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: Mechanics of point mass, moving coordinate system, special relativity, systems of point masses, collisions, dynamics of rigid bodies, rigid body, real solid, liquid bodies, static liquids, gases, kinetic gas theory, fluid dynamics, Euler equation, continuity equation, Bernoulli equation, vacuum physics, laminar flow, navier-strokes equation, aerodynamics, reynold's number, thermodynamics, heat transport, mechanical oscillations, mechanical waves, forced oscillations, superposition of waves, standing waves, nonlinear dynamics, acoustics, nonlinear chaos, vector algebra, vector analysis, coordinate systems, complex numbers

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: 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: Electric Circuit, Electronics, Direct Current, Electrical Circuit Symbols, Electrical potential, resistance, conductance, Electrical power, Ohm’s law, conductor, insulator, electromotive force, Kirchhoff’s Law

Topics: conductors, currents, Ohm’s Law, resistance, Electromotive force, EMF

Topics: Units, Physical Quantities, Vector, Motion, Newton's law, Work, Kinetic energy, Potential energy, Energy conservation, Momentum, impulse, collision, rigid bodies, rotational motion, equilibrium, elasticity, fluid mechanics, gravitation, periodic motion, mechanics, mechanical waves, sound, hearing, temperature, heat, thermodynamics, electrical charge, electric field, electric potential, Gauss law, capacitance, dielectric, current, resistance, electromotive force, direct-current circuit, magnetic field, magnetic force, electromagnetic induction, inductance, alternating circuit, electromagnetic wave, Light, Geometric optics, Interference, Diffraction, Relativity, photons, quantum mechanics, wave functions, atomic structure, molecule, condensed matter, Nuclear physics, particle physics, cosmology, electromagnetism, optics, acoustics, modern physics

Topics: Units, Physical Quantities, Vector, Motion, Newton's law, Work, Kinetic energy, Potential energy, Energy conservation, Momentum, impulse, collision, rigid bodies, rotational motion, equilibrium, elasticity, fluid mechanics, gravitation, periodic motion, mechanics, mechanical waves, sound, hearing, temperature, heat, thermodynamics, electrical charge, electric field, electric potential, Gauss law, capacitance, dielectric, current, resistance, electromotive force, direct-current circuit, magnetic field, magnetic force, electromagnetic induction, inductance, alternating circuit, electromagnetic wave, Light, Geometric optics, Interference, Diffraction, Relativity, photons, quantum mechanics, wave functions, atomic structure, molecule, condensed matter, Nuclear physics, particle physics, cosmology, electromagnetism, optics, acoustics, modern physics