MATH 503  Complex
Analysis I
Fall 2020
Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA121
Text Books:
Functions of One Complex Variable, 2nd edition,
John. B. Conway, GTM 11, SpringerVerlag, 1978.
You can legally download a pdf copy of this book
from
http://link.springer.com/book/10.1007/9781461263135
but you must be using a computer within the Bilkent domain.
Schedule: The course will be conducted online over
Zoom
MON 
15:3017:20 
Zoom 
Lecture 
SAT  08:3009:20  Zoom  Lecture 
Exams and Grading:
Midterm 
25%  TakeHome:  Due date TBA  Solutions 
Final  25%  TakeHome  Due date TBA  Solutions 
Homework  50%  TakeHome  I plan to give at least 5
homework assignments. See below. 

By Yönetmelik Madde 4.7 here is
our FZ grade policy: 
Homework1  Due date TBA 
Solutions 
Homework2  Due date TBA  Solutions 
Homework3  Due date TBA  Solutions 
Homework4  Due date TBA  Solutions 
Homework5  Due date TBA  Solutions 
Grading Key
[0,40)  F 
[40,45)  D 
[45,50)  D+ 
[50,53)  C 
[53,55)  C 
[55,57)  C+ 
[57,60)  B 
[60,65)  B 
[65,68)  B+ 
[68,71)  A 
[71,100]  A 
Syllabus:
Week 
Date 
Subjects to be covered  Chapter 
1  19 Sep 
The Complex Number System 
I 
2  21, 26 Sep 
Metric Spaces 
II 
3  28 Sep, 3 Oct 
Analytic functions  III 
4  5, 10 Oct 
Möbius Transformations 
III 
5  12, 17 Oct 
Complex Integration 
IV 
6  19, 24 Oct 
Cauchy Integral Formula 
IV 
7  26, 31 Oct 
Singularities  V 
8  2,7 Nov 
Residues  V 
9  9, 14 Nov 
Midterm week  No Classes 

10  16, 21 Nov 
Riemann Mapping Theorem  VII 
11  23, 28 Nov 
Weierstrass Factorization Theorem  VII 
12  30 Nov, 5 Dec 
Factorization of sine function  VII 
13  7, 12 Dec 
Gamma Function  VII 
14  14, 19 Dec 
Riemann Zeta Function  VII 
15 
21 Dec 
Distribution of primes 
Old Exams are on Old Courses Web Page
Contact address is: