Winter Quarter, 2010
Lectures: MWF 1:10–2:00 p.m., Phys/Geo 140
Office hours:
MWF 2:00–3:00 p.m. (or by appointment)
Text:
Basic Complex Analysis, J. E. Marsden and M. J. Hoffman,
Third Edition
e-mail: jkhunter@ucdavis.edu
Phone:
Office:
3230 Mathematical Sciences Building
Outline of topics
Some Important Theorems
You don't need to memorize the proofs, but you should be be able to state the theorems and know how to use them.
Midterm solutions are here.
Here is a sample midterm from a previous MAT 185 taught by another instructor. Solutions are included, but I recommend that you try the problems yourself first before looking at the solutions. A couple of questions have topics from Section 2.5 (e.g. the maximum modulus principle) that won't be on our exam, so you can ignore those parts.
There will be one in-class midterm and a final.
Grade will based on exams and homework, weighted
Video from Institute of Mathematics and its Applications
Solutions for even numbered problems
Set 2 (Wednesday, January 20)
Sec 1.3, p. 38: 2, 5, 9, 10, 21, 22
Read Sec. 1.4
Sec 1.4, p. 57: 1, 3, 6, 8, 11, 14, 20, 21
Set 3 (Wednesday, January 27)
Sec 1.5, p. 77: 2, 9, 10, 27, 30
Sec 1.6, p. 89: 3, 6, 9, 14
Review, p. 90: 17, 18
Set 4 (Wednesday, February 3)
Sec 2.1, p. 109: 1(a), 5, 8, 10, 11(b), 14
Sec 2.2, p.122: 1(c), 5, 7, 8
Set 5 (Wednesday, February 10)
Sec 2.4, p.161: 3, 5, 7, 15, 17, 21
The empty set (Wednesday, February 17)
Set 7 (Wednesday, February 24)
Sec 2.5, p.176: 1, 3, 5, 10, 12, 18
Sec 3.1, p. 201: 1, 8, 17
Sec 3.2, p. 218: 1, 3, 6
Set 8 (Wednesday, March 3)
Sec 3.3, p. 234: 1, 5, 8, 14, 16, 19, 20
Set 9 (Wednesday, March 10)
Sec 4.1, p. 254: 2, 5, 9, 11
Sec 4.2, p. 268: 3, 6, 9
Sec 4.3 p. 301: 1, 4, 7
Set 10 (Monday, March 15: will not be collected)
Sec 4.4 p. 312: 1
Sec 5.1 p. 325: 3, 5
Sec 5.2 p. 342: 1, 5