Topics: generalized linear models, Model Fitting, Exponential Family, estimation, inference, normal linear models, Binary Variables, Logistic Regression, Nominal Logistic Regression, Ordinal Logistic Regression, Poisson Regression, Log-Linear Models, Survival Analysis, Clustered data, Longitudinal Data, Bayesian Analysis, Markov Chain Monte Carlo Methods

Topics: Econometrics, Econometrics Model, Linear Regression, Regression Analysis, Ordinary Least Square Method Estimation, Classical Least Regression Method, Ordinary Least Square Estimators, Coefficient of Determination, Classical Normal Linear Regression Model, NORMAL LINEAR REGRESSION MODEL, SINGLE- EQUATION REGRESSION MODELS, ECONOMETRICS ANALYSIS, Method Of Maximum Likelihood, Confidence intervals, Regression Coefficients, Regression Analysis, Analysis of Variance, Normality

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: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets

Topics: Linear Algebra, Algebra of Matrices, matrix, Determinants, Matrix Inverse, Systems of Linear Equations, Vector Space, linear equation, Subspaces of Vector Spaces, Rank of a Matrix, Linear Transformations, Linear Transformation, Homogeneous Systems of Linear Equations, Non-Homogeneous Systems of Linear Equations, Eigenvalue, Eigenvector, Minimal Polynomial, Matrix Polynomial, Companion Matrix, Similar Matrix, Diagonal Matrix, Triangular Matrix

Topics: Biostatistics, measures of central tendency, measures of variability, probability, permutations, random variables, Bernoulli Distribution, Binomial Distribution, Geometric Distribution, Hyper-geometric Distribution, Negative Binomial Distribution, Poisson Distribution, Multinomial Distribution, Uniform Distribution, Normal Distribution, Multivariate Normal Distribution, Logistic Distribution, Chi-square Distribution, Gamma Distribution, Exponential Distribution, Beta Distribution, Dirichlet Distribution, population sample, central limit theorem, degrees of freedom, parameters estimation, point estimation, maximum likelihood estimation, interval estimation, hypothesis testing, simple linear regression, simple regression model, partitioning total variability, partial correlation, rank correlation, likelihood ratio test, robust regression, curvilinear regression, polynomial regression, segmented regression, Least Significance Difference, intraclass correlation, experimental error, randomized complete block design, Partitioning Total Variability

Topics: Linear Programming, Linear Programming Model Formulation, Graphical Method, Simplex Method, Duality in Linear Programming, Dual Linear Programming Problem, Sensitivity Analysis, Integer Linear Programming, Goal Programming, Transportation Problem, Assignment Problem, Decision Theory, Decision Trees, Theory of Games, game theory, Project Management, Deterministic Inventory Control Models, Probabilistic Inventory Control Models, Queuing Theory, Replacement Models, Maintenance Models, Markov Chains, Simulation, Sequencing Problems, Information Theory, Dynamic Programming, Classical Optimization Methods, Non-Linear Programming Methods, Revised Simplex Method, Dual-Simplex Method, Bounded Variables Linear Programming Problem, Parametric Linear Programming

Topics: Linear Algebra, Matrix algebra, matrix multiplication, Equivalent Systems, Elementary Operations, Gaussian Elimination, Echelon Matrices, Row Canonical Form, Row Equivalence, Matrix Formulation, Elementary Matrices, LU Decomposition, vector spaces, Linear Combinations, spanning sets, Full Rank Factorization, Least Square Solution, linear mappings, Cauchy–Schwarz Inequality, Gram–Schmidt Orthogonalization, determinants, diagonalization, Eigenvalues, Eigenvectors, Cayley–Hamilton Theorem, canonical forms, linear functionals, dual space, bilinear form, quadratic forms, Hermitian Form, linear operators

Topics: Linear Regression Model, Econometrics, Least Squares Regression, Hypothesis Tests, Model Selection, Functional Form, Difference in Differences, Structural Change, Nonlinear Regression ­Models, Semiparametric Regression ­Models, Nonparametric Regression ­Models, Endogeneity, Instrumental Variable Estimation, Generalized Regression Model, Heteroscedasticity, Regression Equations, Estimation Frameworks, Estimation Methodology, Minimum Distance Estimation, Generalized Method of ­Moments, Maximum Likelihood Estimation, Simulation-Based Estimation, Inference, Random Parameter Models, Bayesian Estimation, Cross Sections, Panel Data, Microeconometrics, Binary Outcomes, Discrete Choices, Multinomial Choices, Event Counts, Limited Dependent Variables—Truncation, Censoring, Sample ­Selection, Time Series, Macroeconometrics, Serial Correlation, Nonstationary Data

Topics: Elements of econometrics, Simple regression analysis, econometrics, regression analysis, regression coefficients, hypothesis testing, Multiple regression analysis, Transformations of variables, Dummy variables, regression variables, Heteroscedasticity, Stochastic regressors, measurement errors, Simultaneous equations estimation, Binary choice, limited dependent variable models, maximum likelihood estimation, time series data, nonstationary time series, panel data, Regression analysis, linear algebra primer