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 |
Exams and Grading:
| 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% | |
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By Yönetmelik Madde 4.7 here is
our FZ grade policy: |
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| 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.. |
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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
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