MATH 503 Fall 2020

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
17:30-19:20
Zoom
Lecture

SAT 08:30-09:20 Zoom Lecture

Exams and Grading:

Midterm	25%	Take-Home:	Due date 18 November 2020 Wednesday	Solutions
Final	25%	Take-Home	Due date 31 December 2020 Thursday	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.

Grading Key

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 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, 26 Dec	Schwarz's Lemma	VI

Old Exams are on Old Courses Web Page

Contact address is: