## Homepage for Math 419: Introduction to Complex Variables

### Logistics

**Time/place:** MWF 1-1:50 in Engineering B103

**Text:** *Complex variables and applications* by Brown and Churchill (ISBN 9780073051949). I will expect you to read parts of the book, use it as a reference, and find the problems in it, so you will need access to it somehow. **IF** you buy the e-book through the bookstore, I **STRONGLY** suggest that you elect to use the downloadable version rather than the online version. The former will last much longer!

**Office hours:** Tuesdays and Thursdays 2-3 for now....

You can find more information on the syllabus.

### Homework

Assignment 1 (due Friday, 8/28): **1.2**/2a,4; **1.3**/1bc,4; **1.4**/1ad,6b; **1.5**/2a,10; **1.8**/2,9 (not the bit about Lagrange)
Assignment 2 (due Friday, 9/4): **1.8**/5d,10a; **1.10**/6,7; **1.11**/1-3,9,10; **2.12**/1,3

Assignment 3 (due Friday, 9/11): **2.14**/1,3,7,8; **2.18**/4,5; AND **A**: Find the preimage (all of it) of the rectangle in 2.14/1.

Assignment 4 (due Friday, 9/18): **2.18**/9,11,13; **2.20**/1,2,6,8.

Assignment 5 (due Friday, 10/2): **2.23**/1,5; **2.25**/1,2,7; **2.26**/2,3; **2.28**/1; **3.29**/8,14.

Assignment 6 (due Friday, 10/9): **3.31**/2,4,11; **3.32**/4; **3.33**/1,2; **3.34**/2,5.

Assignment 7 (due Friday, 10/23): **4.38**/2,4; **4.39**/5; **4.42**/1,2.

Assignment 8 (due Friday, 10/30): **4.43**/3,5; **4.45**/2; **4.49**/1,2a,5; **4.52**/1abcd (using Cauchy Integral Formula!)

**NOTE**: For 4.49/1,2a, be sure to describe where the functions are analytic and how that plays into your solution.

Assignment 9 (due Monday, 11/9): **4.52**/2,5,7,10; **4.54**/1,3,4,5.

Assignment 10 (due Wednesday, 11/18): **4.54**/9; **5.56**/5; **5.59**/2,3,4,11; **5.62**/5; **5.66**/1, 3, 12; **5.67**/1,6.

Assignment 11 (due Wednesday, 12/9): **6.71**/1abc, 2ac; **6.72**/1,3,4; **6.74**/1,3; **6.76**/1,4a,10.

Exam 1 review sheet
Help with homework proofs prior to Exam 1

Final

### Useful links

Dan's webpage.

Math Department.