MATH 503 - Complex
Analysis I
Fall 2016
From John von Neumann: "Young man, in
mathematics you don't understand things; you just get
used to them."
Also from Neumann: "If people do not believe that
mathematics is simple, it is only because they do not
realize how complicated life is."
So there, go figure yourself.
Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: By
Appointment
Text Books:
Functions of One Complex Variable, 2nd edition,
John. B. Conway, GTM 11, Springer-Verlag, 1978.
You can legally download a pdf copy of this book
from
http://link.springer.com/book/10.1007/978-1-4612-6313-5
but you must be using a computer within the Bilkent domain.
Schedule:
| MON | 10:40-12:30 | B-110 |
|
| THU | 08:40-10:30 | B-108 | Spare Hour |
| THU |
09:40-10:30 |
B-108 |
Exams and Grading:
| Midterm 1 | 25% | Take-Home: | Due on 27 October 2016 Thursday - 17:00 | Solutions |
| Midterm 2 | 25% | Take-Home | Due on 24 November 2016 Thursday - 17:00 | Solutions |
| Final | 35% | Take-Home | Due on 22 December
2016 Thursday - 17:00 |
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. These quiz 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 2016 Thursday Class time | Solutions |
| Homework-2 | Due on 10 November 2016 Thursday Class time | Solutions |
| Homework-3 | Due on 8 December 2016 Thursday Class time | Solutions |
Syllabus:
| Week |
Date |
Subjects to be covered | Chapter |
| 1 | 26, 29 Sep |
The Complex Number System |
I |
| 2 | 3, 6 Oct |
Metric Spaces |
II |
| 3 | 10, 13 Oct | Analytic functions | III |
| 4 | 17,20 Oct |
Möbius Transformations |
III |
| 5 | 24, 27 Oct |
Complex Integration |
IV |
| 6 | 31 Oct, 3 Nov |
Cauchy Integral Formula |
IV |
| 7 | 7, 10 Nov |
Singularities | V |
| 8 | 14, 17 Nov |
Residues | V |
| 9 | 21, 24 Nov |
Maximum Modulus Principle | VI |
| 10 | 28 Nov, 1 Dec |
Riemann Mapping Theorem | VII |
| 11 | 5, 8 Dec |
Weierstrass Factorization Theorem | VII |
| 12 | 12, 15 Nov |
Factorization of sine function | VII |
| 13 | 19, 22 Dec |
Gamma Function | VII |
| 14 | 26, 29 Dec |
Riemann Zeta Function | VII |
| 2016 Fall Semester | |
|---|---|
| 23 September 2016, Friday | Classes begin |
| 29 September 2016, Thursday (23:59) | Course add/drop deadline |
| 28 October 2016, Friday | No classes |
| 2 December 2016, Friday (17:30) | Withdraw deadline |
| 30 December 2016, Friday | Last day of classes |
| 30 December 2016, Friday (23:00) | Deadline for submitting FZ grades for non-qualifying students |
| 2 January 2017, Monday - 13 January 2017, Friday |
Final exams |
| 18 January 2017, Wednesday (17:30) | Grade submission deadline for instructors |
Old Exams are on Old
Courses Web Page
Contact address is:
