Topics: number system, binary number system, octal number system, hexadecimal number system, binary addition, binary subtraction, signed numbers, complement representation, binary multiplication, floating point representation, binary codes, binary coded decimal numbers, weighted codes, self implementing codes, cyclic codes, gray code, error detecting codes, error correcting code, Hamming code, BCD addition, alphanumeric codes, Boolean algebra, logic gates, duality principle, Venn diagram, truth table, Karnaugh map, Quine – McCluskey Method, combinational switching circuits, combinational circuits, half adder, full adder, parallel binary adder, 8421 adder, BCD adder, subtractor, multiplexers, demultiplexers, code converter, encoders, priority encoder, magnitude comparator, parity generator, parity checker, programmable logic devices, Field Programmable Logic Array, Programmable Array Logic, Programmable Read Only Memory, Direct Coupled Transistor Logic, Integrated Injection Logic, transistor transistor logic, CMOS Logic, Flip flop, shift registers, counter, Asynchronous Counters, counter ICs, Digital to Analog Converter, Analog to Digital Converter, digital memory, semiconductor memory, read only memory, random access memory, magnetic memory, magnetic bubble memories, charged coupled devices, compact disk read only memory

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: Machine Arithmetic, Real Numbers, Machine Numbers, Rounding, Condition Numbers, Approximation, Interpolation, Least Squares Approximation, Polynomial Interpolation, Spline Functions, Numerical Differentiation, Numerical Integration, Nonlinear Equations, Iteration, Convergence, Efficiency, Method of False Position, Secant Method, Newton’s Method, Fixed Point Iteration, Algebraic Equations, Systems of Nonlinear Equations, Initial Value Problems for ODE, One-Step Methods, Numerical Methods, Euler’s Method, Taylor Expansion, Runge–Kutta Method, Error Monitoring, Step Control, Stiff Problems, Multistep Methods, Adams–Bashforth Method, Adams–Moulton Method, Predictor–Corrector Method, Two-Point Boundary Value Problems for ODEs, Initial Value Technique, Finite Difference Methods, Variational Methods

Topics: Basic arithmetic, Fraction, decimal, percentage, ratio proportion, power, roots, indices, units, algebra, transposing formulae, simultaneous equations, quadratic equation, Logarithms, exponential function, straight line graph, logarithmic scales, angles, triangles, trignometry, trignometric wave forms, cartesion co-ordinate, polar co-ordinate, circle, volume, surface area, vector, probability, differentiation, integration, number sequence, binary, octal, inequality, Direct proportion, Inverse proportion, Standard form, Engineering notation, Metric conversion, Basic operations, Factorisation, Laws of precedence

Topics: Numerical Analysis, errors, algebraic equations, transcendental equations, finite differences, interpolation, central difference interpolation formulae, inverse interpolation, numerical differentiation, numerical integration, curve fitting, Eigen values, Eigen vectors, Regression analysis

Topics: Graph, equation, multivariable function, exponential function, logarithmic function, matrix algebra, matrix inversion, comparative statics, concave programming, integral calculus, indefinite integral, definite integral, first order differential equation, first order difference equation, simultaenous equation, difference equation, optimal control theory

Topics: Computer Science, computer Programming, computer, computer networks, number systems, base operations, base complements, Boolean algebra, algorithms, pseudo codes, flowchart, Visual basic programming language, programming language

Topics: Number, algebra, area, volume, trignometry, graph, complex number, vector, statistics, differential calculus, integral calculus, differential equation, irregular area, Trigonometric waveforms, Cartesian co-ordinates, polar co-ordinates, compund angles, straight line graphs, De Moivre’s theorem, mean, median, mode, standard deviation, probability, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Maclaurin’s series, implicit functions, Logarithmic differentiation, Standard integration, Integration by parts, partial fraction, Numerical integration, Mean square value, root mean square value, centroid

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: Mathematical economics, economic models, equilibrium analysis, market equilibrium, linear models, matrix algebra, matrices, vectors, matrix operations, cramers's rule, comparative-static analysis, limit theorem, partial differentiation, exponential function, logarithmic functions, optimization, maclaurin series, taylor series, homogenous function, duality, envelope theorem, Nonlinear programming, Kuhn-Tucker conditions, constraint qualification, economic dynamics, integral calculus, definite integrals, domar growth model, solow growth model, first-order differential equation, exact differential equation, first-order difference equation, cobweb model, optimal control theory, dynamic input-output models, simultaenous differential equation