SYLLABUS
MAT 461  Applied Complex Analysis
FALL 2011*



  *Important Note: All items on this syllabus are subject to change.
Any in-class announcement, verbal or written, is considered
official addendum to this syllabus.


Instructor:      Dr. Sergei Suslov
Office:             PSA 621
Phone:             965-8987
E-mail:           sks@asu.edu
URL:               http://hahn.la.asu.edu/~suslov/index.html
Office Hours: TuTh  3-4 pm or by appointment
Room:              PSA 309
Line #:             72761
Time:               4:30 - 5:45 pm, TTh
Text: 
               Fundamentals of Complex Analysis, by E. B. Saff and A. D. Snider, 3rd edition, Prentice Hall 2003.

Prerequisite:   MAT 272 or equivalent
Exams:            There will be two regular in class exams (2*100);
                         homework & quizzes (100);
                         and a comprehensive final exam (200)
Grading Policy:
                         A-,A,A+ = 90 - 100%
                         B-,B,B+ = 80 - 89%
                         C,C+ = 70 - 79%
                         D = 60 - 69%
                         E = 0 - 59%
Material to be covered: Chapters 1-6 will be covered
Make-up policy: No make-up exams will be given without notification. Also, no late homework will be accepted for grading.



Course Description

F, SS Analytic functions, complex integration, Taylor and Laurent series, residue theorem, conformal mapping, and harmonic functions.


Suggested MAT 461 Homework Problems

Section     Problems

1.1            5 - 11*, 14*, 15, 18, 20(a),(d)*, 26
1.2            1, 3, 4*, 5, 7(a)-(f)*, 8, 10*, 13-16
1.3            1(a)-(c)*, 5(a)-(c)*, 7(a)-(h)*, 10*, 15-16, 22
1.4            1(a)-(c)*, 2(a)-(c)*, 5*, 6(a), 7*, 8(a)-(b)*, 13, 20*
1.5            3, 4(a)-(b)*, 5(a)-(d)*, 7(a)-(c)*, 10, 14*
1.6            1, 2-8*, 21

2.1            1(a) -(c),(d)-(f)*, 4(a)-(c)*, 5(a)-(e)*, 6(a)-(c), 13
2.2            1*, 3*, 4, 5*, 9*, 11(a)-(f)*, 13
2.3            1*, 2,  3*, 4(a)-(c), 7(a)-(e)*, 9(a)-(b)*, 10, 11(a)-(c)*, 14, 15
2.4            1(a)-(c)*, 3*, 5, 6
2.5            1(a)-(c)*, 2, 3(a)-(c)*, 5, 6, 10

3.1            1*, 2(a)-(c)*, 5*, 11(a)-(d), 13
3.2            1*, 3*, 4, 5(a)-(f)*, 9*(a)-(f)*, 12(a)-(c), 23
3.3            1(a)-(d)*, 2,  5(a)-(c)*, 8, 9*, 11
3.5            1(a)-(d)*, 3(c),  7,  9*, 11, 12

4.1            1(a)-(d)*, 3*, 7, 11*
4.2            3(a)-(d)*, 6(a)*, 8*, 11(a)-(c)*, 13
4.3            1(a)-(c)*, 2*, 6*, 7*, 11*
4.4            9(a)-(e)*, 10(a)-(b)*, 17*
4.5            1*, 2*, 3(a)-(c)*, 5*

5.1            1(a)-(d)*, 3*, 5, 8, 9
5.2            1(a)-(f)*, 2, 3, 6*, 8(a)-(c)*, 11(a)-(d)*, 13, 14
5.3             2,  6(a)-(c)*, 7*, 10, 11*
5.5             1(a)-(d)*, 3(a)-(c)*, 7(a)-(b)*
5.6             1(a)-(d)*, 2, 3(a)-(c)*, 6*

6.1             1(a)-(h)*, 2, 3(a)-(d)*, 7*
6.2             1*, 2, 5*, 6

*homework problem to review



IMPORTANT INFO:

History of Mathematics Archive

Homework
HW#1, sections 1.1-1.4 due to  Tuesday, August 30
HW#2, sections 1.5, 1.6, 2.1-2.5, 3.1-3.2 due to September 22
HW#3, sections 3.3, 3,5 due to October 11
HW#4, sections 4.1-4.5 due to November 1
HW#5, sections 5.1-5.6,  6.1 due to November 17
HW#6, sections 6.2 due to December 1 (subject to change)

Quizes
Quiz#1 Tuesday, August 30
Sections 1.1-1.4, review problems with *
Quiz#2 Thursday, September 22
Sections 1.5, 2.1-2.5, 3.1-3.2, review problems with *
Quiz#3 Thursday, November 1
Sections 4.1-4.5, review problems with *
Quiz#4 (Take Home)  due to Tuesday, November 30  pdf  (subject to change)
Section 6.1-6.2.

Tests
Test#1, Tuesday, October 11
ReviewThursday, October 6
Chapter 1, sections 1.1-1.6; chapter 2, sections 2.1-2.5; chapter 3, sections 3.1-3.3, 3.5 no  sections 4.1-4.2 of chapter 4 on the test.
Topics to review:
Complex numbers, limit of sequence, limit of function, continuous functions, Analytic functions, Cauchy-Riemann's equations, Harmonic functions,  Polynomials and rational functions, Exponential and logarthm functins, Inverse trigonometric functions. No Complex line integrals.
Problems to review:
See problems with * in the homework assignment.
Sample Test 1: ps, pdf

Test#2, Thursday, November 17
Review
Tuesday, November 15
Chapter 4, sections 4.3-4.6, chapter 5, section 5.1-5.3, 5.5-5.6 and chapter 6, section 6.1 are on the test.
Topics to review:
Complex line integrals, Fundamental theorem of calculus, Cauchy's theorem, Cauchy's integral formula, Taylos series, Laurent series, zeroes and singularities,  Cauchy's residue theorem and evaluation of integrals
Problems to review:
See problems with * in the homework assignment.

Complex Analysis Study Group

From: Aaron Smith <hal11000@asu.edu>
Subject: MAt 461 study group addition

Our study group for MAT 461 Applied Complex Analysis will be meeting on Mondays at 6pm in the first floor of noble library. It is recommended that you start the homework before going to the study session.
Sincerely, Aaron Smith

Final Exam Tuesday, December 13, from 2:30 to 4:20pm, PSA 309
Review, December 6, from 4:30 to 5:45pm