Perturbation Methods

MATH-6620

This course is devoted to advanced methods rather than theory. Content includes such topics as matched asymptotic expansions, multiple scales, WKB, and homogenization. Applications are made to ODEs, PDEs, difference equations, and integral equations. The methods are illustrated using currently interesting scientific and engineering problems that involve such phenomena as boundary or shock layers, nonlinear wave propagation, bifurcation and stability, and resonance.

4 credits

Prereqs:

MATH-2400 Intro Diff Equations

and

MATH-4600 Advanced Calculus

Past Term Data

Offered

Not Offered

Offered as Cross-Listing Only

No Term Data

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	Spring	Summer
		(Session 1)	(Session 2)
2025
2024	Perturbation Methods (4c) Mark H Holmes Seats Taken: 15/25
2023
2022	Perturbation Methods (4c) Ashwani Kumar Kapila Seats Taken: 6/20
2021
2020	Perturbation Methods (4c) Ashwani Kumar Kapila Seats Taken: 19/40
2019
2018	Perturbation Methods (4c) Ashwani Kumar Kapila Seats Taken: 10/30
2017
2016	Perturbation Methods (4c) Ashwani Kumar Kapila Seats Taken: 22/30
2015
2014	Perturbation Methods (4c) Ashwani Kumar Kapila Seats Taken: 15/30
2013
2012	Perturbation Methods (4c) Mark H Holmes Seats Taken: 30/30
2011
2010	Perturbation Methods (4c) Peter R Kramer Seats Taken: 20/30
2009
2008	Perturbation Methods (4c) Michael R. Foster Seats Taken: 15/30
2007
2006	Perturbation Methods (4c) Christopher Wahle Seats Taken: 18/30
2005
2004	Perturbation Methods (4c) Christopher Wahle Seats Taken: 11/30
2003
2002	Perturbation Methods (4c) Ashwani Kumar Kapila Seats Taken: 7/30
2001
2000	Perturbation Methods (4c) Ashwani Kumar Kapila Seats Taken: 8/30
1999
1998