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: 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: 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: 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: fluid pressure, hydrostatic forces, submerged surfaces, buoyancy, floatation, fluid kinematics, fluid dynamics, vortex flow, potential flow, ideal fluid flow, laminar flow, viscous flow, boundary layer theory, compressible flow, model similitude, free jets, fluid machines, pelton turbine, impulse turbine, francis turbine, radial flow reaction turbines, propeller, kaplan turbine, axial flow reaction turbines, hydraulic turbines, centrifugal pumps, reciprocation pumps, hydraulic systems, fluid continuum, fluid properties, specific weight, weight density, viscosity, perfect gas law, isobaric process, adiabatic process, surface tension, capillarity, capillary effect, vapour pressure, cavitation, pascal's law, hydrostatic law, Bouyant force, centre of buoyancy, archimedes principle, metacentre, metacentric height, cauchy-reimann equations, Euler's equation, Bernoulli's equation, continuity equation, orfices, hydraulic coefficients, uniform flow, source flow, sink flow, free vortex flow, notches, weirs, francis formula, bazin formula, rehbock formula, cipolletti weir, reynolds experiment, Navier-stoke equation, efflux viscometer, ogee weir, boundary layers, stagnation pressure, stagnation density, stagnation temperature, specific energy curve, critical depth, critical velocity, sub-critical flow, hydraulic jump, francis turbine, velocity triangle, draft tube, rotodynamic turbine

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

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

Topics: Single-Equation Regression Models, Regression Analysis.Two-Variable Regression Analysis, Two-Variable Regression Model, Classical Normal Linear Regression Model, Two-Variable Regression, Interval Estimation, Hypothesis Testing, Multiple Regression Analysis, Dummy Variable Regression Models, Multicollinearity, Heteroscedasticity, Autocorrelation, Econometric Modeling, Nonlinear Regression Model, Qualitative Response Regression Models, Panel Data Regression Models, Dynamic Econometric Models, Autoregressive Lag Models, Distributed-Lag Models, Simultaneous-Equation Models, Time Series Econometrics, Simultaneous-Equation Models, Identification Problem, Simultaneous-Equation Methods, Time Series Econometrics, Time Series Econometrics, Forecasting, econometrics

Topics: econometrics, Single-Equation Regression Models, Regression Analysis.Two-Variable Regression Analysis, Two-Variable Regression Model, Classical Normal Linear Regression Model, Two-Variable Regression, Interval Estimation, Hypothesis Testing, Multiple Regression Analysis, Dummy Variable Regression Models, Multicollinearity, Heteroscedasticity, Autocorrelation, Econometric Modeling, Nonlinear Regression Model, Qualitative Response Regression Models, Panel Data Regression Models, Dynamic Econometric Models, Autoregressive Lag Models, Distributed-Lag Models, Simultaneous-Equation Models, Time Series Econometrics, Simultaneous-Equation Models, Identification Problem, Simultaneous-Equation Methods, Time Series Econometrics, Time Series Econometrics, Forecasting