**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:

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

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:

**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:

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:

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:

**Fall Term of 2002/2003**,
TA of ACM110. Instructed by Jian Deng.

Problems and Solution Sets:

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

**Winter Term of 2001/2002**, TA of
ACM111: Numerical Analysis: Approximation Theory and
Ordinary Differential Equations instructed by
Dr.Haomin Zhou,

Solutions:
HW1,
HW2,
HW3,
HW4,
HW5,
Final Project

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

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