====== Homework 4 ======

Due Monday in class.

1. Taylor expand $(z+1)(z+2)$ around $z=3$.

2. Laurent expand $1/[(z-1)(z-2)]$ around $z=1$. And do it again, this time around $z=2$. 

3.Compute $\int_{0}^{2\pi} 1 / (z(t)) d z(t). $ for the following three contours 
(a) For $t \in [0, 2\pi]$, let $z(t) = e^{it}$. 

(b). For $t \in [0, 2\pi]$, let $z(t) = e^{i2t}$.   

(c ). For $t \in [0, 2\pi]$, let $z(t) = e^{-it}$. 


{{ :math121a-f23:ch14-sec3.pdf |Boas, Ch 14, Section 3}}, #4, 6