Topics: Engineering materials, metals, ceramic, glasses, polymers, elastomers, atomic structure, atomic bonding, Bohr theory, Quantum Numbers, Wave-Mechanical Model, Crystal Structure, crystal defect, semiconductors, electrical conduction, Intrinsic Semiconduction, Extrinsic Semiconduction, Hot-working Processes, Hot-rolling, forging, drop-forging, Hot-pressing, extrusion, Cold-pressing, Deep-drawing, coining, spinning, Annealing, Normalising, Hardening, Case Hardening, Carburizing, Nitriding, Flame Hardening, Cyaniding, tempering

Topics: electronic configuration, atomic orbitals, orbital diagram, Aufbau principle, Hund's rule, shielding effect, effective nuclear charge, diamagnetism, paramagnetism, Bohr's theory, Bohr model, correspondence principle, De broglie wavelength, De broglie equations, uncertainty principle, hydrogen atom, Schrodinger equation, classical praticles, quantum particles, Quantum numbers, Azimuthal Quantum Number, principal Quantum Number, Spin Projection Quantum Number, Pauli Exclusion Principle, Exclusion Principle, Physical Phenomena, covalent bonds, covalent compounds, Ionic Compounds, Hybridization, Pi bond formation, Pi bond, ethylene bonding

Topics: Frequency space, Complex numbers, Euler's formula, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, Fourier Descriptor, Fourier Descriptor

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: engineering functions, trigonometric functions, coordinate systems, discrete mathematics, sequences, series, vectors, matrix algebra, complex numbers, differentiation, integration, numerical integration, taylor polynomials, taylor series, maclaurin series, Laplace transform, z transform, Fourier series, Fourier transform, vector calculus, line integrals, multiple integrals, probability, statistics

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: Engineering Mathematics, Algebra, power, logarithms, polynomials, linear equations, polynomial equations, binomials, binomial expansions, sigma notation, factorials, combinations, partial fractions, trigonometry, Trigonometric identities, Trigonometric functions, exponential functions, differentiation, Newton–Raphson iterative method, integration, complex numbers, hyperbolic functions, determinants, matrices, eigenvalues, eigenvectors, Cayley–Hamilton theorem, vector, vector representation, sequences, infinite series, curves, curve fitting, Asymptotes, Systematic curve sketching, Correlation, partial differentiation, reduction formulas, approximate integration, integration application polar coordinate systems, multiple integrals, first-order differential equations, homogenous equations, Laplace transform, probability, Conditional probability, Probability distributions, Continuous probability distributions

Topics: set theory, Mathematical Induction, Binomial Theorem, Real Sequences, Series, Arithmetic Progression, Geometric Progression, Quadratic Equation, Remainder, Factor Theorem, Complex Numbers, Trigonometrical Identities

Topics: Algebra, Polynomials, Polynomial Equations, Inequalities, Rational Functions, Curve Sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, complex numbers, matrix, linear equations, determinants, Cramer's rule, sets

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations