MATH 504 - Complex Analysis II
Spring 2013
Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Wednesday 13:40-15:30
Text Books:
Complex Functions-An algebraic and geometric viewpoint, Gareth A.
Jones and David Singerman, Cambridge University Press, 1987.
Schedule:
MON | 13:40-15:30 | SAZ-03 | |
WED | 15:40-17:30 | SAZ-03 |
Syllabus:
Week |
Date |
Subjects to be covered | Chapters |
1 | 4, 6 Feb | Riemann Sphere | 1 |
2 | 11, 13 Feb | Mobius transformations | 2 |
3 | 18, 20 Feb | Classification of Mobius transformations | 2 |
4 | 25, 27 Feb | Elliptic functions-first properties | 3 |
5 | 4, 6 Mar | Elliptic functions-general properties | 3 |
6 | 11, 13 Mar | Elliptic functions-construction | 3 |
7 | 18, 20 Mar | Analytic continuation | 4 |
8 | 25, 27 Mar | Monodromy | 4 |
9 | 1, 3 Apr | Sheaf of germs of meromorphic functions | 4 |
10 | 8, 10 Apr | Genus of a compact Riemann surface | 4 |
11 | 15, 17 Apr | PSL(2,R) and its discrete subgroups | 5 |
12 | 24 Apr | Algebraic properties of Fuchian groups | 5 |
13 | 29 Apr | Automorphisms of compact Riemann surfaces | 5 |
14 | 6, 8 May | Modular group | 6 |
15 | 13, 15 May | Relations with elliptic curves | 6 |
Exams and Grading:
Take Home exams | 100% |
There will be no final exam in this course.
Due date is 11 March 2013 Monday |
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Due date is 15 March 2013 Friday |
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Due date is 20 March 2013 Wednesday |
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Due date is 25 March 2013 Monday |
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Due date is 17 April 2013 Wednesday |
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Due date is 29 April 2013 Monday |
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Due date is 6 May 2013 Monday |
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Due date is 13 May 2013 Monday | ||
Due date is 15 May 2013 Wednesday |
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