Electricity: curvilinear coordinates – conservative vector fields and their potential functions –Gauss’ theorem, Stokes’ theorem – physical applications in electrostatics – electrostatic po-tential and field due to discrete and continuous charge distributions – dipole and quadrupole moments – energy density in an electric field – dielectric polarization – conductors and capaci-tors – electric displacement vector – dielectric susceptibility.

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.

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 co

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.