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 $z(t) = e^{-it}$.

Boas, Ch 14, Section 3, #4, 6