Introduction to Computer Networks: Network Topology, Layered Protocol Stack, Point-to-point and broadcast communications, LAN, WAN, MAN, and the Internet.
Delay analysis in circuit switching, message switching, and packet switching. Queuing models.
Application Layer Protocols: Domain Name System, Hyper Text Transfer Protocol (HTTP), File Transfer Protocol (FTP), SMTP/E-mail Applications, Voice over IP, and P2P protocols.
Discrete time signals and systems, Properties of LTI Systems, DTFT, Z-T/F; Minimum phase-All pass decomposition, Generalized linear phase; DFS, Frequency sampling and Time aliasing, DFT, Periodic & Circular convolutions; FFT computations using DIT and DIF algorithms; Infinite Impulse Response Digital Filter design: Impulse invariant and Bilinear transformation approaches, Finite Impulse Response Digital filter design: Windowing and Optimal Equiv.-ripple filter design; Filter structures and realization: Signal flow graph representation, Direct form I & II, Cascade and Parallel forms,
Probability Theory: Elementary concepts on probability – axiomatic definition of probability –conditional probability – Bayes’ theorem – random variables – standard discrete and continuous distributions – moments of random variables – moment generating functions – multivariate randomvariables – joint distributions of random variables – conditional and marginal distributions – conditional expectation – distributions of functions of random variables – t and χ2 distributions – Schwartz and Chebyshev inequalities – weak law of large numbers for finite variance case – central limit theorem for i
Integral Transforms: The Fourier transform pair - algebraic properties of Fourier transform – convolution, modulation, and translation – transforms of derivatives and derivatives of transform – inversion theory. Laplace transforms of elementary functions – inverse Laplace transforms – linearity property – first and second shifting theorem – Laplace transforms of derivatives and integrals – Laplace transform of Dirac delta function – applications of Laplace transform in solving ordinary differential equations.
Basic stability and device stabilization techniques (BJT). Small signal low & high frequency models for (BJT, FET, MOSFET), Large signal amplifiers, Differential Amplifier, Instrumental amplifiers, Integrated circuits, Tuned amplifiers, Feedback amplifiers, Oscillators, Multivibrators, Wave shaping circuits, Filter design.
Linear Algebra: matrices; solution space of system of equations Ax=b, eigenvalues and eigenvectors, Cayley-Hamilton theorem – vector spaces over real field, subspaces, linear dependence,independence, basis, dimension – inner product – Gram-Schmidt orthogonalization process – linear transformation; null space and nullity, range and rank of a linear transformation.
Advanced Propulsion and Laser Diagnostics (APLD) Facility is setup with an objective to perform propulsion research studies through laser diagnostic techniques. The laboratory have the capability to perform PIV and PLIF measurements, and is equipped with: (i) Double Pulsed Nd-YAG PIV Laser , (ii) Precision Dye Laser, (iii) Intensified CCD Camera, (iv) PIV CCD Camera (v) High Resolution Wavemeter (vi) Optical Tables, (vii) Optical Components and (viii) High Speed DAQ System.
Semiconductor fundamentals, crystal structure, concept of effective-mass, Fermi level, energy‐band diagram, concept of holes, intrinsic and extrinsic semiconductors, carrier concentration, carrier transport, scattering and drift of electrons and holes, drift and diffusion, generation and recombination, quasi-Fermi levels.
Semiconductor junctions, Physical description of p‐n junction, p-n junction under forward and reverse bias, current – voltage characteristics and temperature dependence, tunneling current and tunnel diode, small signal ac analysis.
Vector Calculus: scalar and vector fields – level surfaces – directional derivatives, gradient, curl, divergence – Laplacian – line and surface integrals – theorems of Green, Gauss, and Stokes.
Sequences and Series of Functions: complex sequences – sequences of functions – uniform convergence of series – test for convergence – uniform convergence for series of functions.
DC Circuit Analysis: Network Theorems - Thevenin’s theorem, Norton’s theorem, Superposition theorem, Maximum power transfer theorem.
AC Circuit Analysis: Basic concepts of AC circuits – RMS value and average value – Behavior of resistor, capacitor, and inductor in AC circuits – Sinusoidal steady-state analysis of AC circuits – Power factor - Resonance in AC circuits. Introduction To Magnetic Theory.
Diode: Clipping, clamping circuits, applications in rectifiers and power supplies.