Mathematics 762-763: Integral Equations I,II

Mathematics 762-763: Integral Equations I,II

General Information:

Title:	Mathematics 762-763: Integral Equations I,II
Credits:	3 credits each
Prerequesites:	Mathematics 751
Required for:
Suggested Text:	Linear Integral Equations by R. Kress

Course Description:

Existence and uniqueness of solutions to Fredholm and Volterra integral equations, Fredholm Theory, singular integral equations, and selected advanced topics.

Contents:

1.	Reviews of Normed Spaces
2.	Bounded and Compact Operators
3.	The Riesz Theory
4.	Dual Systems and Fredholm Theory
5.	Regularization in Dual Systems
6.	Potential Theory
7.	Singular Integral Equations
8.	Sobolev Spaces
9.	The Heat Equation
10.	Operator Approximations

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