Topics: differential equations, separable equations, exact equation, Inexact Differential Equations, Homogeneous Differential Equations, Bernoulli’s Differential Equations, Laplace transform, partial differential equations, Elliptic Differential Equation, Parabolic Differential Equation, Hyperbolic Differential Equation

Topics: Linear Statistical Models, linear regression, inference, correlation analysis, simultaneous inferences, regression analysis, simple linear regression analysis, multiple regression, quantitative predictors, qualitative predictors, regression, model, autocorrelation, time series, nonlinear regression, Neural networks, Logistic regression, Possion regression, Generalized linear models, ANOVA, Two-factor analysis of variance, two-factor studies, randomized complete block designs, analysis of covariance, multifactor studies, Nested designs, subsampling, partially nested designs

Topics: Linear Statistical Models, linear regression, inference, correlation analysis, simultaneous inferences, regression analysis, simple linear regression analysis, multiple regression, quantitative predictors, qualitative predictors, regression, model, autocorrelation, time series, nonlinear regression, Neural networks, Logistic regression, Possion regression, Generalized linear models, ANOVA, Two-factor analysis of variance, two-factor studies, randomized complete block designs, analysis of covariance, multifactor studies, Nested designs, subsampling, partially nested designs

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: Ordinary Differential Equation, variable separable equation, variable separable, linear equations, exact equations, particular integral, second order equations, initial-value problem, higher-order equations, difference equations, Non-homogenous equation

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: Ordinary differential equations, ODE, Separable differential equations, Exact differential equation, Linear equation, Bernoulli equation, Laplace transform, Second order differential equation

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

Topics: Sampling Theory, Variance, Correlation, Econometrics, Random Variables, Sampling Theory, Covariance, Variance, Correlation, Regression Models, Hypothesis Testing, Dummy Variables.Simple Regression Analysis, Regression Coefficients, Multiple Regression Analysis, Multicollinearity, Transformations of Variables, regression variables, Heteroscedasticity/Heteroskedasticity, Autocorrelation, Error, Econometric Modelling, Stochastic Regression, measurement errors, Autocorrelation, Econometric Modelling, Time Series Data Models, Simultaneous Equation, Binary Choice, Maximum Likelihood Estimation

Topics: Ordinary differential equation, first order differential equation, exact differential equation, homogeneous differential equation, integrating factor