MATH 704: Functions of a Complex Variable II
Spring 2011
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Description:
This is the continuation of the Fall 2010 course Math 703. We will further discuss
topics in classical complex analysis with some emphasis on the geometric viewpoint.
Left: A conformal grid and tiling associated with the modular group acting on the upper half plane.
See Arnuad Cheritat's gallery at
http://www.math.univ-toulouse.fr/~cheritat
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Lecturer:
Saeed Zakeri
Office: Room 4302, Tel: (212) 817-8559
Office Hours: By appointment
Class meetings: Wednesday 2:00-3:30PM and Friday 11:45AM-1:15PM, Room 5417
email: saeed DOT zakeri AT qc DOT cuny DOT edu
Announcements:
- 5/14: The final exam will be take-home. Details will be announced soon.
- 5/13: There will be an additional lecture on Wednesday 5/18: We will meet in room 3309, 12:00-1:30PM, for the first lecture. We will then meet as usual in room 5417, 2:00-3:30PM. Both lectures will be on elliptic functions.
- 3/19: A new chapter 8 and a substantially revised chapter 3 are now available on the References page. Comments are welcome!
- 3/12: Please note the new date for the midterm: Wednesday March 23. It will cover infinite products, Weierstrass theory of elementary factors,
theorems of Mittag-Leffler and Runge, Jensen's Formula, and entire maps of finite order.
- 3/1: Homework 3 will be posted a little later this week. That's because I need to spend one more lecture on Runge's Theorem and its consequences tomorrow.
- 2/21: We're hit by another cancelation! There will be no class on Wednesday 2/23 (Monday schedule). Lecture will resume on Friday 2/25,
continuing the discussion of Runge's theorem. Homework will follow the regular schedule though.
- 2/6: There will be no class on Friday 2/11 (Lincoln birthday). The first homework will be due on Friday 2/18 instead.
General Information:
- Homework will be assigned roughly every week and is an absolutely essential part of the course.
You are strongly advised to work on all the homework problems to make sure you are keeping pace with the class.
You are also encouraged to work together on these problems, but the work that you hand in must be your own write up.
- Course grade is based on the following scheme:
| Homework | Midterm | Final
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| 20% | 30% | 50%
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- Exams are scheduled as follows:
| Midterm | Final
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| Wednesday March 23 (in class) | TBA
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Please take note of the following:
- If the midterm exam is missed because of a documented illness
or valid emergency, the course grade will be determined on the basis
of the other work done during the semester. Exams missed for other
reasons will count as failures.
- At the end of the semester, everyone who has
not withdrawn from the class will receive a grade. Incompletes will
not be given to avoid unsatisfactory grades.
Saeed Zakeri
Syllabus