100312 Introductory Complex Analysis

Course offering details

Instructors: Prof. Dr. Dierk Schleicher

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
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 Wed, 2. Feb. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
2 Mon, 7. Feb. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
3 Wed, 9. Feb. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
4 Mon, 14. Feb. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
5 Wed, 16. Feb. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
6 Mon, 21. Feb. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
7 Wed, 23. Feb. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
8 Mon, 28. Feb. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
9 Wed, 2. Mar. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
10 Mon, 7. Mar. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
11 Wed, 9. Mar. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
12 Mon, 14. Mar. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
13 Wed, 16. Mar. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
14 Mon, 21. Mar. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
15 Wed, 23. Mar. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
16 Mon, 28. Mar. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
17 Wed, 30. Mar. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
18 Mon, 4. Apr. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
19 Wed, 6. Apr. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
20 Mon, 11. Apr. 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
21 Wed, 13. Apr. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
22 Wed, 27. Apr. 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
23 Mon, 2. May 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
24 Wed, 4. May 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
25 Mon, 9. May 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
26 Wed, 11. May 2011 08:15 09:30 West Hall 8 Prof. Dr. Dierk Schleicher
27 Mon, 16. May 2011 09:45 11:00 West Hall 8 Prof. Dr. Dierk Schleicher
Course specific exams
Description Date Instructors Mandatory
1. Final Grade Wed, 25. May 2011 16:00-18:00 Prof. Dr. Dierk Schleicher No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Undergraduate Programs > Mathematics
Class Session Overview
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Instructors
Prof. Dr. Dierk Schleicher