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.

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 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
*

Sections 1.5, 2.1-2.5, 3.1-3.2, review problems with *

Sections 4.1-4.5, review problems with *

__Tests__

__Test#1, __*Tuesday,
October 11*

** Review**,

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.

__Test#2__,
*Thursday,** November 17*,

Review

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**,