Teaching Duties, Fall, 2010

MATH8500 Advanced Numerical Analysis

The tentative course sylabus can be viewed.

MATH2250 Differential Calculus

The tentative course sylabus can be viewed.

Teaching Duties, Spring, 2010

MATH8550 Special Topics on Numerical Analysis

In tihs course, we will learn classic and modern theories on optimization. In the first half semester, we explain classic theory on constrained and unconstrained minimization. In the second half, we will learn some advanced theory on L_1 and \ell_1 minimization as well as nonconvex minimization techniques. The tentative course sylabus can be viewed.

Teaching Duties, Fall, 2009

MATH2250 Differential Calculus (Two Sessions)

In tihs course, we will learn how to take a derivative of a function for various kinds and their applications for maximal and minimal problems and for graphical display. The tentative course sylabus can be viewed.

Teaching Duties, Fall, 2008

MATH2500 Multivariate Calculus

In this course, you will learn the multivariate differential and integral calculus. In addition, you will learn vector analysis. You will see many concepts such as vectors, cross-product, partial derivatives, gradient, tangent plane, polar coordinates, parametric curves, line integrals, surface integrals , etc. and many theorems such as Lagrange Multiplier Theorem, Green's Theorem, Divergence Theorem, Stokes Theorem, as well as many integral techniques for double and triple integrals. The tentative course sylabus can be found here.

MATH4500 Numerical Analysis

This is the first one of two courses on numerical analysis. We plan to cover the material in the text as much as possible. Mainly we cover Chapters 2--5. Thus, we will learn how to solve nonlinear equations, find polynomial interpolations, numerical derivatives and integrationds and numerical solution of ordinary differential equatins. The tentative course sylabus can be found here.

Teaching Duties, Spring, 2008

MATH3100 Sequence and Series

This is an introduction course on mathematical analysis. We begin with sequences of numbers, then sequence of functions or matrices. Then we discuss how to use induction and how to analyze the convergence of sequences. We shall explain series and convergence of series by using root and ratio tests and other tests. Finally we will discuss the series of functions, especially Fourier series.

Teaching Duties, Fall, 2007

MATH2500 Multivariate Calculus

In this course, you will learn the multivariate differential and integral calculus. In addition, you will learn vector analysis. You will see many concepts such as vectors, cross-product, partial derivatives, gradient, tangent plane, polar coordinates, parametric curves, line integrals, surface integrals , etc. and many theorems such as Lagrange Multiplier Theorem, Green's Theorem, Divergence Theorem, Stokes Theorem, as well as many integral techniques for double and triple integrals. The tentative course sylabus can be found here.

MATH8510 Advanced Numerical Analysis

In this course, you will learn how to solve some partial differential equations numerically. You will learn finite difference method as well as finite element method. Also, you will use the multivariate spline approach to solve Poisson equation, biharmonic equations, heat equations over arbitrary polygonal domains.