• Text Ahlfors Complex Analysis

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|\$