Engineering Course Descriptions

Undergradute Level

Fundamentals of Electrical Circuits I

Passive DC circuit elements; Kirchhoff’s laws; Electric Power calculations; Analysis of DC circuits, Nodal and Loop analysis techniques; Voltage and current division, Thevenin’s and Norton’s theorems; Source free and forced responses of RL, RC and RLC circuits.

Fundamentals of Electrical Circuits II

Sinusoidal Steady-State response; Complex voltage and current and the Phasor concept, Impedance, Admittance; Average, apparent and reactive Power; Poly-Phase circuits; Node and mesh analysis for AC circuits; Use of MATLAB for solving circuit equations; Frequency response; Parallel and Series Resonance; Operational Amplifier circuits.

Fundamentals of Electronics I

Circuit models and frequency response of amplifiers; Op-amps, difference amplifier, voltage-to-current converter, slew rate, full-power bandwidth, common-mode rejection, frequency response of closed loop amplifier, gain-bandwidth product rule; Diodes, limiters, clamps, semiconductor physics; Bipolar Junction Transistors, small-signal models, cut-off, saturation and active regions, common emitter, common base, and emitter follower amplifier configurations; Field-Effect Transistors (MOSFET and JFET), biasing, small-signal models, common-source and common-gate amplifiers, integrated-circuit MOS amplifiers.

Fundamentals of Electronics II

Differential and Multistage Amplifier, Current Mirrors, Current Sources, Active loads; Frequency response of MOSFET, JFET and BJT amplifiers: Bode plots; Feedback amplifiers, Gain-Bandwidth rule, effect of feedback on frequency response; Class A, B, and AB output stages; Op-amp analog integrated circuits; Piecewise-Linear Transient Response; Determination of State of Transistors; Wave shaping circuits; MOS and bipolar digital design: Noise margin, fan-out, propagation delay; CMOS, TTL, ECL.

Signals and Systems

Linear System Theory for Analog and Digital systems; Linearity, Causality, Time Invariance. Impulse response, Convolution, Stability; The Laplace and Z - transforms and applications to Linear Time Invariant (LTI) systems; Frequency response, Analog and Digital Filter design; Fourier Series, Fourier Transforms, the Sampling Theorem.

Feedback Control Systems

Introduction to Analysis and Design of Linear Feedback Control systems; Modeling of Physical Systems, Performance Specifications, Sensitivity and Steady-State error, Routh-Hurwitz and Nyquist Stability tests; The use of Root Locus and Frequency-Response techniques to analyze system performance, and design compensation (lead/lag and PID controllers) to meet performance specifications.

Electro-Magnetic Waves

Electromagnetic Wave Propagation in free space and in Dielectrics is studied starting from a consideration of distributed Inductance and Capacitance on Transmission lines; Electromagnetic Plane Waves are obtained as a special case; Reflection and Transmission at Discontinuities is discussed for pulsed sources, while impedance transformation and matching are presented for harmonic time dependence; Snell`s law and the Reflection and Transmission Coefficients at dielectric interfaces are derived for obliquely propagation plane waves; Guiding of waves by dielectrics and by metal waveguides is demonstrated.

Introduction to Programming

An Introduction to Computer Programming and problem solving; General topics covered include the fundamentals of programming, good software development practices and solving problems using computer programming; Specific topics include compiling, running and debugging a program, program testing, documentation, variables and data types, assignments, arithmetic expressions, input and output, top-down design and procedures, the random number generator, conditionals and loops functions, arrays, and an introduction to classes and object oriented programming.

Digital Logic and State Machine Design

Combinational and Sequential digital circuits; An Introduction to Digital systems; Number Systems and Binary Arithmetic; Switching Algebra and Logic design; Error Detection and Correction; Combinational integrated circuits, including adders; Timing hazards; Sequential circuits, flip-flops, state diagrams and synchronous machine synthesis; Programmable Logic Devices, PLA, PAL and FPGA; Finite state machine design; Memory elements.

Dynamics

Three-Dimensional treatment of the Kinematics of particles and rigid bodies using various coordinate systems; Newton's laws, Work, Energy, Impulse, Momentum, Conservative Force Fields, Impact; Rotation and Plane motion of Rigid Bodies.

Graduate Level

Sensor Based Robotics

Robot Mechanisms, Robot arm Kinematics (direct and inverse kinematics), Robot Arm Dynamics (Euler-Lagrange, Newton-Euler, and Hamiltonian Formulations), Six DOF rigid body kinematics and dynamics, Quaternion, Nonholonomic systems, Trajectory planning, various sensors and actuators for robotic applications, End-Effector mechanisms, Force and Moment analysis, Introduction to Control of Robotic Manipulators.

Applied Matrix Theory

In-depth introduction to theory and application of linear operators and matrices in finite-dimensional vector space; Determinants, Eigen values and eigenvectors; Theory of Linear Equations; Canonical forms and Jordan Canonical form; Matrix analysis of Differential and Difference equations; Singular value decomposition; Variational Principles and Perturbation Theory; Numerical methods.

Linear Systems

Basic System concepts. Equations describing Continuous and Discrete-time Linear Systems; Time domain analysis, State Variables, Transition Matrix and Impulse Response; Transform Methods; Time-variable systems; Controllability, Observability and stability; SISO pole placement, observer design. Sampled data systems.

System Optimization Methods

Formulations of System Optimization problems; Elements of Functional Analysis Applied to System Optimization; Local and Global system optimization with and without constraints; Variational methods, calculus of variations, and linear, nonlinear and dynamic programming iterative methods; Examples and applications; Newton and Lagrange multiplier algorithms, convergence analysis.

System Theory and Feedback Control

Design of Single-Input-Output and Multivariable Systems in Frequency domain; Stability of interconnected systems from component transfer functions; Parameterization of stabilizing controllers; Introduction to optimization (Wiener-Hopf design).

State Space Design for Linear Control Systems

Topics to be covered include canonical forms; control system design objectives; feedback system design by MIMO pole placement; MIMO linear observers; the separation principle; linear quadratic optimum control; random processes; Kalman filters as optimum observers; the separation theorem; LQG; Sampled-data systems; microprocessor-based digital control; robust control. and the servo-compensator problem.

Applied Non-Linear Control Theory

Stability and stabilization for Nonlinear systems; Lyapunov stability and functions, input-output stability, and control Lyapunov functions. Differential geometric approaches for analysis and control of nonlinear systems: controllability, Observability, feedback linearization, normal form, inverse dynamics, stabilization, tracking, and disturbance attenuation. Analytical approaches: recursive Backstepping, input-to-state stability, nonlinear small-gain methods, and passivity. Output feedback designs. Various application examples for nonlinear systems including robotic and communication systems.

Introduction to Electrical Power Systems

Basic concepts: Single and Three-Phase circuits, Power triangle; Transmission lines parameters: Resistance, Inductance, Capacitance, Transformers, and Generators; Lumped-component pi-equivalent circuit representation; Per-Unit Normalization; symmetrical phase components; load-flow program.

Digital Signal Processing

Properties and applications of the discrete Fourier transform and FFT; Frequency measurement; Properties and design of linear--phase FIR digital filters by windowing, least-squares, and Minimax criterion; Spectral factorization and design of minimum--phase FIR filters; Design of recursive digital filters; Short--time Fourier transform; Finite precision effects; Multi-rate systems; Basic Spectral Estimation; Basic adaptive filtering (LMS algorithm); Computer-based exercises will be given regularly.

Mechatronics

Introduction to Theoretical and Applied Mechatronics, design and operation of Mechatronics systems; Mechanical, Electrical, Electronic, and Opto-electronic components; Sensors and Actuators including signal conditioning and Power Electronics; Microcontrollers--fundamentals, Programming, and Interfacing; and Feedback control. Includes structured and term projects in the design and development of proto-type integrated Mechatronic systems.

Apart from these also Softwares like MATLAB, Simulink, PSpice, Cadence, Synopsis, Mathematica, PBasic, MS Office etc.

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