Books
Calculus I (7th Editions)
Course Description: The elementary number system and functions. Calculus of one variable functions. Limit. Continuity. Derivative and its applications. Anti-derivatives. Techniques of integrations and its applications. Series. Taylor’s Theorem and its applications.
Calculus II (6th Editions)
Course Description: Analytic geometry for Conic sections. Second degree equations. Vectors transformation of coordinates. Polar coordinates and functions of several variables. Partial derivatives. Multiple integrals. Scalar fields and vector fields. Derivative of vector valued functions.
Ordinary Differential Equations (5th Editions)
Course Description: An introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and higher-order linear differential equations, Euler equations, systems of differential equations, series solutions, and Laplace transforms.
Partial Differential Equations (1st Editions)
Course Description: An introduction to PDE; particular suitable for non-Math majors. Topics include physical examples of PDEs, method of characteristics, D’Alembert’s formulation, maximum principles, heat kernels, Duhamel’s principle, separation of variables, Fourier series, Harmonic functions, Bessel functions, spherical harmonics.
Elementary Statistics (2nd Editions)
Course Description: Data summaries and descriptive statistics, exploratory data analysis, elementary probability, sampling distributions, estimation and hypothesis testing, one-sample and two-sample procedures, regression and correlation, analysis of variance, chi-square tests, and non-parametric procedures.