# 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 Introduction to Differential Equations
and
MATH-4600 Advanced Calculus

# Past Term Data
Offered
Not Offered
Offered as Cross-Listing Only
No Term Data
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Detailed View

| Spring | Summer | Fall
--- | --- | --- | ---
| (Session 1) | (Session 2) |
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 |  |  |