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.

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 – Power factor - Resonance in AC circuits.

Introduction To Magnetic Theory

Vectors, Statics, and Kinematics: introduction to vectors (linear independence, completeness, basis, dimensionality), inner products, orthogonality – principles of statics, system of forces in plane and space, conditions of equilibrium – displacement, derivatives of a vector, velocity, acceleration – kinematic equations – motion in plane polar coordinates.

Newtonian Mechanics: momentum, force, Newton’s laws, applications – conservation of momentum, impulse, center of mass.