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: 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

Topics: Mathematics for Managers, Statistics for Managers, Number System, Analysis of Correlation, Analysis of Regression, Measures of Dispersion, Measures of Central Tendency, Analysis of Progressions, Quadratic Equation, Simultaneous Linear Equation, Linear Equation, Analysis of Variation, Statistical Analysis, Statistical Data Collection, Equation System

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: Size Reduction, Screening Operation, Filtration, Vacuum Filters, Centrifugal Filtration, Mixing, Fluids, Bernoulli Equation, Newtonian Fluids, Friction Factor Chart, Friction Losses, Centrifugal Pumps, Unit Operation, Unit Operation, Fluid flow, mechanical operations

Topics: Mechanics, Young’s Modulus, shear modulus, shear stress, bulk modulus, fluid dynamics, Hydrostatics, Hydrodynamics, Pascal’s Law, Bernoulli’s equation