Methods of Applied Mathematics III - SYLLABUS
|
TOPIC
|
TEXT
|
EXERCISES
|
| Review
of linear analysis and differential equations |
§4.5, §3.2, §3.3 |
1.37,1.39,4.44, 4.51,4.55 |
| Introduction
to asymptotics; Bessel and Airy functions |
|
|
| Asymptotic solutions to nonlinear DEs |
|
|
| Asymptotic expansion of integrals |
|
|
| Stationary phase; steepest descent |
|
|
| Perturbation
theory; matched asymptotic expansions |
|
|
| Boundary layer theory |
|
|
| WKB theory |
|
|
| Multiple-scale analysis |
|
|
| Averaging | 
|
|
