Teaching Experience

Spring Term of 2004/2005, TA for ACM106c: Introductory Methods of Computational Mathematics, Instructed by Prof. T. Y. Hou

Winter Term of 2004/2005, TA for ACM106b: Introductory Methods of Computational Mathematics, Instructed by Prof. T. Y. Hou
Homework solutions:

homework 1,

Fall Term of 2004/2005, TA for ACM106a: Introductory Methods of Computational Mathematics, Instructed by Prof. T. Y. Hou

Course outline,
one lecture on Relaxation Methods, one lecture on Preconditioned Conjugate Gradients Methods,
two lectures on GMRES, one lecture on Convergence of Two Grid Method,
Final Project, Solution to Final (courtesy of Peter Stobbe)

Spring Term of 2003/2004, TA for ACM95c: Introductory Methods of Applied Mathematics, Instructed by Prof. O. Bruno.
Recitation lecture notes:

Week 01, Week 02, Week 03, Week 04, Week 05, Week 06,

Winter Term of 2003/2004, TA for ACM201b: Partial Differential Equations, Instructed by Prof. Thomas Y. Hou.

Give two lectures on lower dimensional models to the 3D Euler equations. Including the existence theorem to the 2D QG equation by Constantin, Majda and Tabak.
Give one lecture on the convergence of the point vortex method.
Give one lecture on vortex sheets. Including the derivation of the Birkhoff-Rott equation, the Kelvin-Helmholtz instability and the short time existence for analytic initial values.
Give one lecture on the proof of the existence of weak solutions for vortex sheet initial value with distinguished sign.

Fall Term of 2003/2004, TA for ACM201a: Partial Differential Equations, Instructed by Prof. Thomas Y. Hou
Solution Sets to Homeworks:

hw1, hw2, hw3, hw4

lecture notes (in pdf) of the three lectures I gave
on the analysis background, elliptic and parabolic PDEs. ( 39 pages )

Spring Term of 2002/2003, TA for ACM113: Introduction to Optimization , Instructed by Alexei Novikov.
Solution Sets to Homeworks:

hw1, hw2, hw3, hw4, hw5, hw6, hw7, hw8
Final Exam, Solution to Final Exam
lecture notes of the two review lectures that I gave.

Winter Term of 2002/2003, TA for ACM111. Instructed by Jian Deng
Problems and Solution Sets:

HW1, Quiz1, HW2, HW3, HW4, Final Project

Fall Term of 2002/2003, TA of ACM110. Instructed by Jian Deng.
Problems and Solution Sets:

quiz1, HW1, quiz2, quiz3, HW2, HW3, HW4, review, Final Project
Gave a lecture on the Conjugate Gradient method.

Spring Term of 2001/2002, TA of ACM112: Numerical Methods to PDE. Instructed by Dr.Haomin Zhou.
Solutions: HW1, HW2, HW3, HW4, Final Exam

Fall Term of 2001/2002: TA of ACM110: Numerical Analysis---Numerical Linear Algebra instructed by Dr.Haomin Zhou.

Last modified: Fri Jun 3 14:59:53 PDT 2005