Complex Analysis

Math 407 -500

First Day Handout:


Professor: Thomas Schlumprecht
Office: Blocker 625 Tel: 845-8840
Hours: Tu 2:00 - 3:00, Wed 3:00 - 4:00, and by appointment
E-mail: schlump@math.tamu.edu
Homepage: http://www.math.tamu.edu/~thomas.schlumprecht

General Description

Fundamental theory of analytic functions, including residues and their applications. Prerequisites: MATH 221 or equivalent


Textbook

The required textbook is Complex Variables and Applications by Churchill, 6th Edition, published by McGraw Hill.


Grading

Course grades will be determined by three inclass tests (25% each), and homeworks (25%). You may collaborate with other students on the homework.

Furthermore there will be a comprehensive final, which can (if score is higher) replace the lowest test grade. The participation at the final is voluntary.


Copyright Statement
: All handouts and web-documents associated with this course are protected by US Copyright law. One personal copy (or download) of any of these documents is allowed by each student. Multiple copies or sale of any of these materials is strictly forbidden.



Homeworks (Due on Thursdays)


Homework 1, due 1/23: page 5: 1(c,d,e,f),4,5,6,7,12 page 11: 2,4,5,11


Homework 2, due 1/30: page 17: 2(a,b),5 ,6 , 13 ,15 page 22: 4 page 25: 1(a,e), 7 page 31: 1(a,c), 3 page 42: 1(b,g)


Homework 3, due 2/6: page 31: 4,5 page 42: 7, 9, 10 page 47: 1,4, 9


Homework 4, due 2/13: page 54: 1 --4, 8, 9, 10 page 62: 1, 2, 4, 5, 7, 10, 11 -- 15


First Examination: Tuesday, February 18


Sample Test (Test given in Dr. Stecher's class)


Homework 5, due 2/27: page 68: 14, 15; page 72: 5, 14; page 79: 1, 15 ,4; page 92: 1(a),(b), 3, 4


Homework 6, due 3/6: page 92: 12; page 102: 1, 2, 3, 5, 9, 13, 15, 18


Homework 7, due 3/20: page 120 2, 3, 4 (a),(c),(f) 5,7,10, 12


Homework 8, due 3/27: page 128 1 (a),(d) 2, 6, 7, 8; page 136 1, 3, 4, 6 , 7, 9.



Second Examination: Tuesday, April 1




Homework 9, due 4/10: page 142 1, 2; page 149 1, 3, 4, 8; page 156 1, 2, 9, 7;


Homework 10, due 4/17: page 172 1, 4, 6, 7, 9, 18


Homework 11, due 4/24: page 189 1, 2 (a)(c), 3, 5 (a)(c), 7, 8, 9.