepts of surfaces, interfaces and bulk, Methods for determining surface energy, interface energy and bulk Gibbs free energy, Concept of interfacial segregation, determining equilibrium segregation, Thermodynamics of phase formation in thin film under reactive atmosphere, Application of these concepts towards the growth of amorphous and crystalline thin films on metals and alloys.

MSE 626: Light Metal Alloys for Automotive Industry (3-0-0-4-6)

Course contents:
Special light metal alloys for automotive applications; effect of alloying elements on alloys; controlled metal hygiene for load bearing components such as, chassis, wheel and inner body panels; cast and wrought alloys for engine and outer body panels; foil for radiator fins; heat treatment, mechanical properties (both static & dynamic) and microstructural aspects of alloys; surface topography and pretreatment; corrosion resistance property; flow curves; formability of alloys with special reference to forming limit diagram (FLD) at ambient and warm temperatures; thermal stability, safety and crashworthiness; life cycle data analysis; space frame technology; yield criterion; recycling of alloys based on chemical composition after end use; comparison between steel and light alloys with respect to the fuel consumption and environmental aspect; advance materials for automotive applications; in depth study on use of light metal alloys for automotive industries in India with a global perspective.

MSE 201 : Phase Transformation and Phase Equilibrium

Definition of a phase, thermodynamic criterion for phase stability, equilibrium between phases, Gibb’s phase rule, introduction to phase diagrams, potential phase diagram (e.g. temperature-pressure diagram of H2O), composition phase diagram and concepts of solidus, liquidus, solvus curves, tie line, lever rule, Introduction to various types of transformations such as eutectic, eutectoid etc.; Solidification: homogenous and heterogeneous nucleation, rate of nucleation, growth, isomorphous phase diagram (e.g. Cu-Ni) and solidification of alloys, Scheil equation, constitutional and thermal super-cooling, dendritic solidification principles, Eutectic phase diagrams (Al-Si, Ag-Cu, Fe-C) and eutectic solidification. Introduction to other phase transformations involving liquid phase such as peritectic and monotectic transformations; Solid-Solid Phase Transformations: Diffusional phase transformation; classical nucleation theory, growth, role of interfaces, spinodal decomposition. Partitionless phase transformations; massive and displacive/martensitic phase transformation; Thermo-mechanical treatments: Annealing, Normalizing, Quenching treatments, CCT/TTT diagrams, hardening and introduction to surface treatments, tempering, deformation induced phase transformation.

MSE 603 : Thin Film Processing and Characterization (3-0-0-4)

Review and relevance of thin films, various thin film processing techniques, an introduction to vacuum science and Technology, Thin-film evaporation processes, Plasma and Ion Beam processing of Thin Films, Chemical Vapor Deposition, Non-vacuum thin film processing techniques, Substrate Surfaces and Thin-film Nucleation, Epitaxy, Microstructural characterization of thin films and surfaces, Interdiffusion, Reactions and phase transformations in thin films, Overview of various properties of thin films and their relation to their microstructures.

MSE 627 : Interfaces in Materials (3-0-0-4)

Solid-vapor interface: atomic structure of solid surfaces, surface energy, crystal growth from vapor and surface segregation; Solid-liquid interface: structure and energy of solid-phase interfaces, crystal growth from liquid, solute partitioning and morphological stability at a solid-liquid interface; Solid-solid interface: structure and energy of a homophase and heterophase interfaces. Growth of heterophase interfaces. Morphological stability and segregation at heterophase interfaces.

Introduction to traditional and advanced materials, their properties and applications, Origin of these properties, Electrical materials: metals, semiconductors, dielectrics, ferroelectrics, multiferroics, piezoelectrics, Optical materials: reflectors, absorbers, transparent materials, Optoelectronic materials, Magnetic materials: diamagnetic, paramagnetic, ferromagnetic, antiferromagnetic, ferrimagnetic, soft and hard magnetic materials, spintronics, superconductors, Biocompatible materials, Nanomaterials, Nuclear materials, Case studies: Advanced energy materials, healthcare materials, electronic materials, etc.

MSE 629 : Structure and Defects of Materials (3-0-0-4)

Crystallography & Crystal Structures – bonding in materials, periodic patterns, Lattices, Unit cells, Primitive & non-primitive unit cells, symmetry in 2 dimensions and 3 dimensions, point group notations, crystallographic planes (directions and projections), Crystal systems & Bravais Lattices, liquid crystals; Crystal defects & their significance – point defects and their role in materials processing, thermodynamics of point defects, Schottkey & Frenkel defects, dislocations, dislocation movement & slip systems, dislocation arrays and grain boundaries, dislocations in FCC and other structures, multiplication of dislocations, effect of dislocations on mechanical properties, planar defects, stacking faults, grain boundaries, twinning, surface defects with relevance to thin films; Diffraction – radiation-matter interactions, x-ray diffraction, structure factors, symmetry & reflection intensities, structure determination using xrd.

MSE 632 : Characterization of Materials

Review and relevance of characterization of materials; Structural Characterisation: Optical microscopy (determination of microstructure and grain size ), Scanning Electron Microscopy (determining morphology, crystallite size, elemental detection, thickness), Transmission Electron Microscopy (microstructure, lattice parameter, substrate orientation relationship, thickness); Electron Probe Micro Analysis, Energy-dispersive spectroscopy and wavelength-dispersive spectroscopy (chemical analysis); Surface characterization: Atomic Force Microscopy (for determining topography), X-ray Photoelectron Spectroscopy (chemical characterization), Auger Electron Spectroscopy (chemical characterization, grain boundary segregation); Electrical characterization: Four probe measurement (for measuring sheet resistance), Hall measurement (for measuring sheet resistance, carrier concentration and mobility), Scanning Tunelling Microscopy (to understand local surface electronic structure); Magnetic properties; Thermal characterization: Differential Scanning calorimetry , Differential Thermal analyzer (to understand phase transition), Dilatometer (to measure thermal expansion coefficient); Mechanical and Thermomechanical characterization

MSE 604 : Deformation Behaviour of Materials (3-0-0-4)

Solidification of metals, phase rule, equilibrium diagrams, Iron carbon diagram, phase transformation (austenitic to bainitic, pearlitic and martensitic transformation), heat treatment of steel such as normalizing, annealing and quenching (for hypo and hyper-eutectoid steels) and hardening of steel; Creep curve, effect of stress and temperature on creep behavior, stress- rupture test, deformation mechanism maps, high temperature alloys, fracture at elevated temperature, application of creep data for various materials, rules for the development of creep resistant alloys, difference in mechanisms for creep and superplastic deformation, factors responsible for high temperature design, creep- fatigue interaction; Fatigue failure, determination of S-N curves for both ferrous and non-ferrous alloys, effect of size, surface and metallurgical variables on fatigue, effect of non-metallic inclusion and mean stress on fatigue failure, low cycle fatigue, structural features of fatigue, effect of temperature on fatigue, fatigue crack growth, thermal fatigue and corrosion fatigue, certain practical aspect of fatigue failure.

MSE 605 : Biomaterials for Tissue regeneration (3-0-0-4)

Introduction to biomaterials, tissue engineering and tissue regeneration, principles of in vitro and in vivo studies, metallic, ceramic, polymeric and composite implant materials, synthesis and characterization of implants and implant materials, clinical use of biomaterials in cardiac, dental and orthopedic areas; tissue response to materials; structure property relationship of biological materials; requirements of biomaterials for use in cardiac applications, skin substrates, bone, ligaments and cartilage.

MSE 621 : Process Plant Design – How to Set Up a Process Industry (3-0-0-4)

Introduction to Process design, engineering design, process engineering & plant design; How to start process design; Process design development; Scope of project, process design & safety Materials and energy balances; equipment selection and specifications; Detailed plant flow- sheet; Site selection; Economic evaluation of project; environment impact analysis; Planning tools – CPM & PERT; Case studies.

Structures and functions of basic classes of biomolecular materials – Nucleic acids, Proteins, Lipids & sugars; Specific & non-specific interactions between biomolecular materials – Electrostatic, van der Waals, hydrophobic interactions; Case studies in biomolecular materials science,– Tissue engineering, drug delivery, role of self-assembly in diseases.

MSE 624 : Thermo-mechanical processing (3-0-0-4)

Introduction to thermo-mechanical processing, strengthening mechanisms, heat treatment processes, fundamentals of mechanical working, different thermo-mechanical processes, residual stresses, defects, recent developments and new processes, case studies of alloy processing.

MSE 630 : Kinetics of Materials (3-0-0-4)

Thermodynamics vs kinetics; Homogeneous and heterogeneous reactions - chemical reaction control rate equation, reaction rate constant, reaction order, non-elementary reactions; Solid State Diffusion -Fick’s Law, mechanisms of diffusion, uphill diffusion, Kirkendall effect, steady and transient diffusion; External mass transfer -fluid flow and its relevance to mass transfer, general mass transport equation, concept of mass transfer coefficient, models of mass transfer -film theory and Higbie’s penetration theory; Internal mass transfer-ordinary and Knudsen diffusion, mass transfer with reaction; Adsorption –physical adsorption vs. chemisorption, adsorption isotherms - Langmuir, BET; Adsorption as the rate limiting step examples - gasification of C by CO2, dissolution of N2 in molten steel; Porous solids - specific surface area and pore size distribution; Reactor design -batch vs continuous reactors, ideal stirred tank and plug flow reactors; Mass balance in ideal reactors, residence time distribution; Models of industrial reactors; Electrochemical kinetics-concept of polarization, activation over potential, Butler-Volmer and Tafel’s equation, applications in electro-deposition and corrosion.

MSE 631 : Thermodynamics of Materials (3-0-0-4)

Open, closed, and isolated thermodynamic systems; state and process variables; extensive and intensive thermodynamic properties; first, second and third law of thermodynamics; condition and criterion for equilibrium; introduction to statistical thermodynamics; single component systems and introduction to potential phase diagram, Clausius-Clapeyron equation; multicomponent systems and solution thermodynamics, mixing process, ideal, regular and non-regular solution, behavior of dilute solutions, partial molal properties, chemical potential, Gibbs-Duhem equation; homogeneous and heterogeneous systems, Gibbs phase rule, composition-temperature phase diagrams, lever rule; thermodynamics of phase diagrams, reference states, free-energy composition curves, common tangent construction; thermodynamics of surfaces and interfaces, surface excess properties, capillarity effects on phase diagram, thermodynamics of point defects.

PH 101: Physics (3-1-0-4-8)

Course contents:
Introduction of vector analysis and calculus. Grad, div and curl. Line, surface and volume integrals. Gauss and Stokes’ theorem. Curvilinear co-ordinate system, Dirac delta function. Concept of electric and magnetic fields. Electrostatic potential, Poisson and Laplace’s equation. Multipole expansion. Biot-Savart Law, Ampere and Faraday’s law. Electromagnetic induction. Conservation equation, introduction to Maxwell’s equations. Electromagnetic waves, Waveguides. Stern Gerlach experiment. Limitations of classical concepts. Kets, bras, and operators, Hilbert space, postulates of quantum mechanics, measurements and observables, expectation value, Ehrenfest theorems. Schrodinger equation, position and momentum representation. Wave-function, particle in a box, potential well, tunneling and it’s applications, periodic potential. Electron band structure in solids.

PH-501: Einstein’s Theory of Relativity (3-0-0-4-6*)

Physics before Einstein, postulates of relativity, Lorentz transformation, time and length contraction. Causal structure, space time diagrams. Relativistic dynamics, decays and collisions, massless particle. Experimental verification of special relativity. Relativistic electrodynamics, electromagnetic field due to a moving charge. Gravitation, equivalence principle, gravitational redshift. General relativity, non-Euclidian geometry, gravity as the curvature of space time. Global positioning system.

PH-604: Classical Mechanics (3-0-0-4-6*)

Mechanics of a particle, system of particles. Constrained motions, Virtual Work and D’Alembert’s Principle. Variational calculus, Hamilton’s principle, Generalized coordinates, Lagrange’s equations of motion, Symmetry and conservation theorems, Rotating frame of reference, illustrative examples and applications. Two body central force, equations of motion, first integrals, condition for closed orbits, Kepler’s problem, virial theorem, orbit of satellites, physics of tides. Kinematics of rigid body motion: Euler Angles, Rotation matrices, Orthogonal transformations, Degrees of freedom of rigid body, Euler’s theorem, Inertial tensor, Energy and Angular momentum, Equations of motion, solution in torque free system, Gyroscopes, Precession of Satellite orbits, Precession of charged bodies in EM fields. Legendre Transformation, Hamilton function, Hamilton’s equations of motion, Liouville’s theorem, cyclic coordinates and conservation theorems, illustrative examples.Transition from discrete to continuous systems, Lagrangian formulation of continuous systems, the stress-energy tensor and conservation theorems. Noether’s theorem.

PH-404: Molecular and Crystal Physics (3-0-0-4-6*)

Introduction: an overview of fundamental of crystallography and the module introduces to the geometry of crystalline state, scattering of x-rays,Diffraction from a crystal and experimental methods to collect diffraction data and analyze. Symmetry in crystal lattice, Chemical bonds, Diffraction from periodic structures and methods of structure solving and solutions.

Crystal growth and crystal defects - It deals with the theory and kinetics of crystal growth, the various techniques such as melt growth, solution growth, vapour growth and the study of defects and crystals.

Lab Experimental demonstration: Powder X-ray diffraction analysis of solids in polycrystalline form and to find out the crystal systems by indexing the data sets.

PH 101 : Electricity and Magnetism (3-1-0-4)

Coulomb's law; Gauss' law; Poisson's and Laplace's equations; Conductors; Capacitors; Electrostatic Fields in Matter; Dielectrics; Bound charges, Electric Displacement, Linear Dielectrics; Lorentz force law; Continuity equation; The Biot-Savart law, Ampere’s law; Magnetic vector potential, Magnetostatic boundary conditions; Magnetic Fields in Matter; Bound currents, Auxiliary field H; Electrodynamics, Electromotive force; Faraday’s law; Inductance; Maxwell’s equations; Maxwell’s correction to Ampere’s law; Poynting vector; Electromagnetic waves, reflection and transmission, Snell’s law, Fresnel’s equations, Brewster’s angle.

PH 102 : Physics Laboratory (0-0-4-2)

Error analysis; Probability and Statistics; Compound pendulum; Newton’s Rings; Diffraction grating; Fresnel’s biprism; e/m by Thomson’s method; Planck’s constant; Frank Hertz experiment; Helmholtz coil; B-H Curve tracer; Dielectric constant of solids; Moving coil galvanometer; Thermistor characteristics; Lissajous figures; Stefan’s constant

PH 502 : Mathematical Methods of Physics - I (3-1-0-4)

Finite and infinite dimensional vector spaces, Hilbert space, operators in infinite dimensional spaces, Matrix algebra, Cayley-Hamilton theorem; Gram-Schmidt orthogonalization, commuting matrices with degenerate eigenvalues. Algebra of complex numbers, Schwarz inequality, function of a complex variable, Cauchy- Riemann equations and their applications, harmonic functions, complex integrals, Cauchy's theorem and its corollaries, Taylor and Laurent expansion, classification of singularities, branch point and branch cut, residue theorem and evaluation of integrals. Theory of second order linear homogeneous differential equations, Frobenius method, Fuch's theorem, Sturm-Liouville theory, Hermitian operators, orthogonal expansion and completeness. Inhomogeneous differential equations, Green's functions, special functions (Bessel, Legendre, Hermite and Laguerre functions) and properties. Integral transforms: Fourier and Laplace transforms and their inverse transforms, solution of differential equations using integral transform. Elementary group theory, point symmetry groups, group representations reducible and irreducible representations, Lie groups and Lie algebra with SU(2) as an example.

PH 503 : Quantum Mechanics I (3-1-0-4)

Wave functions, superposition principle, wave packets, Schrodinger equation, probability and current densities, expectation values and Ehrenfest"s theorem. Linear vectors and operators in Hillbert space, observables, commuting operators, momentum representation and uncertainty principle, unitary transformations, Schrodinger and Heisenberg representations, equations of motion. Applications: one-dimensional potential problems, linear harmonic oscillator with polynomial solutions, and creation and annihilation operators. Central forces, free and bound states in a Coulomb potential, angular momentum, spherical harmonics, Stern-Gerlach experiment for spin ½ system, spin, addition of angular momenta, Clebsch-Gordan coefficients. Time independent perturbation theory, first and second order corrections to the energy eigenvalues, degenerate perturbation theory, application to one-electron system, Zeeman effect and Stark effect. Variational methods: Helium atom as example, Ritz principle for excited states. Special topics like Quantum dots, coherent and squeezed states, lasers, Aharonov-Bohm effect, Berry phases, quantum entanglement and EPR paradox.

PH 504 : Quantum Mechanics II (3-1-0-4)

Time dependent perturbation theory, interaction picture, Fermi’s Golden rule, sudden and adiabatic approximations. WKB approximation, tunneling through a barrier. Scattering theory, di?erential and total scattering cross-sections, Scattering by spherically symmetric potentials, Partial wave analysis and phase shifts, Coulomb scattering, Green’s function in scattering theory, Born approximation. Symmetries in quantum mechanics, Conservation laws and symmetries: continuous and discrete, Rotation group, SO(3) and SU(2) representation, Lorentz group, SL(2,C) representation, matrix representation of generators , Irreducible spherical tensor operators, parity and time reversal. Identical Particles, symmetric and antisymmetric wavefunctions, slater determinant, Symmetric and antisymmetric spin wavefunctions of two identical particles, algebra of bosonic and fermionic creation an annihilation operators, continuous one particle spectrum and quantum field operators, dynamics of identical particles. Relativistic quantum mechanics, Klein-Gordon equation, negative energy states and concept of antiparticles, Dirac equation, plane wave solution and momentum space spinors, Helicity and chirality, charge conjugation. Special Topics: Many body physics, Gross-Pitaevskii equation, Bose-Einstein Condenstation, Superfluidty, Quantum well lasers, Nuclear magnetic resonance, Electron Spin resonance, Raman Effect, fractional braiding statistics in quantum Hall systems, qubits and quantum computing.

PH 506 : Methods of Experimental Physics (1-0-3-4)

Data visualization, elements of data analysis, linear and non-linear regression. General Physics and Optics: determination of Hall effect coefficient in n and p-type semiconductors, determination of electrical resistivity of a semiconductor using the 4-probe method, characteristics of a diode laser, Fabry-Perot etalon, Michelson and Mach-Zehnder interferometery, To visualize fine-splitting structure and verification of Bohr magneton value by Zeeman effect, characteristics of wave guides (optical fiber), determination of e/h ratio from Josephson junction experiments. Electronics: Characteristics of FET & MOSFET, Experiments using OPAMP (IC-741) VIZ. (Inverting & non-inverting amplifier, Comparator, Summing and Differential Amplifier, Integrator & Differentiator, Frequency characteristics of various kind of filters), Introduction to logic gates and digital electronics, Study of Frequency and Amplitude modulation. Incubate student led experiments in consultation with a faculty/expert.

PH 507 : Statistical Mechanics (3-1-0-4)

Postulates of Thermodynamics; Conditions of thermal, mechanical and chemical equilibrium, examples; Maxwell relations, Thermodynamics stability; Statistical basis of thermodynamics, microscopic and macroscopic states. Classical ideal gas, Boltzman H theorem and irreversibility. Ergodic process; Micro canonical ensemble, counting of states and phase space volume; Canonical Ensemble, equilibrium between system and heat reservoir, canonical partition function, Helmholtz free energy, Grand canonical Ensemble, partition function, particle number and energy fluctuations; Quantum statistical ensemble theory: density matrix formulation; system of identical particles, manybody wavefunctions for non-interacting fermions and bosons; ideal quantum gases: Bose-Einstein statistics, Fermi-Dirac statistics; Bose systems, Bose Einstein Condensation (BEC ) in non-interacting gases. BEC in Interacting systems- experimental observation in Rb atoms; Photon gas, and thermodynamics of Blackbody radiation. Elementary excitations of liquid Helium –II; Ideal Fermi gas description, Paramagnetism and Landau diamagnetism, electron gas in metals, Specific heat of metals; Phase transitions, Condensation in Van der Waals gas, Ising model and Ferromagnetism. Landau Phenomenological theory; Non-Equilibrium statistical mechanics, Brownian motion, random walks, Langevin equation, Markov process.

PH 509 : Computational Physics (3-0-2-5)

Computational physics and science, algorithms; Representation of numbers, machine precision, series summation; Errors, uncertainties, round offs, recursion relations method; Visualization of data; Non-thermal Monte Carlo techniques, random numbers and sequences, random walk problems, application to radio-active decay; Numerical Integration and Differentiation, Higher Dimensional Integration, Quantum Monte-Carlo methods; Function optimization, steepest descent, conjugate gradient, Golden ratio search, Variational Methods in Quantum mechanics; Matrix computing, system of equations, eigenvalue problems, large matrices, linear algebra packages; Data fitting: Lagrange interpolation, cubic splines, least-squares method, singular value decomposition; Ordinary differential equations: Euler's rule, Runge-Kutta methods, solving for equations of motion, non-linear oscillations with and without forcing, precision considerations, energy and momentum conservations; Quantum eigenvalue problem for a particle in a box; Time series analysis in Physics, Fourier analysis, discrete Fourier transforms, sampling and aliasing effects, Fast Fourier Transforms; Molecular Dynamics, non-interacting gas in a box, extracting thermodynamic variables from simulations; Introduction to high-performance computing hardware and parallel computing: distributed memory programming, parallelizing strategy, high level view of message passing, high throughput computing models.

PH 510 : Condensed Matter Physics (3-1-0-4)

Condensed matter physics as study of many-body systems. Spatial correlations. Limitations of single particle quantum mechanics, role of interactions, effective approaches. Hartree and Hartree-Fock approximations; Crystalline solids, lattices, symmetries, reciprocal lattice, Bravais lattice, space groups. Liquid crystals and quasi crystals. Spatial correlations through electron, neutron, electromagnetic field scattering. Theory of scattering from crystals. X-Ray diffraction, correlation functions, structure factor; Crystal Vibrations. Phonons. Specific heat of solids, Debye and Einstein models. Anharmonic effects in crystals. Mössbauer effect; Electrons in solids, free electron theory of metals: free electron Fermi gas, semi-classical theory of conduction in metals, Hall effect, Electrons in a periodic potential, Bloch’s theorem, band structure, Brillouin zones, tight-binding model, effective mass, holes, insulators and semiconductors. Homogeneous semiconductors, semiconductor band structures, inhomogeneous semiconductors; Theory of nanostructures, electron in a one-dimensional array of potential wells, Quantum wires, wells and dots. Optical properties of nano structures; Quantum theory of diamagnetism and paramagnetism. Ferromagnetism. Order-disorder transitions. Curie point and exchange field. Concepts of Anti-ferromagnetism and frustration.

PH 511 : Introduction to Quantum Field Theory (3-0-0-4)

Lorentz Invariance, Lorentz Group, Introduction to Spinors, Klein Gordan equation and Dirac equation, Limitations of relativistic quantum mechanics. Scalar field theory, quantization and construction of the Fock space, Propagators. Complex scalar field, Antiparticles. Quantization of Dirac field, Spin Statistics theorem. Interacting Field Theory, \lambda \phi^4 theory, Two point correlation function, Wick's Theorem, Interaction picture and Dyson series, Construction of Feynman Diagram. Quantization of electromagnetic field, Gauge fixing, Introduction of QED, Feynman Rules and scattering cross sections of tree level processes.

PH 512 : Aspects of Symmetry in Physics (3-0-0-4)

Symmetry and classical mechanics, Galilean and Lorentz invariance, conserved quantities. Noether's first theorem. Internal symmetries. Change conservation.Local symmetries, Gauge invariance, Short introduction of constraints, first and second class constraints, gauge symmetry as first class constraints. Constraint structure of classical electrodynamics. Classical Theory of relativistic particle, Re-parameterization invariance, Hamiltonian constraints. Symmetry in Quantum Mechanics, Wigner's Theorem, Projective representations, Super selection Rules, Quantum Lorentz Transformations, Poincaré Algebra, Spinor representation, One particle states in the Hilbert Space. Little group for massive and massless particles.

PH 605 : Topics in Classical Mechanics and Electrodynamics (3-0-0-4)

Lagrangian formulation of Classical mechanics; Principle of least action; Conservation laws and symmetries; Phase space formulation; Hamiltonian mechanics; Poisson brackets; Canonical transformations; Hamilton-Jacobi equation; Adiabatic invariants; Lagrangian and Hamiltonian formulation of Continuous systems and fields; Noether theorems; Gauge transformations; Local and Global symmetries; Review of Special relativity; Relativistic Mechanics of Charged Particle; Action principle for Electromagnetic field, Maxwell equations in covariant form; Electromagnetic energy momentum tensor; Propagation of Electromagnetic waves; Field due to a moving charge; Radiation reaction; Problem with Abraham-Lorentz formula; Limitations of Classical electrodynamics.

PH 606 : Review of mathematical methods in Physics (3-0-0-4)

Vectors and tensor analysis: review of vector algebra and calculus, tensors w.r.t. to general linear homogeneous transformations, tensors in 4-dimensional space time; Matrices and linear vector spaces: vector spaces, eigenvalues and eigenvectors, diagonalization and triangularization of matrices, orthogonal transformations and rotations; Complex analysis: analytic functions, power series, complex integration, Cauchy's theorem, Taylor and Laurent series, Jordan's lemma, analytic continuation, method of steepest descent, Gamma functions; Calculus of variation: functionals and functional derivatives, extremization problem involving functions, Euler equations ; Ordinary differential equations and special functions: Linear differential equations (first and second order), power series method; Integral transforms and Generalized functions: Fourier and Laplace transforms, applications of integral transforms, Generalized functions: Dirac delta function, generalized eigenfunction expansion; Partial differential equations (PDE's) : Some important PDE's, solution using separation of variables, types of PDE's and boundary conditions; Green's functions: ordinary and partial differential operators, Solutions of boundary value problems using Green's function; Group theory: representation of group, symmetry and degeneracy, Lie groups and Lie algebra, Unitary and Orthogonal groups and their representations .

PH 607 : Topics in Quantum and Statistical Mechanics (3-0-0-4)

Postulates of QM in bra-ket notation, entangled states, local hidden variable theory and classical and non-classical states; QM of composite systems, density matrix; Harmonic oscillator in operator representation, coherent states of harmonic oscillator; Addition of angular momenta; Symmetry in QM, concept of spin, SU(m) and SO(m) groups, geometric and dynamic symmetries, Runge-Lenz vector for Coulomb potential; Schrödinger equation in a periodic potential, energy spectrum of bulk and nano materials; Elements of the theory of scattering; Shannon and von Neumann entropies, statistical mechanical ensembles as the result of maximization of entropy with constraints; Spin and statistics, Maxwell-Boltzmann, Bose-Einstein, and Fermi distributions; Partition function, thermodynamic potentials in statistical mechanics, relationship between statistical and thermodynamic entropies; Bose-Einstein condensation.

PH 608 : Tools of Theoretical Physics (3-0-0-4)

Tensors analysis in physics: Cartesian Tensors, Tensors in 4-dimensional space-time, Complex analysis: Analytic functions, Complex integration, Taylor and Laurent Series, Analytic continuation, Special functions: Hermite, Legendre, Laugerre polynomials and functions, Bessel functions, Spherical harmonics, Hypergeometric functions, confluent hypergeometric functions, Integral transforms: Fourier and Laplace transforms, Generalized functions: Dirac delta function, Generalized eigenfunction expansions, Green’s function for ordinary and partial differential operators, solutions of boundary values problems using Green’s function, Group theory in physics: Representation of a group, symmetry and degeneracy, Lie group and Lie algebra, Unitary and Orthogonal groups in physics

PH 609 : Introduction to Einstein’s Theory of General Relativity (3-1-0-4)

Review of special relativity, uniformly accelerated observer, equivalence principle, gravitational redshift, gravity as the manifestation of space time curvature; Concept of differential manifold: Covariant derivative and connection, Lie derivative, space time metric, Christoffel symbols, Riemann curvature tensor, Ricci and Einstein tensors, Weyl tensor; Electrodynamics in curved space time; Hilbert action and Einstein’s field equation, Newtonian limit, energy conditions; Space time symmetries and Killing vector. Conserved quantities; Vacuum solution of general relativity, Schwarzschild metric, Birkhoff’s theorem, geodesics of Schwarzschild space time, Newtonian vs. relativistic orbits; Experimental test of general relativity: Bending of light, perihelion precession of Mercury, Shapiro time-delay; Weak field limit and linearised field equations, gravitational radiation, radiation by sources, energy loss. Introduction to post-Newtonian formulation.

PH 610 : Modern Particle Physics (3-1-0-4)

Review of elements of Quantum Mechanics; Introduction to relativistic Quantum mechanics: Dirac equation, probability current, Dirac bilinears; Need for a quantum theory fields; Symmetries and conservation laws: Continuous symmetries, Noether's theorem and conserved current; Gauge invariance and introduction to QED; Particle kinematics: review of special relativity and scattering cross sections; Group theory and Particle Physics: Lie groups and Lie algebra; Introduction to the Standard model: Electroweak Lagrangian, spontaneous symmetry breaking; LHC and Higgs Physics; Introduction to strong interaction physics; Open problems in Particle Physics.

PH 611 : X-ray Scattering: Concepts and Applications (3-0-0-4)

X-rays and their interaction with matter, scattering and absorption cross section, refraction and reflection; Sources: X-ray tubes, advent of synchrotron radiation; Refraction and reflection from surfaces and interfaces: refractive index including absorption, Snell’s law and the Fresnel equations in the X-ray region; Kinematical scattering I: non-crystalline materials: scattering from an atom, molecule, liquids and glasses, small-angle X-ray scattering (SAXS); Kinematical scattering II: crystalline order, scattering from a crystal, quasiperiodic structures, crystal truncation rods, lattice vibrations, Debye-Waller factor and Thermal Diffuse Scattering, applications of kinematical diffraction; Diffraction by perfect crystals: kinematical reflection from a few layers, Darwin theory and dynamical diffraction; Diffuse scattering: correlation functions, Born approximation; Applications of X-ray scattering: surface X-ray scattering techniques like X-ray reflectivity (XRR), grazing incidence X-ray diffraction (GIXD), grazing incidence small angle X-ray scattering (GISAXS), photoelectric absorption, resonant scattering.

PH 505 : Classical Electrodynamics (3-1-0-4)

Review of electrostatics and magnetostatics: Laplace and Poisson equations, uniqueness theorem, boundary-value problems, Lorentz force. Maxwell’s equations, electromagnetic waves, Poynting theorem. Gauge transformations and gauge invariance, electromagnetic potentials, wave propagation in conductors and dielectrics, Lorentz theory of dispersion, complex refractive index. Special relativity, Minkowski space and four vectors, concept of four-velocity, four acceleration and higher rank tensors, relativistic formulation of electrodynamics, Maxwell equations in covariant form, gauge invariance and four-potential, the action principle and electromagnetic energy momentum tensor. Liénard-Weichert potentials, radiation from an accelerated charge, Larmor formula, Bremsstrahlung and synchrotron radiation, multipole radiation, dispersion theory, radiative reaction, radiative damping, scattering by free charges; applications to wave-guides, fibres and plasmas. Radiation reaction from energy conservation; Problem with Abraham-Lorentz formula; Limitations of Classical electrodynamics. Special Lecture Topics: Plasma physics , Plasma and its occurrence in nature, uniform but time-dependent magnetic field : Magnetic pumping; Magnetic bottle and loss cone; MHD equations, Magnetic Reynold's number, Pinched plasma; Bennett's relation.

SC 110 : Fundamentals of Computer-Aided Programming (3-0-0-)

To introduce concepts in computer-aided engineering that are independent of hardware and software technologies. These concepts will be illustrated with engineering examples for tasks such as design and diagnosis. The course is divided into two parts. Part I consists of 15 lectures on fundamental topics in CAE. Part II involves preparation and presentation of a literature study of a specific CAE topic using knowledge from Part 1. The following topics will be covered :

Course overview & Definition of engineering tasks; Data representation

Data Represetation and Network theory

Databases

Iteroperability

Engineering Computer Interaction

Complexity

Kowledge discovery and Machine Learning

Seminar presentations related to topics covered in the lectures.