MATH 503 - Complex Analysis  I
Fall 2018

Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121, Phone: 290 1490

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
 08:40-09:40
 Spare Hour
TUE 09:40-10:30  SB-Z10
  Lecture
THU  10:40-12:30  SB-Z10  Lecture

Exams and Grading:

Midterm 1 25%  Take-Home:  Due on 26 October 2018 Friday- 17:00  Solutions
Midterm 2 25%  Take-Home  Due on 14 December 2018 Friday - 17:00  Solutions
Final 35%  Take-Home  Due on 4 January 2019 Friday - 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 12 October 2018 Friday - 17:00   Solutions
Homework-2 Due on 9 November 2018 Friday- 17:00   Solutions
Homework-3 Due on 23 November 2018 Friday - 17:00   Solutions

 

Syllabus:

Week

Date

 Subjects to be covered Chapter
1 25, 27 Sep
 The Complex Number System
 I
2 2, 4 Oct
 Metric Spaces
II
3 9, 11 Oct Analytic functions III
4 16, 18 Oct
 Möbius Transformations
 III
5 23, 25 Oct
 Complex Integration
 IV
6 30 Oct, 1 Nov
 Cauchy Integral Formula
 IV
7 6, 8 Nov
 Singularities V
8 13, 15 Nov
 Residues V
9 20, 22 Nov
 Maximum Modulus Principle VI
10 27, 29 Nov
 Riemann Mapping Theorem VII
11 4, 6 Dec
 Weierstrass Factorization Theorem VII
12 11, 13 Dec
 Factorization of sine function VII
13 18, 20 Dec
 Gamma Function VII
14 25, 27 Dec
 Riemann Zeta Function VII



 


Old Exams are on Old Courses Web Page

 

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