MATH 503 - Complex Analysis  I
Fall 2016


From John von Neumann: "Young man, in mathematics you don't understand things; you just get used to them."

Also from Neumann: "If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."

So there, go figure yourself.


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:
MON 10:40-12:30  B-110
 
THU  08:40-10:30  B-108  Spare Hour
THU
 09:40-10:30
 B-108

Exams and Grading:

Midterm 1 25%  Take-Home:  Due on 27 October 2016 Thursday - 17:00  Solutions
Midterm 2 25%  Take-Home  Due on 24 November 2016 Thursday - 17:00  Solutions
Final 35%  Take-Home  Due on 22 December 2016 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 will result in an FZ grade. 

 

Homework-1 Due on 13 October 2016 Thursday Class time   Solutions
Homework-2 Due on 10 November 2016 Thursday Class time   Solutions
Homework-3 Due on 8 December 2016 Thursday Class time   Solutions

 

Syllabus:

Week

Date

Subjects to be covered Chapter
1 26, 29 Sep
The Complex Number System
I
2 3, 6 Oct
Metric Spaces
II
3 10, 13 Oct Analytic functions III
4 17,20 Oct
Möbius Transformations
III
5 24, 27 Oct
Complex Integration
IV
6 31 Oct, 3 Nov
Cauchy Integral Formula
IV
7 7, 10 Nov
Singularities V
8 14, 17 Nov
Residues V
9 21, 24 Nov
Maximum Modulus Principle VI
10 28 Nov, 1 Dec
Riemann Mapping Theorem VII
11 5, 8 Dec
Weierstrass Factorization Theorem VII
12 12, 15 Nov
Factorization of sine function VII
13 19, 22 Dec
Gamma Function VII
14 26, 29 Dec
Riemann Zeta Function VII


2016 Fall Semester  
23 September 2016, Friday Classes begin
29 September 2016, Thursday (23:59) Course add/drop deadline
28 October 2016, Friday No classes
2 December 2016, Friday (17:30) Withdraw deadline
30 December 2016, Friday Last day of classes
30 December 2016, Friday (23:00) Deadline for submitting FZ grades for non-qualifying students
2 January 2017, Monday - 
13 January 2017, Friday
Final exams
18 January 2017, Wednesday (17:30) Grade submission deadline for instructors

 


Old Exams
are on Old Courses Web Page

 


Contact address is: