Undergraduate-level Courses

Compulsory Courses

Syllabus:

History of engineering materials, Engineering materials, Materials property chart, Crystal structure, Imperfections of solids, Mechanism of strengthening in metals, Hall-Petch effect, X-ray diffraction, Fracture: Ductile, brittle, fatigue. Griffith criterion, S-N curve, Creep, Phase diagram (binary), Iron-carbon system, Heat treatment of metals, Electrical properties, Thermal properties, Magnetic properties, Optical properties, Corrosion, Oxidation, Thermal stability , Wear, abrasion, friction of materials, Characterization techniques: Optical microscopy, scanning electron microscopy, transmission electron microscopy, atomic force microscopy, Polymer and its characterization, Viscoelasticity, Nanomaterials and its important properties at nanoscale, Composites: Characterization of composites, Ionic polymer matrix composites, Shape memory alloy, Intelligent Multifunctional materials, Economics, Environment, and Sustainability. Click here for more information..

Credits:

7

Prerequisites:

None

Syllabus:

Reynolds Transport Theorem; Integral form of continuity, momentum and energy equations; Eulerian and Lagrangian view-points; Constitutive relations; Navier Stokes equations; Exact solutions; Potential flow; Boundary layer theory; Separation and drag; Turbulent flow: Reynolds averaged equations; Turbulent flows in pipes and channels; compressible flows. Click here for more information..

Credits:

10

Syllabus:

Theory of general engineering design, conceptual design, embodiment design, designing to standard, basic sketching, machine drawing, dimensioning as per standards, fits and tolerances, machine elements, assembly drawing, geometrical modeling, and use of CAD software for modeling and animation. Click here for more information..

Credits:

5

Prerequisites:

TA 201, TA 202

Syllabus:

Introduction to energy resources and conversion systems: Fossil fuels, Nuclear energy, Hydrogen, Renewable energy sources. Thermal energy to Mechanical Energy Conversion: Internal Combustion Engine Technology, Real Cycles, Combustion, Emissions, Performance and Testing. Mechanical Energy to Thermal Energy Conversion: Modern Refrigeration and Air-conditioning Systems. Click here for more information..

Prerequisites:

TA 101N

Syllabus:

Introduction to Cartesian tensors; Strains: Concept of strain, derivation of small strain tensor and compatibility; Stress: Derivation of Cauchy relations and, equilibrium and symmetry equations, principal stresses and directions; Constitutive equations: Generalized Hooke’s law including thermoelasticity, Material symmetry; Boundary Value Problems: Definition of the bvp in linear elasticity including concepts of uniqueness and superposition; 2-d plane stress and plane strain problems, introduction to governing equations in cylindrical and spherical coordinates, axisymmetric problems (examples may include problems on curved beams, thermoelasticity, torsion of non-circular cross sections, contact problems in 2-d, problems on wedges and crack tip fields); 3-d problems by potential methods; Energy methods and problems. Click here for more information..

Credits:

7

Prerequisites:

ESO 204

Syllabus:

Introduction. One-dimensional and Two-dimensional Steady and Transient Conduction. Forced Convection over a flat plate and inside tubes. Natural Convection over a vertical flat plate. Mass Transfer. Boiling and Condensation. Heat Exchangers. Thermal Radiation. Heat Transfer Applications. Click here for more information..

Credits:

10

Credits:

6

Syllabus:

Introduction to design of systems and machine elements; Modes of failure, strength, stiffness and stability; Failure theories; Fatigue failure; Probabilistic approach to design; Design of Bolted and Welded joints, Helical compression springs and leaf springs, Spur and Helical gear sets; Selection of Rolling contact bearings; Design of shafts. Lab sessions: Detailed design of the above machine elements starting functional specifications to final sizing; Design of a subsystem involving multiple machine elements. Introduction to use of techniques like FEM for design. Click here for more information..

Prerequisites:

ME 231

Syllabus:

Kinematic pairs, diagrams and inversion. Mobility and range of movement. Displacement, velocity and acceleration analysis of planar linkages. Dimensional synthesis for motion, path and function generation. Dynamic force analysis, flywheels. Inertia forces and balancing for rotating and reciprocating machines. Cam mechanisms, Cam profile synthesis. Gears and gear trains. Click here for more information..

Credits:

7

Prerequisites:

ESO 209

Syllabus:

Introduction to modeling of dynamical systems. Single Degree of Freedom Systems – Free undamped vibration, Free damped vibration, Forced vibration, Transmissibility, Convolution method, Mechanisms of damping. Two Degree of Freedom System (undamped vibration only) – Free and forced vibrations, vibration absorber. Multi Degree of Freedom Systems (undamped and proportional damping) – Matrix methods, Modal analysis. Approximate Methods. Vibration of continuous systems (free vibration only). Introduction to controls. Review of Laplace transforms. Block diagrams. Root locus method. Stability – Routh-Hurwith criterion, Nyquist plots. Bode plots. Controller performance and types. Steady state errors and constants. Types of feedback control systems – Derivative error compensation, Integral error compensation, Proportional error compensation. Modern control. Digital control. Click here for more information..

Prerequisites:

ESO 209

Syllabus:

Introduction to manufacturing processes and system concept and its evolution; Metal casting: Solidification Mechanism, Gating and Riser Design, Defects and Product Design; Metal Forming: Fundamentals of Plasticity, Force Equilibrium Method, Forging/upsetting, Drawing, Extrusion, Deep Drawing and Bending, Defects; Machining: Tool Specifications, Orthogonal and Oblique cutting, Tool wear and Tool Life, Economics of Machining; Shaping processes for Plastics and Tool Design; Joining Processes; Un-Conventional Material Removal Processes: ECM, EDM, LBM and Jet Machining; Rapid Prototyping and Tooling; Micro-fabrication technologies; Metrology and Selection of Manufacturing Processes. Click here for more information..

Credits:

10

Credits:

8

Credits:

10

Prerequisites:

ESO 209

Syllabus:

Introduction: General Theory and Classification of Turbomachines; Similarity and Dimensional Analysis; Two-dimensional Cascade Theory; Axial and Radial Flow Machines: Turbines, Compressors and Fans; Gas Turbine Power Plant Cycles; Thermal Power plant: Flow through Nozzle and Steam Turbines; Hydraulic Machines: Pelton, Francis and Kaplan Turbines; Pump and Cavitation. Click here for more information..

Credits:

10

Prerequisites:

ME 361

Syllabus:

Project work involving the analysis, synthesis, material/component selection and detailed design of a mechanical system including the preparation of working drawings. The system may be integrated with electronics, electrical, hydraulic and other systems. Projects may be selected by students from any of the four specific areas (or a combination there of) Fluid mechanics and Thermal sciences, Solid Mechanics and Design, Manufacturing Science and Robotics and/or any other related mechanical system(s). Click here for more information..

Credits:

9

Prerequisites:

ME231, ME 341, ME 351, ME361

Syllabus:

Fabrication of a prototype based on the work done in project-I. Qualitative performance evaluation and appropriate modification of a prototype. Click here for more information..

Prerequisites:

ESO201, ME231

Syllabus:

Introduction to manufacturing, Manufacturing system concept. Manufacturing automation, FMS, CIMS, Flow lines and assembly systems, Automated storage / retrieval systems, AGV. Introduction to CAD/CAM, NC, CNC, DNC, Adaptive control. Manual and computer assisted part programming. Introduction to robots and their application in manufacturing. Process planning and Computer Aide Process planning. Group Technology, Opitz System and GT benefits. Material Management and Inventory control, MRP and MRP II. Just in time (JIT) and Lean manufacturing. Introduction to quality assurance and control, Statistical Quality Control, control charts, sampling. Total Quality Management. Manufacturing system simulation. Click here for more information..

Credits:

9

Credits:

6

Prerequisites:

ME231, ME 341, ME 351, ME361

Elective Courses

Syllabus:

Introduction: Refrigeration and air-conditioning, definitions, Psychrometry, sensible/ latent cooling loads, apparatus, dew point, complete psychrometric analysis, building heat load calculation, infiltration and moisture transport, winter air conditioning, part load operations and control; Refrigeration cycles, multi-staging and cascading, aircraft refrigeration and air conditioning, design of cooling coil, heat pump, solar refrigeration system; Supporting material: Boiling heat transfer, forced convection boiling, film condensation, condensation on radial systems, Overall heat transfer coefficient, LMTD and NTU methods, cooling tower; Special topics/case studies: such as Solar thermal dynamics, Click here for more information..

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Syllabus:

The equations of motion in rotating coordinate system, effect of Coriolis and Centrifugal forces, energy equation; classification of turbomachines; two-dimensional cascade theory; fundamentals, two-dimensional analysis, angular momentum & energy transfer, h-s diagram, degree of reaction, effect of Mach number, performance and efficiency; three-dimensional flow in axial turbomachines, radial equilibrium, secondary flow, tip clearance and loss estimation; radial and mixed flow machines; multistage axial compressors and turbines; prediction of stage performance and Click here for more information..

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The purpose of the course is to expose the students to the basic elements of continuum mechanics in a sufficiently rigorous manner. After attending this course, the students should be able to appreciate a wide variety of advanced courses in solid and fluid mechanics Click here for more information..

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History of calculus of variations: Discussion of certain classical and modern problems in mechanics that led the emergence and development of calculus of variations. Contributions of Bernoulli(s), Euler, Lagrange, Jacobi, Weierstrass, Hamilton, Legendre and some others will be discussed briefly; Definition of a function, function space (with examples of function spaces that are important in engineering and sciences) and so called 'functional'; Definition of the first variation of a functional and a variational derivative. Necessary condition for an extremum. Euler equation. Discussion on Null Lagrangian and natural boundary condition. Constraints and Lagrange multipliers Click here for more information..

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This course aims to setting-up initial-boundary value problems for some important and fundamental structural members viz. bars, strings, membrane and plates. Analytical and approximate solutions to these problems for various loading and boundary conditions are discussed and analyzed. Click here for more information..

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This course will introduce the students to the basics of nonlinear dynamics with a specific emphasis on second order systems representing vibration problems. Computer based assignments and tests will be used to complement the in-class evaluations. Use of symbolic algebra packages and computations using MATLAB will be encouraged.. Click here for more information..

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Introduction: Governing equations for fluid flow and heat transfer, classifications of PDE, finite difference formulation, various aspects of finite difference equation, error and stability analysis, dissipation and dispersion errors, modified equations; Solutions of simultaneous equations: iterative and direct methods, TDMA, ADI; Elliptic PDE: One- and Twodimensional steady heat conduction and their solutions, extension to three-dimensional; Click here for more information..

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Equations of motion in rotating coordinate frames, Cartesian approximations, Density stratified flows and internal gravity waves, Taylor-Proudman theorem, Ekman layer, single and multiple layered shallow-water systems, Geostrophic adjustment and Thermal-wind balance, Potential vorticity, Poincare, Kelvin and Rossby waves, Kelvin-Helmholtz instability, Baroclinic instability, Wave-mean theory, 2D turbulence, Click here for more information..

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The primary objective of the course is to teach fundamentals of computational method for solving non-linear partial differential equations (PDE) primarily in complex geometry. The emphasis of the course is to teach CFD techniques for solving incompressible and compressible N-S equation in primitive variables, Click here for more information..

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Phase-change Thermo-physics, Equations of state, Phase diagrams, Phasestability and spinoidals, Interfacial tension, Free energy, Wetting and hysteresis. Click here for more information..

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Introduction, review of thermodynamics, adiabatic flame temperature, chemical equilibrium, chemical kinetics, steady-state approximation, partial equilibrium, mass transfer, conservation equations and transport properties, laminar premixed flame, flame speed, ignition, quenching, flammability limits and stability, laminar non-premixed flame, conserved scalar concept, estimation of flame height, burning rate for a single droplet, Click here for more information..

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The primary objective of the course is to teach fundamentals of turbulent flows, an important topic in fluid dynamics. The course coverage includes: Statistical representation of turbulent flows, energy cascade, Kolmogorov hypothesis, free shear and wall-bounded flows apart from introduction to turbulence modelling and experiments. Click here for more information..

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Introduction. Basic Considerations in Design. Modelling of Thermal Systems. Numerical Modelling and Simulation. Acceptable Design of a Thermal System: A Synthesis of Different Design Steps. Optmization. Special Topics. Click here for more information..

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Introduction, Details of an experimental setup, Static versus dynamic calibration, Design of experiments. Uncertainty analysis, Central limit theorem, Normal and Student’s-t distribution, Data outlier detection, Error propagation. Temporal response of probes and transducers, Measurement system model, zeroth, first, and second order systems, Probes and transducers, pressure transducers, pitot static tube, 5-hole probe, Hotwire anemometer, Laser Doppler velocimetry, Particle image velocimetry, Thermocouples, RTD, Thermister, Infrared thermography, Heat flux measurement, Interferometry, Schlieren and shadowgraph techniques, Click here for more information..

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Introduction to analytical tools for modeling, analysis and design of railway vehicles. Click here for more information..

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Dynamics

Syllabus:

Solidification: Introduction, Evolution of solid/liquid interface, Solidification transport phenomena and its mathematical modelling. Casting: Introduction, Solidification rates and microstructure in casting, Transport Phenomena in casting, Fluidity, Casting defects, Casting design, Case studies of selected casting processes, Advanced means to control casting structure, properties and defects. Joining: Introduction, Physics of welding. Advanced applications of solidification principles. Click here for more information..

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Prerequisites: TA202; ESO204A OR ME231A

 

Syllabus:

Click here for more information..

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Instructors permission

Syllabus:

Review of fundamentals of thermal transport in manufacturing: Introduction to the course, Steady and transient heat conduction, Convection and Radiation, Natural convection. Finite Volume based modelling of heat transfer in manufacturing and numerical implementation, Phase change - Enthalpy based algorithm for Melting/solidification, Two-phase mushy zone flows, Liquid- vapour phase change involved in manufacturing, Illustration using code. Case studies on modelling of thermal transport in manufacturing processes: Click here for more information..

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Additive Manufacturing ( AM) is a process of joining materials to make objects from 3D model data, usual y layer up on layer, as opposed to subtractive manufacturing methodologies, such as traditional machining. The basic principle of AM is that a model, initially generated using a three-dimensional Computer Aided Design (3D CAD) system, can be fabricated directly. AM technologies have significantly evolved over the last decade. Because of their potential to extensively transform the nature of manufacturing processes, e.g ., by enabling "Freedom of Design" several industries have been attracted by these technologies. Using AM, manufacturing of highly complex parts can be an economically viable alternative to convention al manufacturing technologies.Click here for more information..

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Introduction to stress and strain and need for experimental stress analysis. Localized measurement of deformation: Electrical resistance strain gages including bridge configurations and strain amplifiers used, optical displacement and strain sensors, LVDT and capacitance based sensors. Optical methods in strain analysis: Introduction to light, coherent light sources and coherence length of a light source, Interference, optical elements (lenses, prisms, beam splitters etc. used in optical setups); Click here for more information..

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Click here for more information..

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REV, Mass, momentum and energy transport, Darcy and Non-Darcy equations, equilibrium and nonequilibrium conditions, species transport, radioactive decay, equivalent thermal conductivity, viscosity, dispersion, Flow over a flat plate, flow past a cylinder, boundary-layers, reservoir problems, Field scale and stochastic modeling, Turbulent flow, compressible flow, Click here for more information..

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Review of FE techniques for linear elasticity; Review of continuum mechanics—kinematics, balance laws, stress measures, Clausius Duhem inequality, frame indifference, stress rates and constitutive equations; Introduction to directional derivatives, formulation of variational principles for nonlinear problems and linearisation; Click here for more information..

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Introduction to the Course and Some Applications of Difference Equations in Engineering, Preliminaries in linear algebra and analysis, Analogies between differential and difference equations, Elementary Difference Operations: the Difference and the Shift operators, The Difference and Summation Calculus, Linear difference equations, First order equations, Click here for more information..

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This course deals with how functions, derivatives, integrals, matrices and differential equations are evaluated as strings of numbers in the computer. It studies the speed of convergence of Taylor, Fourier, and other series expansions and their utility. Applications of these techniques in solving model engineering problems are included. Finally, Click here for more information..

Credits: 9

 

Credits: 9

 

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Syllabus:

Introduction; Channel Flow; Dissipation effect, Compliance of channel wall. Transport Laws; Boundary slip, Momentum accommodation coefficient, Thermal accommodation coefficient, Diffusion, Dispersion and Mixing; Surface Tension Dominated Flows; Thermo-capillary flows, Diffuso-capillary flows, Electrowetting, Charged Species Flow; Click here for more information..

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Combustion and Fuels: Combustion process in SI and CI engines, Petroleum based liquid fuels and refining; Liquid alternative fuels such as vegetable oils, biodiesel, and emulsified fuels, lubricating oils composition and effect of alternate fuels; Gaseous alternative fuels such as hydrogen, compressed natural gas, liquefied petroleum gas, dimethyl ether, and hythane; Click here for more information..

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Diesel Engine management: cylinder charge control systems, principles of diesel fuel injection, mixture distribution, diesel fuel injection systems, governors and control systems, discrete cylinder systems, single plunger fuel injection pumps, unit injector systems, and unit pump systems, common rail systems, injection nozzles, minimizing emissions inside the engine, electronic diesel control (EDC), electronic control unit (ECU); Click here for more information..

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The success of a product in the market depends on many factors. These include cost, reliability and time to market. With globalization, companies need to devise techniques in order to remain competitive in the current scenario. To this end, design and manufacturing operations no longer function in isolation but have to interact closely. Click here for more information..

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Prerequisites: TA 202 or equivalent

 

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Introduction to the Course and Some Applications of Difference Equations in Engineering, Preliminaries in linear algebra and analysis, Analogies between differential and difference equations, Elementary Difference Operations: the Difference and the Shift operators, The Difference and Summation Calculus, Linear difference equations, Click here for more information..

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Mathematical preliminaries; stress and strain; constitutive responses; physics of plasticity; application of plasticity theory for different materials; Formulation of rate-independent plasticity; maximum dissipation postulate; yield criteria; flow rules and hardening rules; uniqueness theorems; extremum principles in plasticity; limit analysis; shakedown theorems; plane problems in plasticity; Click here for more information..

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Overview and history, Discussion on inertial effects. Mathematical preliminaries. Basic linear elastodynamics, Waves in Periodic Structures, Causality Principle. One-dimensional Models. Static Cracks in a Linearly Elastic Body, Stress Intensity Factors and Crack Tip Singularity, Energy Release, General Crack System, Cohesive Zone Model. Click here for more information..

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Information such as energy and momentum is communicated through space and time via waves. Their study in elastic solids constitutes the subject of elastodynamics. This course presents the formulation and solution of elastodynamic problems in one, two and three dimensions. The notion of waveguides — structures that guide waves Click here for more information..

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Organization of animal cells; Structure and function of cell membrane; Role of fluid lipid bilayers in cell functionality; Experimental methods to study membranes; Self assembly of lipid bilayer, Brief review of differential geometry concepts; Development of elasticity models of membranes; Stable equilibrium shapes of red blood cells; Click here for more information..

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Inclusions and inhomogeneities in isotropic elastic solid; Volterra and Somigliana dislocations; disclinations; point defects; Force on a singularity; interaction between defects; the concept of eigenstrain; cracks; homogenisation and macroscopic properties; composite materials. Click here for more information..

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Some relevant definitions and results in the theory of differentiable manifolds, smooth vector fields, differential forms, (exterior) calculus (differentiation and integration using differential forms), differential equations and their associated flow maps, Symplectic manifolds; Brief review of Hamiltonian mechanics (Lagrange’s vs Hamilton’s Equations), Canonical Transformation, Click here for more information..

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Introduction to types of composites: metal matrix, ceramic matrix, polymer matrix and carbon-carbon composites; Characteristics of polymer matrices, Method of preparation of fibres (glass and carbon), characteristics of different types of fibers; Processing of fibre reinforced polymer matrix composites. Click here for more information..

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Fracture: Energy release rate, Linear elastic fracture mechanics: crack tip stress and deformation fields, Stress intensity factor (SIF) for plane and penny shaped crack, First order estimate of plastic zone using Irwin’s and Dugdale approach; Elasto-plastic fracture: HRR fields, J-integral and CTOD, Mixed mode fracture; Evaluation of SIF from experimental measurements, numerical simulations. Click here for more information..

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Fundamental Principles of Engine Design: Stages of Combustion, Combustion Equations, Heat of Combustion, Thermodynamic analysis of SI Engine combustion process: Thermo-Chemistry; Chemical Equilibrium, Equilibrium Combustion Products, Flame Propagation in Engines, Unburned and Burned Mixture States, In-cylinder Flow-Field Measurement: Click here for more information..

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Introduction: Applications of boiling and condensation. Difference between evaporation and boiling. Comparison of Nucleate and Convective (or Flow) boiling. Pool boiling: Nukiyama Experiment. Theory of vapour bubble formation: Homogeneous and Heterogeneous Nucleation. Bubble Growth Models. Mechanism of Critical Heat Flux (CHF). Various models and correlations. Pool Boiling of Binary Mixture. Click here for more information..

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Review of classical thermodynamics; introductory electrochemistry; principles of chemical and electrochemical kinetics; transport phenomena in electrochemical system, Classical thermodynamic analyses of fuel cell systems; analyses of fuel cell kinetics; quantification of fuel cell performance, Conservation and rate equations; Click here for more information..

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Introduction to Turbulence, review of turbulence models: RANS, LES, DNS, simple closure of chemical source terms, mixture fraction based modeling of turbulent nonpremixed combustion: flamelet model and CMC method, PDF and Monte Carlo methods, scalar mixing models, turbulent premixed flames, droplet and spray combustion. Click here for more information..

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This course will introduce the students to the basic fundamentals of optimization methods that can be used during a design process. Considering the computational aspect of the subject especially in higher dimensions, the course will involve significant amount of computational assignments and a term project in the general area of engineering optimization. Click here for more information..

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 10

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 10

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Overview of Vibration Control, Factors affecting level of vibration, Vibration reduction at the source, Vibration control by structural design, Selection of materials, Vibration control by additive damping, Dynamic Properties and Use of Viscoelastic Materials, Constrained Layer Damping, Dynamic vibration absorbers, Click here for more information..

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Introduction to Design, Generating Concepts, Concept Selection, Theory of Inventive Problem Solving, TRIZ, Analytical Methods of Engineering Design, Information, Entropy and it’s relation to Design, Axiomatic Design, One-FR Design, Multi-FR Design, Design of Systems, Product Design, Metric Design, Design for Click here for more information..

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Brief Review of Basic State Space Control, Controllability, Observability, Dual System, Time- Varying System, Solution to Linear time varying Equation, Solution to linear state equation – with Inputs, Full State Feedback Control, Introduction to Optimal Control, Linear Quadratic Regulator, State-Variable Feedback, Output Feedback, Coupled Nonlinear Design Equations, Linear Click here for more information..

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Introduction to Recent Manufacturing systems, Computer aided design, geometric modelling, concurrent engineering, Computer aided process planning, computer control manufacturing systems, Automated Material Handling and storage system, Robotic systems, Quality engineering, statistical process control and Click here for more information..

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Different types of joints, Types of Robots. Spatial transformation. Forward and inverse kinematics of serial manipulators. Singularity and manipulation ability. Actuators, sensors and robot programming in VAL II. Linear control of robotics systems . Applications, motion planning, grasping and industrial automation. Click here for more information..

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Review of robot manipulators. Manipulator kinematics (forward and inverse), Singular value decomposition and manipulation ability. Redundant manipulators, Euler-Lagrange/ Newton Euler dynamics of serial manipulators. Linear control , PD, PID control. Control of flexible joint robots. Singularity and workspace analysis. Introduction to manipulator design and optimization. Click here for more information..

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INTRODUCTION : Definition; Types of automation; Reasons for automating; Automation strategies. Click here for more information..

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Configuration spaces of mobile vehicles and manipulators, Geometric modelling and sensor based map building. Path planning and obstacle avoidance. Object manipulation and grasping. Design of user interfaces and simulation. Algorithms for assembly and biological aspects of motion and intelligence. Click here for more information..

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Overview of smart materials, Piezoelectric Ceramics, Piezo-polymers, Magnetostrictive Materials, Electroactive Polymers, Shape Memory Alloys, Electro and Magneto Rheological Fluids, Modelling of smart materials, introduction to composite smart materials, Mechanics of smart composite materials, Smart sensors based on high bandwidth low strain smart materials, Click here for more information..

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Fundamentals of systems, subsystems and integration of mechanical and electrical systems using computer based control. Basic signal processing, different types of sensors, actuators, controllers, DSP, , ADC/DAC etc. Modeling of electromechanical systems, block diagrams, etc. control system design. PLCs and introduction to industrial automation. Practical application of mechatronics, Click here for more information..

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Granular materials are the most industrially important materials after water. In nature, they are found as landslides and avalanches. Their constitutive response is not understood, and their description depends on the manner in which they move. This course develops continuum descriptions of rapidly flowing granular materials, Click here for more information..

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First course at the graduate level in engineering mathematics and continuum mechanics

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The contents are relevant for engineering post-graduate students as well as interested undergraduate level students (with instructor permission). This course would cover (a) Micro- system technology to realize various biologically inspired systems and materials (b) Micro- fluidic systems (c)Various aspects of processes and methods derived from the microelectronic industry to realize micro-systems Click here for more information..

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Engineering Mathematics

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This course aims at providing a set of powerful analytical tools for the solution of engineering problems. These methods are often necessary to obtain solutions to problems that are inaccessible to numerical computation, because of, e.g., large separation of time and length scales, or presence of singularities. Click here for more information..

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Basic course in calculus and exposure to linear second-order ordinary differential equations

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Elementary review of dynamic systems. Equations of motion. Numerical solution of ODEs. Linearization. Stability. Laplace transforms and inverse Laplace transforms. Block diagrams. Transfer functions. Feedback loops. Poles and zeros. Transient responses. Stability. The Routh‐Hurwitz criterion. Nonminimum phase systems and their transient responses. Click here for more information..

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