MATH 503 - Complex Analysis  I
Fall 2017

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:
TUE 13:40-15:30  B-105
  
THU  15:40-16:30  B-105  
THU
  16:40-17:30
  B-108
  Spare Hour

Special Schedue for the first two weeks:
19 September: 2 hours + 21 September: 2 hours
26 September: No class + 28 September: 2 hours

Also:
5 October: No class; instead 12 October: 2 hours
2 November: No class; instead 9 November: 2 hours
7 December: No class; instead 14 December: 2 hours
Thus eventually we will have 3x14=42 hours of class for the semester.

Exams and Grading:

Midterm 1 25%  Take-Home:  Due on 19 October 2017 Thursday - 17:00  Solutions
Midterm 2 25%  Take-Home  Due on 12 December 2017 Tuesday - 17:00  Solutions
Final 35%  Take-Home  Due on 4 January 2018  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:
Failure to attend at least 50% of the classes or averaging less than 40% from the two midterms may result in an FZ grade. 

 

Homework-1 Due on 5 October 2017 Thursday - 17:00   Solutions
Homework-2 Due on 2 November 2017 Thursday - 17:00   Solutions
Homework-3 Due on 16 November 2017 Thursday - 17:00   Solutions

 

Syllabus:

Week

Date

 Subjects to be covered Chapter
1 19, 21 Sep
 The Complex Number System
 I
2 28 Sep
Metric Spaces
II
3 3 Oct Analytic functions III
4 10,12 Oct
 Möbius Transformations
 III
5 17, 19 Oct
 Complex Integration
 IV
6 24, 26 Oct
 Cauchy Integral Formula
 IV
7 31 Oct
 Singularities V
8 7, 9 Nov
 Residues V
9 14, 16 Nov
 Maximum Modulus Principle VI
10 21, 23 Nov
 Riemann Mapping Theorem VII
11 28, 30 Nov
 Weierstrass Factorization Theorem VII
12 5 Dec
 Factorization of sine function VII
13 12, 14 Dec
 Gamma Function VII
14 19, 21 Dec
 Riemann Zeta Function VII



 


Old Exams are on Old Courses Web Page

 

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