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: Machine Arithmetic, Real Numbers, Machine Numbers, Rounding, Condition Numbers, Approximation, Interpolation, Least Squares Approximation, Polynomial Interpolation, Spline Functions, Numerical Differentiation, Numerical Integration, Nonlinear Equations, Iteration, Convergence, Efficiency, Method of False Position, Secant Method, Newton’s Method, Fixed Point Iteration, Algebraic Equations, Systems of Nonlinear Equations, Initial Value Problems for ODE, One-Step Methods, Numerical Methods, Euler’s Method, Taylor Expansion, Runge–Kutta Method, Error Monitoring, Step Control, Stiff Problems, Multistep Methods, Adams–Bashforth Method, Adams–Moulton Method, Predictor–Corrector Method, Two-Point Boundary Value Problems for ODEs, Initial Value Technique, Finite Difference Methods, Variational Methods

Topics: Business Forecasting, Linear Regression Model, Linear Model, Single-equation Regression Models, Distributed Lags, Dummy Variables, Nonlinear Regressions, Equation Stability, Equation Robustness, Smoothing Data, Time-series Decomposition Model, Linear Trends, Nonlinear Trends, Univariate Time-series Modeling, ARMA Model, Sales Forecasting, Long-term Forecasting, Macroeconomic Forecasting, Macroeconomic Model

Topics: Maximum Likelihood Estimation, k-variable Linear Equation, Partial Correlation Coefticients, Specilkation Error, Parameter Constancy, Dummy Variables, Maximum Likelihood, Generalized Least Squares, Instrumental Variable Estimators, heteroscedasticity, autocorrelation, Estimation Under Heteroscedasticity, Autocorrelated Disturbances, Univariate Time Series Modeling, Autoregressive Distributed Lag Relationships, Multiple Equation Models, Vector Autoregressions, Simultaneous Structural Equation Models, Panel Data

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations

Topics: Algebra, Arithmetic Reviews, Self-Tests, Sequences, Series, Limits, Continuity of Functions, One Variable, Optimization, Linear Equations, Matrices, Determinants, Inverse Matrix, n-Variables, Constrained Optimization, Comparative Statics, Concave Programming, Kuhn-Tucker Conditions, Integration, First-Order Difference Equations, Second-Order Difference Equations, Simultaneous Systems, Optimal Control

Topics: Mesangial Cells, Loop of Henle, renal function test, urea, creatinine clearance, inulin GFR, isotopic GFR, cockroft equation, Gault equation, jellife equation, plasma creatinine concentration, uric acid

Topics: Linear Algebra, Simultaneous Equation, sequence, series, linear algebraic function, Differentiation, Integration, calculus, Differential Equation, differential analysis, Difference Equation, Optimization, Dynamics Analysis