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.