SYLLABUS
MAT 461  Applied Complex Analysis
FALL 2006*



  *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: 11:40 am- 12:30 pm MWF or by appointment
Room:             AG 301
Line #:             38914
Time:               12:40 - 1:30 pm, MWF
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 three regular in class exams (3*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 Wednesday, September 6
HW#2, sections 1.5-1.6, 2.1-2.5 due to Monday, September 25
HW#3
, sections 3.1-3.3 due to
Monday, October 9
HW#4, sections 4.1-4.5 due to Monday, October 30
HW#5, sections 5.1-5.3, 5.5 due to Friday, November 17
HW#6, sections 5.6, 6.1-6.2 due to Monday, December 4

Quizes
Quiz#1 Wednesday, September 6
Sections 1.1-1.4
Quiz#2 Monday, September 25
Quiz#3 Monday, October 30
Setions 4.1-4.5

Tests
Test#1 Friday, October 6, in the testing center!!!
Review  Wednesday, October 4
Chapter 1, sections 1.1-1.6; chapter 2, sections 2.1-2.5; chapter 3, sections 3.1-3.3 are 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.
Problems to review:
See problems with * in the homework assignment.
Sample Test 1: ps, pdf

Test#2 Friday, November 17
Review  Wednesady, November 15
Chapter 4, sections 4.1-4.6, chapter 5, section 5.1-5.3, 5.5 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.
Problems to review:
See problems with * in the homework assignment.

Test#3, Monday, December 4 or Tuesday, December 5 (in the testing center!!!)
Review  Monday, December 4
Sections 5.6, 6.1, 6.2 are on the test.
Topics to review:
Zeroes and singularities, Taylos series, Laurent series. Cauchy's residue theorem and evaluation of integrals
Problems to review:
See problems with * in the homework assignment.

Final Exam Friday, December 8, 12:20-2:10 pm
Reviews  Monday, December 4 (regular time and place) and Wednesday, December 6 ( PSA 304, 11:30 am-12:30 pm)