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: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

Topics: statistics, econometrics, Descriptive Statistics, Frequency Distributions, Measures of Central Tendency, Measures of Dispersion, Probability, Probability Distributions, Discrete Probability Distributions, Binomial Distribution, Poisson Distribution, Continuous Probability Distributions, The Normal Distribution, Statistical Inference, Estimation, Sampling, Sampling Distribution, Statistical Inference, Testing Hypothesis, Analysis of Variance, Chi-Square Test, Nonparametric Testing, Simple Regression Analysis, Two-Variable Linear Model, Ordinary Least-Squares Method, Ordinary Least-Squares Estimators, Multiple Regression Analysis, Three-Variable Linear Model, Coefficient of Multiple Determination, Partial-Correlation Coefficients, Matrix Notation, Functional Form, Regression Analysis, Dummy Variables, Distributed Lag Models, Forecasting, Binary Choice Models, Multicollinearity, Heteroscedasticity, Autocorrelation, Simultaneous-Equations Methods, Time-Series Methods, ARMA

Topics: Quantitative Decision Making, Quantitative Techniques, data collection, statistical methods, Quantitative Methods.Arranging Data, published data, unplublished data, primary data, Data Presentation Devices, Frequency Distribution, graphs, histogram, frequency polygon, frequency curve, Cumulative Frequency Distribution, Skewness, Kurtosis, Measures of Central Tendency, Arithmetic Mean, median, quantile, mode, variation, range, mean deviation, average deviation, standard deviation, variance, Bienayme–Chebyshev Rule, Probability Theory, Probability, Probability Rules, Conditional Probability, Set Theory, Venn Diagram, Statistical Decision Theory, Decision Theory, determinants, Business Decision Theory, Stochastic Business Situation, Linear Programming, Linear Programming Problem, Sampling Theory, Sampling Methods, sampling, Simple Random Sampling, Stratified Random Sampling, Systematic Random Sampling, Quasi-Random Sampling, Interval Sampling, Cluster Sampling, Multi-Stage Random Sampling, area sampling, quota sampling, error, Hypothesis Testing, Probability Distributions, Binomial Distribution, Poisson Distribution, Normal Probability Distribution, t-Test, Chi-Square Test, Business Forecasting, Correlation Analysis.Correlation, Regression Analysis, Regression, Least-Squares Method, Standard Error of Estimate, Multiple Regressions, Time Series Analysis, Seasonal Variations, Cyclical Variations, business cycle, Irregular Variations, Random Movements, Unpredictable Movements, Erratic Variations, Accidental Variations, Research Methodology, Research Approach

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: 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: Applied Statistics, Probability, collecting engineering data, sample spaces, event, counting techniques, conditional probability, Baye's theorem, Random variables, discrete random variables, probability distributions, probability mass functions, cumulative distribution functions, Discrete Uniform Distribution, binomial distribution, Hypergeometric Distribution, Poisson Distribution, probability density functions, continuous uniform distribution, Normal distribution, Erlang distributions, Weibull distribution, Lognormal distribution, joint probability distributions, covariance, correlation, probability plots, descriptive statistics, point estimation, statistical inference, multiple linear regression, multiple linear regression model, simple linear regression, analysis of variance

Topics: Statistics, Scientific Method, Statistical Thinking, statistical concepts, statistical data

Topics: variables, graphs, frequency distribution, mean, median, mode, central tendency, standard deviation, moments, skweness, kurtosis, probability, Binomian distribution, Poisson distribution, Normal distribution, sampling theory, statistical estimation theory, statistical estimation theory, small sampling theory, Chi-square test, curve fitting, method of least squares, analysis of variance, nonparametric test, statistical process, control, process capability

Topics: Operations Research, Operations Research models, linear programming, two-variable linear programming model, modelling, simplex method, sensitivity analysis, artificial starting solution, duality, post-optimal analysis, primal-dual relationships, simplex algorithms, transportation model, assignment mode, network mode, shortest-route problem, Minimal spanning tree algorithm, maximal flow model, critical path model, revised simplex method, revised algorithm, bounded-variables algorithm, parametric linear programming, goal programming, goal programming formulation, goal programming algorithm, integer linear programming, Heuristic programming, greedy heuristic, local search heuristic, metaheuristic, constriant programming, traveling salesperson problem, deterministic dynamic programming, dynamic programming, inventory modelling, probability, probability distribution, decision analysis, games, game theory, probabilistic inventory models, Markov chains, queuing systems, simulation modeling, classical optimization theory, Nonlinear programming algorithms