MATH 503 - Complex Analysis I
Fall 2009
Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Wednesday 13:40-15:30
Assistant:
Text Books:
Functions of One Complex Variable, 2nd edition, John. B. Conway,
GTM 11, Springer-Verlag, 1978.
Schedule:
| MON | 11:40-12:30 | SAZ-19 | |
| THU | 10:40-12:30 | SBZ-11 |
Office Hours:
| MON | 13:40-15:30 | SA-121 |
Exams and Grading:
| Midterm 1 | 25% | Take-Home | ||
| Midterm 2 | 25% | Take-Home | ||
| Final | 35% | 11 January 2010, 15:30 | SAZ-19 | Solutions |
| Homework | 15% | Take-Home | ||
| Make-up Exam | ||||
| Seeing Exam Papers | ||||
Syllabus:
| Week |
Date |
Subjects to be covered | Chapter |
| 1 | 14, 16 Sep | Complex plane and its topology | I, II |
| 2 | 24 Sep | Analytic functions | III |
| 3 | 28 Sep, 1 Oct | Complex Integration | IV |
| 4 | 5, 8 Oct | Complex Integration | IV |
| 5 | 12,15 Oct | Complex Integration | IV |
| 6 | 19, 22 Oct | Singularities | V |
| 7 | 26 Oct | Singularities | V |
| 8 | 2, 5Nov | Maximum Modulus Principle | VI |
| 9 | 9, 12 Nov | Convergence in Function Spaces | VI |
| 10 | 16, 19 Nov | Riemann Mapping Theorem | VII |
| 11 | 23, 26 Nov | No Classes | |
| 12 | 3 Dec | Weierstrass Factorization Theorem | VII |
| 13 | 7, 10 Dec | Factorization of sine function | VII |
| 14 | 14, 17 Dec | Gamma Function | VII |
| 15 | 21, 24 Dec | Riemann Zeta Function | VII |
| 16 | 28 Dec | Review |
Old Exams are on Old Courses Web Page
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