2006 Fall MATH 233-01
This is an old listing. Please consult the
instructor for current information.
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Bulletin Course Description
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Asymptotic solution of linear and nonlinear ordinary and partial
differential equations. Asymptotic evaluation of integrals. Singular
perturbation. Boundary layer theory. Multiple scale analysis.
Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
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Please review the information below for accuracy. If changes are
required, contact your department DUS or DUS Assistant with the
necessary changes. If the information is correct, continue to the next
sections.
| Title | ASYMP/PERTUR METHODS |
| Department |
MATH |
| Course Number | 233 |
| Section Number |
01 |
| Primary Instructor |
Venakides,Stephanos |
| Permission required? |
N |
| Course Homepage |
www.math.duke.edu/~witelski/233 |
| Undergraduate level courses in ordinary differential equations and complex variables. |
| Synopsis of course content |
| Asymptotic
analysis and perturbation methods provide powerful techniques for
obtaining approximate solutions to complicated problems. Material will
include asymptotics of integrals - Fourier and Laplace transforms, and
solutions of differential equations - WKB theory, boundary layers,
multiple-scale analysis and matched asymptotic expansions. |
Advanced
Mathematical Methods for Scientists and Engineers I: Asymptotic Methods
and Perturbation Theory by C. M. Bender and S. A. Orszag (Required)
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synop@aas.duke.edu
