Math 401 - Complex Analysis - Fall 2012

Week

week of

Sections

Topics

HW Problems

Suggested Problems

1

17-Sep

1.1-5

Introduction to Complex Numbers

1. 3, 10, 12, 15, 16, 18.

1. 5, 7, 14, 19, 20.

2

24-Sep

2.1-3

Complex Functions

2. 2, 3, 5, 13, 14, 15, 23.

2. 4, 9, 11, 14, 18, 19.

3

1-Oct

3.1-2 4.1

Analytic Functions

3. 4, 7, 11, 14, 19, 21.

3. 3, 6, 15, 18, 20.

4

8-Oct

4.2 M1

Line Integrals

4. 2, 6, 9, 10, 12.

4. 3, 5, 11.

5

15-Oct

5.1-2

Entire Functions

5. 2, 5, 8, 10, 12.

5. 4, 9, 11, 16, 19.

6

22-Oct

6.1

Power Series Representations

 

 

7

29-Oct

6.2-3

Uniq., Mean Value, Max. Mod.

6. 2, 3, 6, 12, 14, 15.

6. 4, 8, 11, 13, 16.

8

5-Nov

7.1-2

Open Map., Schwarz Reflection

7. 3, 5, 8, 16, 20.

7. 4, 9, 12, 17, 18.

9

12-Nov

8.1 M2

Cauchy Theorem

10

19-Nov

8.2 9.1

Log Function, Isolated Sing.

8. 1, 8, 9. 9. 1, 4.

8. 3, 6. 9. 2, 5.

11

26-Nov

9.2 10.1

Laurent Expansion, Residue Th.

9. 9, 10, 11. 10. 1, 2.

9. 12, 14, 15. 10. 4

12

3-Dec

10.2 11.1

Contour Integrals

10. 7, 9, 10. 11. 1.

10. 8, 12. 11. 2.

13

10-Dec

11.1-2

Contour Integrals

11. 1, 3, 9, 13.

11. 4, 6, 8, 11.

14

17-Dec

12.1 M3

Contour Integrals

 

 

15

24-Dec

13.1 14.2 16.1

Conformal Maps, Riemann Map. Th., Harmonic Functions

 13. 3, 10. 16. 1, 3, 7.

 13. 5, 9. 16. 2, 4, 5.

 

Instructor: Baris Coskunuzer

Prerequisite: Math 301

Text: Complex Analysis by Bak and Newman

Additional Text: Schaum's Outline of Complex Variables

Grading Policy: 10% HW + 55% Midterms (4 midterms) + 35% Final

Attendance Policy: 75% attendance is required. 90% attendance means 5 bonus points.

Passing Grade: At least 40

Class Time: TTh 12:30-13:45 at ENG B20B

Office Hours: TTh 14:00-15:00

Teaching Assistant: Mehmet Oz

TA Office Hours: Monday 15:00 17:00 at SCI 156

HW: HWs are due Tuesday class of the following week.

Collaboration is encouraged as long as everyone writes his own solution.

HW solutions: HW1 HW2 HW3 HW4 HW5 HW6 HW7 HW8 HW9 HW10

Exams: Midterm 1 Midterm 2 Midterm 3 Midterm 4 Final