MATH 202 - Complex Analysis
Fall 2015

Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121

Office Hours:
Monday 13:40-15:30

Text Books:
Complex Variables with Applications, S. Ponnusamy, H. Silverman, 2006, Birkhauser

Schedule:
 MON 15:40-16:30 SAZ-18 THU 13:40-15:30 SAZ-18

 Midterm 1 25% 17 October 2015 Saturday 10:00, SAZ18 Solution Midterm 2 25% 28 November 2015 Saturday 10:00, SAZ18 Solution Makeup 21 December 2015 Monday 17:30, SAZ-03 Solution Final 35% 4 January 2016 Monday 18:30, SAZ-18 Solution Homework 15% By Yönetmelik Madde 4.7  here is our FZ grade policy: Minimum Requirements to Qualify for the Final Exam: Sum of two midterm grades (each out of 100) at least 40.

 Homework-1 Due on 21 September 2015 Monday Class time Solution Homework-2 Due on  26 October 2015 Monday Class time Solution Homework-3 Due on 19 November 2015 Thursday Class time Solution Homework-4 Due on 14 December 2015 Monday  Class time Solution Homework-5 Due on  21 December 2015 Monday Class time Solution Your homework will be read and graded by your assistant Bekir Danış who has full command of the subject material. His email address is bekir.danis@bilkent.edu.tr Direct all your queries about homework to your assistant..

The course will be graded according to  the following catalogue:

 [0,34) F [34,40) D [40,44) D+ [44,50) C- [50,55) C [55,59) C+ [59,63) B- [63,65) B [65,70) B+ [70,75) A- [75,100] A

Syllabus:

 Week Date Hours Subjects to be covered Chapter 1 10 Sep 2 Complex numbers, representations, roots 1 2 14, 17 Sep 3 Topology of the complex line 2 3 21 Sep 1 Stereographic projection 2 4 28 Sep, 1 Oct 3 Linear fractional transformations 3 5 5, 8 Oct 3 Complex exponential function 4 6 12, 15 Oct 3 Complex logarithm 4 7 19, 22 Oct 3 Cauchy-Riemann equations 5 8 26 Oct 1 Harmonic functions 5 9 2, 5 Nov 3 Power series 6 10 9, 12 Nov 3 Complex integration and Cauchy theorem 7 11 19 Nov 2 Applications of Cauchy theorem 8 12 23, 26 Nov 3 Maximum modulus theorem 8 13 30 Nov, 3 Dec 3 Laurent series 9 14 7, 10 Dec 3 Classification of singularities 9 15 14, 17 Dec 3 Evaluating real integrals 9 16 21, 24 Dec 3 Argument principle 9

Old Exams are on Old Courses Web Page