Grader. Jie Geng

Office Hours. Tuesday Thursday After class 2.45 -3.30. Other times by appointment

Office: Room 1313 WWHall. Phone x83334 e-mail

Home work. Week 1. Page 11 Problem 1, Page 15 Problem 2

Home work Week 2

Homework Week 3 Page 47 Problems 3&7,

Page 73 problem 3. $f(z)=u+iv$ is analytic in $\Omega$. F is a real valued smooth function and $F(u,v)=0$ in $\Omega$. Under what conditions on $F$ can we conclude that $f$ is a constant.

Page 77 problem 2 $T_1z={z+2\over z+3}$ and $T_2z={z\over z+1} $ What are T_1T_2z, T_2T_1z, T_1^{-1}T_2z?

Homework Week 4.

Calculate the following integrals. Integration is in the positive or anticlockwise direction on the circle.

1. $\int_{|z|=2} \frac{1}{z^2 -1} dz

2. $\int_{|z|=1} |z-1||dz|$

Home work for Oct 6 and 8. Due Oct 15. No class on Oct 13

Home work for Oct 20 and 22. Due Oct 26. No home work due this week.

Home work for the week of Oct 26. Due Nov 3.

Home work for Nov 3 and 5. Due Nov 10 .