2006 Fall
Ali Sinan
Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Wednesday 13:40-15:30 or by appointment
Schedule:
MON 8:40-10:30 SAZ-19
WED 10:40-12:30 SAZ-19
Text Book: Complex Analysis, 2nd Edition, Bak and Newman. Springer, 1997.
Syllabus:
Real improper integrals via residue theory
Applications of residues to infinite series
Further applications of residues
Conformal mappings and linear fractional transformations
Riemann mapping theorem
Maximum modulus theorem
Harmonic functions
Infinite products
Power series and natural boundaries
Gamma function
Zeta function
Prime number theorem
Grading and Exams:
| Midterm 1 | 25% | 11 October 2006 Wednesday | 10:40-12:30 | SAZ-19 | ||
| Midterm 2 | 25% | 20 November 2006 Monday | 8:40-10:30 | SAZ-19 | ||
| Homework | 25% | |||||
| Final | 25% | 28 December 2006 Thursday | 12:30 | SAZ04 | ||
| Make-up | 29 December 2006 Friday | 10:00 | SA-141 |
All homeworks and solutions will be announced here in Acrobat format (pdf) for which you need to download Acrobat Reader if that is not already installed on your machine.
Homework-1 (due 9 October)
Solutions
Homework-2 (due 8 November)
Solutions
Homework-3 (due 11 December)
Solutions
Homework-4 (due 20 December)
Solutions