Equations of Motion: rigid body dynamics, coordinate transformation, Euler angle & quaternion formulation – Dynamics of Generic Fixed Wing Aircraft: 6-DoF equations of motion, linearized equations of motion, linearised longitudinal & lateral equations, aerodynamic derivatives – LTI sys- tem basics – Stability of Uncontrolled Motion: linearized longitudinal & lateral dynamics, modes of motion – Response to Control Inputs: transfer function, step response & frequency response charac- teristics – Feedback Control: stability augmentation, PID control, root-locus technique for contr

Aerodynamic forces and moments – review of governing equations – potential flows – Kutta condition – vortex theorems – thin airfoil theory – finite wing theory – panel methods – flow over delta wings – boundary layer theory – effect of pressure gradient – flow separation and stall – high-lift devices – structure of turbulent boundary layer – Reynolds averaging.

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.

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, Fi

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 iid

Integral Transforms: The Fourier transform pair - algebraic properties of Fourier transform – convolution, modulation, and translation – transforms of derivatives and derivatives of transform – inversion theory.

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.Basic stability and device stabilization techniques (BJT). Small signal low & high frequency models for (BJT, FET, MOSFET).

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.Complex Analysis: complex numbers and their geometrical representation – functions of complex variable – limit, continuity and derivative of functions of complex variable – analytical functions and applications – harmonic functions – t