MATH 503 - Complex Analysis  I
Fall 2020



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: The course will be conducted online over Zoom
 

MON
15:30-17:20
 Zoom
 Lecture
SAT  08:30-09:20  Zoom  Lecture

Exams and Grading:

Midterm
25%  Take-Home:  Due date TBA  Solutions
Final 25%  Take-Home   Due date TBA  Solutions
Homework 50%  Take-Home  I plan to give at least 5 homework assignments.
 See below.

By Yönetmelik Madde 4.7  here is our FZ grade policy:
Failure to attend at least 50% of the classes or averaging less than 50% from the homework assignments may result in an FZ grade. 

 

Homework-1  Due date TBA
  Solutions
Homework-2  Due date TBA   Solutions
Homework-3  Due date TBA   Solutions
Homework-4  Due date TBA   Solutions
Homework-5  Due date TBA   Solutions

 Grading Key

 [0,40)
[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: