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 1:30-2:50
pm or by appointment

**Room: **
PSA 306

**Line #: **
73313

**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.

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 1.1-1.4 due to Tuesday, August 31

**HW#2**,
sections 1.5, 1.6, 2.1-2.5, 3.1-3.2 due to September 16

**HW#3**, sections 3.3, 3,5
due to October 5

**HW#4**, sections 4.1-4.2 due
to October 14

**HW#5**, sections 4.3-4.5, 5.1-5.2
due to November 4

**HW#6**, sections 5.3-5.6, 6.1-6.2
due to December 7

__Quizes__

__Quiz#1__ Tuesday, *August 31***
**Sections 1.1-1.4, review problems with
*

__Tests__

__Test#1, __*Thursday,
October 14 *

** Review**,

Chapter 1, sections 1.1-1.6; chapter 2, sections 2.1-2.5; chapter 3, sections 3.1-3.3, 3.5 plus sections 4.1-4.2 of chapter 4 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. Complex line integrals.

Problems to review:

See problems with * in the homework assignment.

__Test#2__, *Tuesday,
November 7 *

** Review**,

Chapter 4, sections 4.3-4.6, 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.