Mathematics 752-753: Complex Analysis I, II

General Information:

Title:	Mathematics 752-753: Complex Analysis I, II
Credits:	3 credits each
Prerequesites:	Mathematics 451
Required for:	Mathematics 786-787. Math 452 allows fills the prerequisite requirement for Math 786-787.
Suggested Texts:	Ahlfors, Conway, Hille (two volumes), Nehari, Saks & Zygmund

Course Description:

Analytic and harmonic functions, power series, conformal mapping, contour integration and the calculus of residues, analytic continuation, meromorthic and entire functions, and selected topics.

Material Covered:

Analytic functions

Power series

Laurent series

Complex integration

Analytic continuation

The residue calculus

Conformal mapping

Entire functions

Picard's Theorems

Harmonic functions

Supplementary Material

Partial fractions

Infinite products

Dirichlet series and Euler products

Riemann zeta function

Hypergeometric functions

Elliptic functions

Applications

Goals:

Current Syllabus (Fall 1999-2000)

Note:

Special Needs: "Any students with disabilities or other special needs, who need special accommodations in the course, are invited to share these concerns or requests with the instructoras soon as possible."
Academic Honesty: All work in this course must be completed in a manner consistent with NDSU University Senate Policy, Section 335: Code of Academic Responsibility and Conduct.

Last Modified: October 23, 1999
ndsu_math@ndsu.nodak.edu