2010 Spring MATH 233-01
Bulletin Course Description 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.)
Title ASYMP/PERTUR METHODS Department MATH Course Number 2010 Spring 233 Section Number 01 Primary Instructor Nolen,James H Prerequisites Prerequisite: Mathematics 108 or equivalent. Course Homepage www.math.duke.edu/~nolen/M233/M233.html
Synopsis of course content
Asymptotic analysis and perturbation methods provide powerful techniques for obtaining approximate solutions to complicated problems. This course covers techniques that are applicable to ordinary differential equations, partial differential equations, and the evaluation of integrals. In particular, we will cover regular and singular perturbation, asymptotic expansions, asymptotics of integrals, Laplace's method, the method of stationary phase, WKB theory, boundary layers, multiple-scale analysis, and matched asymptotic expansions. The course is a graduate level course intended for students in the sciences, engineering, and mathematics.
Textbooks
TBA
Assignments
Problem sets
Exams
There will be a comprehensive final exam.
Grade to be based on
Problem sets, and the final exam.
Additional Information
Prerequisites: ordinary differential equations and complex analysis at the undergraduate level. Students outside mathematics are encouraged to register. Please contact the instructor if you have questions about the material and prerequisites.
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