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: Discrete mathematics, logic, sets, functions, sequences, matrices, algorithms, Number theory, cryptography, induction, recursion, counting, discrete probability, advanced counting techniques, counting techniques, Linear Recurrence Relations, modelling computation, Finite-State Machines, relations, graphs, trees, boolean algebra, modelling computation, Boolean Functions, Logic Gates, Minimization of Circuits.Tree Traversal, Spanning Trees, Minimum Spanning Trees, Graph Models, Graph Terminology, Graph Isomorphism, Connectivity, Euler path, Hamilton Path, Shortest-Path Problems, Planar Graphs, Graph Coloring, Representing Relations, Equivalence Relations, Probability Theory, Bayes Theorem, variance, Pigeonhole Principle, permutation combination, binomial coefficient, Recursive Algorithms, Program Correctness, Divisibility, Modular Arithmetic, Integer Representations, Set Operations, Cardinality of Sets

Topics: English phonology, phonetics, phonology, English vowels, English Monophthongs, English Diphthongs, English triphthongs, English consonants, plosives, affricates, fricatives, English Sound Change, English phonemes, generative phonology, Distinctive features Matrix, syllable structure, syllable strength, English phonotactics, English stress, English intonation, Articulatory Phonetics, Acoustic Phonetics, Auditory Phonetics, Segmental Phonemes, Pure Vowel Numbers, Closing Diphthongs, Centering Diphthongs, Bilabial Plosive, Alveolar Plosive, velar plosive, Glottal Plosive, Affricate Sounds, Palato-alveolar Affricate, Labio-dental Fricative, Dental Fricative, Alveolar Fricatives, Palato-alveolar Fricatives, Glottal Fricative, Nasal Sounds, English Minimal Pairs, English Allophones, Phonetic Representation, Phonological Rules, Sonorant

Topics: Data representation, computer, Number systems, data storage, file compression, Data transmission, error detection, symmetric encryption, asymmetric encryption, Hardware, computer architecture, input devices, output devices, network hardware, software, programming language, translators, internet, digital currency, cyber security, automated systems, robotics, artificial intelligence, Algorithm design, problem solving, program development life cycle, computer systems, computer decomposition, test data, identifying errors in algorithm, writing algorithms, amending algorithms, programming, arrays, file handling, Database, Boolean logic, standard logic gate symbols, logic circuits, logic expression, truth tables, problem statements

Topics: Complex analysis, Complex Numbers, Argand Diagram, Roots of Complex Numbers, Roots of Unity

Topics: Set theory, real numbers, comples numbers, rational function, partial fractions, binomial expansion, sequence, series, matrix, trignonometry, differentiation, integration

Topics: real numbers, rule of algebra, limits, continuity, derivatives, differentiation formula, Taylor series, Partial derivatives, maxima, minima, Lagrange multiplier, complex numbers, ordinary differential equations, linear differential equations, operator notation, linear operators, linear dependence, Wronskians, Laplace transforms, vector analysis, vector algebra, Jacobians, Orthogonal curvilinear coordinates, Fourier series, Dirichlet conditions, orthogonal functions, Fourier integrals, Fourier transforms, Gamma function, beta function, error function, exponential integral, sine integral, cosine integral, Fresnel sine Integral, Fresnel cosine Integral, Bessel function, Legendre functions, Legendre differential equation, Hermite polynomials, Laguerre polynomial, sturm-Liouville systems, heat conduction equation, vibrating string equation, complex variables, conformal mapping, Cauchy-Riemann equations, Cauchy's theorem, Laurent's series, conformal mapping, complex inversion formula, matrices, Cramer's rule, determinants, Euler's equation, Hamilton's principle

Topics: Scope of Statistics, statistical data, data types, scale of measurements, data collection, survey sampling techniques, Data presentation, Bar Charts, Histogram, polygons, graphs, Errors, approximation, Frequency, relative frequency, cumulative frequency distributions, Measure of location, Measure of dispersion, Skewness, Kurtosis, Rates, Ratios, index numbers, weight quantity, Rates, Ratio, index numbers

Topics: Real Numbers, Mathematical Induction, Mathematical Conventions, Complex Numbers, Taylor Theorem, Maclaurin Theorem, Vectors, Vector Spaces, Matrices, linear equation, Echelon, Eigen, Differential equations, fourier series, Laplace transform, vector calculus, complex analysis, bernoulli, riccati, cauchy-euler, Gamma function, frobenieus method, bessel function, Fourier integrals, Fourier transform, Vector Differential Calculus, Vector Integral Calculus, analytic functions, complex intergration, laurent series

Topics: set theory, number system, indices, surd, logarithm, mathematical induction, binomial theorem, Arithmetic progression, geometric progression, quadratic equation, complex number, trigonometry