Fundamental of communication systems, signals and information, system block diagram, performance metrics and data rate limits. Review of Fourier series and Transforms – Energy/Power Spectral Density.

Scattering matrix parameters, Transmission matrix, Signal flow graph, Impedance matching, Single and double stub tuning, problems. Microwave wave-guide and planar-based passive devices, Microwave resonators, Power dividers, directional couplers, and filters, Isolator, Circulator, phase shifter, Microwave signal generators: Klystron, magnetron, and TWT. Microwave systems design, Microwave Amplifier design, Gain and stability, Oscillator design, Broadband systems, noise figure, and link budget.

Introduction to computer organization: Structure and function of a computer - Processing unit: Characteristics of CISC and RISC processors - Performance of a processing unit.

Industrial Management: Development of Management thought-Management Functions – planning – organizing – power and authority-organization structures – span of control – delegation, leadership, directing and controlling-management by objectives-forecasting models.

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 random variables – 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

Overview of aerodynamics, propulsion, atmosphere and aircraft instrumentation – aircraft performance: gliding, cruise and climbing flight, optimal cruise trajectories, take-off and landing, V-n diagrams – stability and control: static longitudinal, directional and lateral stability and control, stick fixed and stick free stability, hinge moments, trim-tabs, aerodynamic balancing – effect of manoeuvres – stability control and performance characteristics of sounding rockets and launch vehicles.

Governing equations – quasi-one-dimensional flows – acoustic waves and waves of finite ampli- tude – normal shocks – R-H equations – shock tube problem – oblique shocks – Prandtl-Meyer expansion – wave drag – reflection and interaction of waves – conical flows – flows with friction and heat transfer – linearized potential flow and its applications – transonic flows.

Preliminary concepts, probability theory, introduction to central limit theorem, random walk problem, quasi-static process,thermal and mechanical interactions, laws of thermodynamics, thermodynamic potentials. Statistical description of a system of particles,microstates, concept of ensembles, basic postulates, phase space, Liouville's theorem, microcanonical, canonical and grand canonical ensembles. Partition functions. Chemical potential,free energy and connection with thermodynamic variables. Equivalence of ensembles. Ideal gas,Gibbs paradox, M-B gas velocity distribution.

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 random variables – 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

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