MATH 270--- Spring, 2008
Basic Complex Variables  
TT 10:30 -- 11:50, 203 Eckhart
Greg Lawler, 415 Eckhart, lawler at math.uchicago.edu
College Fellow: Matthew Thibault, WL5, matt_tbo at math.uchicago.edu
Office Hours: Greg Lawler (M 5:00 -- 6:00 pm, W 4:00 -- 5:00)
Matthew Thibault (TT 1:30 -- 3:00 pm)
Problem session (run by Matt) M 7:00 -8:00 pm, 203 Eckhart


An introduction to complex analysis for students who have had (the equivalent of) the 203-205 analysis sequence. We will cover most of the material from the first ten chapters of the text.

Text

Lang, Complex Analysis

Homework assignments

There will be weekly homework exercises due on Tuesdays. The assignment will cover material from the lectures of the previous week. Copies of the HW assignments will be available on this web page. Students may discuss the exercises among themselves, but all write-ups must be done individually. Late HWs will not be accepted.

Examinations

There will be a midterm exam on Thursday, May 1. There will be a final examination during the examination period. (Graduating seniors will take a different exam during the last week of classes.) The grading will be based (approximately) on: FINAL EXAM (35%), MIDTERM (30%), HOMEWORKS (35%).
MIDTERM EXAMINATION WITH SOLUTIONS

HOMEWORK ASSIGNMENTS

Week 1: Reading, Chapter I; Problems (due April 8): p. 11: 1(b)(e), 2(c)(d), 7, 8, 10, 13; p, 17: 1,4; p. 26: 3, 5, 7

Week 2: Reading, Chapter II; Problems (due April 15): p.46: 1(c)(f), 3; p. 58: 2, 4, 6, 7; p. 68: 2(a)(c), 5; p. 71: 2; p. 75: 2; p. 83: 2, 5

Week 3: Chapter II, 6-7 (this is a reread but it was a long reading assignment for last week), Chapter III, 1-4, 6; Problems (due April 22): p. 93: 2, 3; pp. 102--103: 1, 3, 4, 6, 8, 9; p. 125: 1 (a)-(e), 2 (a)-(e), 6

Week 4 Reading and Problems

Week 5: Reading, Chapter V, 3; Chapter VI, 1; Problems: pp 172-173: 1(a)-(d),2,5,7; p. 186: 2, 19

Week 6: Reading, Chapter VI; Problems: pp 186 -- 187: 6,10,15,17,20,26(a)(d),29,31,35; pp 204--205: 1,2(b),5,9,14(a),15(a)

Week 7: Reading, Chapter VII; Problems: pp 213--214, 1,2,4,5; p. 219, 9; pp 229--230, 2,3,5; pp. 237--239, 3,4,5,9,12

Week 8 Reading and Problems

Week 9 Reading and Problems