100312 Introductory Complex Analysis

Course offering details

Instructors: Dr. Pavel Tumarkin

Type: Lecture

Org-unit:

Course Name Abbreviation: ComplexAnal

Hours per week: 3

Credits: 7.50

Min. | Max. participants: - | -

Partial Grades:
Final Grade

Official Course Description:
This course introduces the theory of functions of one complex variable. It centers around the notion of complex differentiability and its various equivalent characterizations. Unlike differentiability for real functions, complex differentiability is a very strong property; for example it implies that the function is differentiable infinitely often and that it is represented by its Taylor series in a neighborhood of every point in its domain of definition. This results in a very nice and elegant theory that is used in many areas of mathematics.
Topics include holomorphic functions, Cauchy integral theorem and formula, Liouville's theorem, fundamental theorem of algebra, isolated singularities and Laurent series, analytic continuation and monodromy theorem, residue theorem, Riemann mapping theorem. Possible further topics are elliptic and modular functions, the Riemann zeta function, introduction to Riemann surfaces.

Literature
Primary Text
  • Complex analysis
Required Reading (To view a list click a category.)
Recommended Reading (To view a list click a category.)
Appointments
Date From To Room Instructors
1 Th, 1. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
2 Fri, 2. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
3 Th, 8. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
4 Fri, 9. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
5 Th, 15. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
6 Fri, 16. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
7 Th, 22. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
8 Fri, 23. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
9 Th, 29. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
10 Fri, 30. Sep. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
11 Th, 6. Oct. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
12 Fri, 7. Oct. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
13 Th, 13. Oct. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
14 Fri, 14. Oct. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
15 Th, 20. Oct. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
16 Fri, 21. Oct. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
17 Th, 27. Oct. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
18 Fri, 28. Oct. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
19 Th, 3. Nov. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
20 Fri, 4. Nov. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
21 Th, 10. Nov. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
22 Fri, 11. Nov. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
23 Th, 17. Nov. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
24 Fri, 18. Nov. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
25 Th, 24. Nov. 2011 13:00 14:15 East Hall 4 Dr. Pavel Tumarkin
26 Th, 24. Nov. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
27 Fri, 25. Nov. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
28 Th, 1. Dec. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
29 Fri, 2. Dec. 2011 14:15 15:30 East Hall 4 Dr. Pavel Tumarkin
Course specific exams
Description Date Instructors Mandatory
1. Final Grade Tue, 20. Dec. 2011 09:00-11:00 Dr. Pavel Tumarkin Yes
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Undergraduate Programs > Mathematics
Class Session Overview
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Instructors
Dr. Pavel Tumarkin