Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

Topics: Electric current, Ohm's Law, Network theorems, work, power, energy, electrostatics, capacitance, magnetism, electromagnetism, electromagnetic induction, magnetic hysteresis, electrochemical power sources, electrical instruments and measurements, A.C fundamentals, Complex numbers, Series A.C circuits, parallel A.C circuits, A.C network analysis, A.C bridges, A.C filter networks, circle diagrams, polyphase circuits, harmonics, Fourier series, transients, symmetrical components

Topics: Motion, Probability, Gravitation, Dynamics, Momentum, Vector, force, work, Potential Energy, Relativistic Energy, space-time, enter of Mass, Moment of Inertia, Harmonic Oscillator, torque, algebra, resonance, transient, linear system, optics, electromagnetic radiation, interference, Diffraction, Refractive Index, Radiation Damping, Light Scattering, Polarization, color vision, quantum behavior, Brownian Movement, diffusion, Thermodynamics, ratchet, pawl, sound, beat, mode, harmonics, wave