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