MATH 503 - Complex
Analysis I
Fall 2014
Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Thursday
10:40-12:30
Text Books:
Functions of One Complex Variable, 2nd edition,
John. B. Conway, GTM 11, Springer-Verlag, 1978.
Schedule:
MON | 10:40-12:30 | SAZ-02 | |
THU | 09:40-10:30 | SAZ-02 |
Exams and Grading:
Midterm 1 | 25% | Take-Home: | Due on 17 November 2014 Monday | Solutions |
Midterm 2 | 25% | Take-Home | Due on 19 December 2014 Monday | Solutions |
Final | 35% | Take-Home | Due on 8 January 2015
Thursday - 17:00 hours |
Solutions |
Homework | 15% | Take-Home | ||
Note: After each take-home work there may be in class quizzes to check your understanding of what you wrote in the take-home work. The questions will be tailored separately for each student. Your questions will be related to those answers you gave in the take-home work without convincing me that you totally understood what you wrote. Your grade for that take-home will be determined after this quiz. | ||||
By Yönetmelik Madde 4.7 here is
our FZ grade policy: |
Homework-1 | Due on 13 October 2014 Monday Class time | Solution |
Homework-2 | Due on 30 October 2014 Thursday Class time | Solution |
Homework-3 | Due on 24 November 2014 Monday Class time | Solution |
Homework-4 | Due on 1 December 2014 Monday Class time | Solution |
Homework-5 | Due on 29 December 2014 Monday Class time | Solution |
Syllabus:
Week |
Date |
Subjects to be covered | Chapter |
1 | 15, 18 Sep | Complex plane and its topology | I, II |
2 | 22, 25 Sep | Analytic functions | III |
3 | 29 Sep, 2 Oct | Complex Integration | IV |
4 | -, 9 Oct | Conformal maps | IV |
5 | 13, 16 Oct | Mobius transformations | IV |
6 | 20, 23 Oct | Singularities | V |
7 | -, 30 Oct | Singularities | V |
8 | 3, 6 Nov | Residues | V |
9 | 10, 13 Nov | Maximum Modulus Principle | VI |
10 | 17, 20 Nov | Riemann Mapping Theorem | VII |
11 | 24, 27 Nov | Weierstrass Factorization Theorem | VII |
12 | 1, 4 Dec | Factorization of sine function | VII |
13 | 8, 11 Dec | Gamma Function | VII |
14 | 15, 18 Dec | Gamma Function | VII |
15 | 22, - Dec | Riemann Zeta Function | VII |
16 | 29, - Dec | Riemann Zeta Function | VII |
Old Exams are on Old Courses Web Page
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