Math 204: Applied Asymptotic Analysis
Spring, 2004

Instructor

John Hunter
e-mail: jkhunter@ucdavis.edu
Phone:
Office: 651 Kerr Hall
Office hours: MWF 1:00–2:00 p.m., 651 Kerr (or by appointment)
Lectures: MWF 12:10–1:00 p.m., Wellman 125
Grade: Will be based on homework and a final assignment.

Lecture notes

Introduction
Asymptotic expansions
Asymptotic expansions of integrals
Method of matched asymptotic expansions: ODEs
Method of multiple scales: ODEs
Prandtl boundary layer theory
Homogenization theory
References

Ship waves can by understood using Kelvin's method of stationary phase:

Laplace on the capillary tube, from Celestial Mechanics, Vol. IV, translated by Nathaniel Bowditch, 1829 (Reprinted by Chelsea Publishing Co, 1966).

Recommended Text

M. H. Holmes, Introduction to Perturbation Theory, Springer-Verlag, 1995. (Not required.)

Problem Sets

Set 1 (due Wed, Apr 14)

Set 2 (due Fri, Apr 23)

Set 3 (due Wed, May 12)

Set 4 (due Wed, June 9)

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