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:**
MWF, 11:45 - 12:30 pm,
TTh 12-12:45 and 4:15-5 pm or by appointment

**Room: **
ECG G315

**Line
#: **
75985

**Time: **
5:15 - 6:30 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.

F, SS Analytic functions, complex integration,

Taylor and Laurent series, residue theorem, conformal
mapping, and harmonic functions.

**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

**History
of Mathematics Archive**

__Homework__

**HW#1**, sections
1.1-1.5 due to Tuesday, Sept 9

**HW#2**, sections
1.6, 2.1-2.5 due to Thursday, Sept 25**
HW#3**, sections 3.1-3.3, 3.5 due to due to Thursday,
October 16

__Quizes__

** Quiz#1 Tuesday, September 9
**Sections 1.1-1.5, review problems with *

Setions 4.1-4.5, review problems with *

__Tests__

__Test#1, __*Thursday, October 16***
**

** Review**,

Chapter 1, sections 1.1-1.6; chapter 2, sections 2.1-2.5; chapter 3, sections 3.1-3.3, 3.5 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, Inverse trigonometric functions.

Problems to review:

See problems with * in the homework assignment.

__Test#2__, *Thursday,
December 4*** **

__Review__*Tuesday, December 2*

Chapter 4, sections 4.1-4.6, chapter 5, section 5.1-5.3,
5.5-5.6 and chapter 6, sections 6.1-6.2 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.

__Final Exam__
*Tuesday, December 16, 4:20-6:10 pm,***ECG
G315**

__Reviews__

**
**