MATH 503  Complex
Analysis I
Fall 2018
Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA121,
Phone: 290 1490
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:
TUE 
08:4009:40 
Spare Hour 

TUE  09:4010:30  SBZ10 
Lecture 
THU  10:4012:30  SBZ10  Lecture 
Exams and Grading:
Midterm 1  25%  TakeHome:  Due on 26 October 2018 Friday 17:00  Solutions 
Midterm 2  25%  TakeHome  Due on 14 December 2018 Friday  17:00  Solutions 
Final  35%  TakeHome  Due on 4 January 2019
Friday  17:00 
Solutions 
Homework  15%  TakeHome  
Note: After each takehome work there may be in class quizzes to check your understanding of what you wrote in the takehome work. These quiz questions will be tailored separately for each student. Your questions will be related to those answers you gave in the takehome work without convincing me that you totally understood what you wrote. Your grade for that takehome will be determined after this quiz.  
By Yönetmelik Madde 4.7 here is
our FZ grade policy: 
Homework1  Due on 12 October 2018 Friday  17:00  Solutions 
Homework2  Due on 9 November 2018 Friday 17:00  Solutions 
Homework3  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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