Math 224B: Mathematical Methods for the Physical Sciences, Spring 2006


Lecture: MWF 10-11 AM, 39 Evans

Instructor: Jon Wilkening, wilken@math.berkeley.edu

Course webpage: http://math.berkeley.edu/~wilken/224B.S06

Office: 1091 Evans, (510) 643-7990 or (510) 486-7006.

Office hours: Monday 11-12, Wednesday 2-3


Course Description

Prerequisites: Advanced Calculus, Complex Analysis, some experience with Partial Differential Equations. (224A is not a prerequisite)

Required Text:
Ivar Stakgold, Green's Functions and Boundary Value Problems

Related Texts:
Coddington and Levinson, Theory of Ordinary Differential Equations
M. A. Naimark, Linear Differential Operators, Part I
Courant and Hilbert, Methods of Mathematical Physics, Volume I
Gerald Folland, Introduction to Partial Differential Equations
N. I. Muskhelishvili, Singular Integral Equations
C. Pozrikidis, Boundary integral and singularity methods for linearized viscous flow

Grading:
The grade will be based entirely on homework, which will be assigned every two weeks.
(7 assignments)

Content:
In this course, we will study classical boundary value problems in one and several dimensions using Green's functions, spectral theory, layer potentials and Cauchy integrals. A rough plan for the course is as follows: I'll hand out copies of the relevant background material from the texts other than Stakgold.