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: power system studies, line constants, power flow analysis, short circuit studies, TRANSIENT STABILITY ANALYSIS, MOTOR STARTING STUDIES, POWER FACTOR CORRECTION STUDIES, HARMONIC ANALYSIS, FLICKER ANALYSIS, INSULATION COORDINATION, CABLE AMPACITY ANALYSIS, GROUND GRID ANALYSIS, LIGHTNING SURGE ANALYSIS, EMF STUDIES, DATA ACQUISITION SYSTEMS, RELAY COORDINATION STUDIES

Topics: Simple harmonic motion, simple mechanisms, friction, belt, rope, chain drives, Toothed gearing, gear trains, Gyroscopic couple, precessional motion, flywheel, steam engine valves, reversing gears, governors, brakes, dynamometers, cams, rotating masses, reciprocating masses, longitudinal vibration, transverse vibration, torsional vibration, computer aided analysis, Automatic control

Topics: Algebra, partial fraction, logarithm, exponential function, inequality, arithmetic progression, geometric progression, binomial series, Maclaurin's series, iterative method, binary, octal, hexadecimal, boolean algebra, logic circuits, trigonometry, circle, Trigonometric waveforms, hyperbolic functions, Trigonometric identities, Trigonometric equation, compound angles, irregular area, irregular volume, graph, complex numbers, De Moivre’s theorem, matrix, determinant, vector geometry, vector, scalar product, vector product, differentiation, calculus, integration, differential equation, parametric equations, implicit functions, Logarithmic differentiation, hyperbolic functions, Partial differentiation, Total differential, rate of change, Maxima, minima, saddle point, integral calculus, hyperbolic substitution, trignometric substitution, Integration by parts, Reduction formulae, double integrals, triple integrals, Numerical integration, Homogeneous first-order differential equation, first-order differential equation, differential calculus, Linear first-order differential equation, Numerical methods, power series, Statistics, probability, Mean, median, mode, standard deviation, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Significance testing, Chi-square test, distribution-free test, Laplace transform, Inverse Laplace transform, Heaviside function, Fourier series, periodic functions, non-periodic function, even function, odd function, half-range fourier series, harmonic analysis, Z-Transform

Topics: Mathematical methods, domain, range, limits, continuity, partial derivatives, chain rule, gradient, jacobian, implicit differentiation, normal derivative, total differentiation, exact equations, laplace equation, harmonic functions, arbitrary functions, extreme value problems, infinite sequence, infinite series, convergence, divergence, Cauchy ratio test

Topics: Experimental physics, Acceleration due to gravity, free oscillation, damped mechanical system, forced oscillation, simple harmonic motion, stoke's method, Young's modulus

Topics: engineering mechanics, resolution of forces, moments, parallel forces, couples, equilibrium of forces, center of gravity, centroid, moment of inertia, friction, static friction, limiting friction, lifting machines, support reactions, loading, concentrated load, point load, beams, loads, string, virtual work, linear motion, velocity, acceleration, relative velocity, projectiles, simple harmonic motion, laws of motion, helical springs, pendulums, elastic bodies, rotating masses, work, power, energy, hydrostatics

Topics: space, time, kinematics, scalar, vectors, vector operations, speed, velocity, acceleration, rectilinear motion, circular motion, dynamics, inertia mass, weight, force friction, incline plane, linear momentum, statics, work, enrgy, gravitation, weightlessness, Kepler's law, rotational dynamics, angular momentum, oscillatory motion, simple harmonic motion, damped oscillation, forced oscillation

Topics: wave propagation, sound wave, resonance, Doppler effect, harmonic