Complex Analysis     MATH 305

Homework Assignment #9 (Last One!)

Due Friday, May 6, 5:00 PM


All problem numbers refer to the primary course text by Brown and Churchill. Unless otherwise indicated, all parts of a problem (a), (b), etc. should be completed.

Note: For this assignment, you are allowed and encouraged to work in a group of up to four people and turn in one problem set for your entire group. Be sure to list the names of all group members at the top of your assignment. Each member of the group will receive whatever grade is given for the entire assignment. As usual, cite any references (website, other texts, etc.) that you may have used while working on this assignment.

Sections 63 - 66 (pp. 219 - 222): #1, 3
Note: You will need to shift the index of summation to obtain the correct formulas.

Sections 68 - 71 (pp. 239 - 240): #1a, 1b, 1c, 2
Hint: For #2b, start by writing the first few terms of the Taylor series for e^(-z) about z = 1.

Section 72 (pp. 243 - 244): #1a, 1c, 1e, 2b, 2c, 4
Hint: For #2c, start by writing the first few terms of the Taylor series for e^(2z) about z = 1.

Sections 73 - 74 (pp. 248 - 249): #4