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Fall 2006 Math 332

What, When, and Where:

Course Description:

Complex algebra, analytic functions, integration in the complex plane, infinite series, theory of residues, conformal mapping, and applications.

Text:

Title: Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics
Authors: Saff and Snider
Edition: 3rd
ISBN: 0139078746

Book cover of "Fundamentals of Complex Analysis" by Saff and Snider

Lectures:

MWF 08:00-08:50 136 TMCB

Office Hours:

MWF 9:00-9:50 306 TMCB

Grading Scheme:

30% Homework Assignments
20% Exam I
20% Exam II
30% Final

Course Schedule: (subject to change)

Sep 06 Introduction and Expectations, Sections 1.1, 1.2
Sep 08 Section 1.3
Sep 11 No Class
Sep 13 Section 1.4
Sep 15 Section 1.5
Sep 18 Section 1.6
Sep 20 Section 2.1
Sep 22 Section 2.2
Sep 25 Section 2.3
Sep 27 Section 2.3 (continued)
Sep 29 Section 2.4
Oct 02 Section 2.5
Oct 04 Review
Oct 06 Exam I (download)
Oct 09 Section 3.1
Oct 11 Section 3.1 (continued)
Oct 13 Sections 3.2, 3.3
Oct 16 Section 4.1
Oct 18 Section 4.2
Oct 20 Section 4.3
Oct 23 Section 4.4
Oct 25 Section 4.5
Oct 27 Section 4.6
Oct 30 Section 4.6 (continued)
Nov 01 Section 5.1
Nov 03 Section 5.2
Nov 06 Section 5.3
Nov 08 Section 5.3 (continued) plus review
Nov 10 Exam II (testing center Thur-Mon)
Nov 13 Section 5.4
Nov 15 Sections 5.5, 5.6
Nov 17 Sections 5.7, 6.1
Nov 20 Sections 6.2 and 6.3
Nov 21 Section 6.7
Nov 27 Complex Inner Product Spaces
Nov 29 Complex Inner Product Spaces II
Dec 01 Section 8.1
Dec 04 Guest Lecturer: Mobius Transformations
Dec 06 Section 8.2
Dec 08 Section 8.3
Dec 11 Section 8.4
Dec 13 Section 8.4 (continued)

Assignments:

Assignment #1 (Due 09/15/06)
1.1# 21,22,27,28
1.2# 16,17,19
1.3# 6,11,12

Assignment #2 (Due 09/22/06)
1.4# 12,13,16,20,21,22,23
1.5# 7,17,18

Assignment #3 (Due 10/02/06)
2.2# 4-6,14,25
2.3# 2,3,10-12

Assignment #4 (Due 10/11/06)
2.4# 10-12,14,15
2.5# 2,4,6,8,10

Assignment #5 (Due 10/23/06)
3.1# 11-20

Assignment #6 (Due 10/30/06)
4.2# 3,5-12,14

Assignment #7 (Due 11/06/06)
4.4# 16,18,19
4.5# 8,10
4.6# 1-3
5.1# 1-2

Assignment #8 (Due 11/17/06)
5.2# 5,11,18-20
5.3# 4,5,10,16,17

Assignment #9 (Due 11/21/06)
5.4# 3,8,10,11
6.1# 3

Assignment #10 (Due 12/06/06)
6.2# 2,4,6,8,10
6.3# 2,4,6,10
6.7# 3