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 |
Conformal Maps, Riemann Map. Th., Harmonic Functions |
|
|
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