100312 Introductory Complex Analysis

Course offering details

Instructors: Ph.D. Russell Lodge

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 Tue, 3. Sep. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
2 Th, 5. Sep. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
3 Tue, 10. Sep. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
4 Th, 12. Sep. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
5 Tue, 17. Sep. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
6 Th, 19. Sep. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
7 Tue, 24. Sep. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
8 Th, 26. Sep. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
9 Tue, 1. Oct. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
10 Tue, 8. Oct. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
11 Th, 10. Oct. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
12 Tue, 15. Oct. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
13 Th, 17. Oct. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
14 Th, 24. Oct. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
15 Tue, 29. Oct. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
16 Th, 31. Oct. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
17 Tue, 5. Nov. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
18 Th, 7. Nov. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
19 Tue, 12. Nov. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
20 Th, 14. Nov. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
21 Tue, 19. Nov. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
22 Th, 21. Nov. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
23 Tue, 26. Nov. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
24 Th, 28. Nov. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
25 Tue, 3. Dec. 2013 09:45 11:00 East Hall 8 Ph.D. Russell Lodge
26 Th, 5. Dec. 2013 08:15 09:30 East Hall 8 Ph.D. Russell Lodge
27 Mon, 16. Dec. 2013 12:30 14:30 East Hall 4 Ph.D. Russell Lodge
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date No
2. Final Grade No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Mathematical Sciences > Undergraduate Level Courses
Class Session Overview
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Instructors
Ph.D. Russell Lodge