Course - Mathematical Approximation Methods in Physics - FY8304
Mathematical Approximation Methods in Physics
About
About the course
Course content
The course is taught every second year, next time fall 2010. The aim of the course is to give an introduction to, and training of, useful methods of finding approximate solutions to physics problems, in particular situations where regular perturbation expansions cannot be used. Even in cases where a given problem must be treated numerically, approximative solutions may give valuable information of qualitative behaviour for choice and implementation of numerical method. The course covers e.g. local analysis of differential equations, approximate evaluation of integrals, asymptotic expansions, singular perturbation expansions, the boundary layer method, the WKB method, multiple scale expansions.
Learning outcome
The student is expected to obtain insight into how various physics problems may be attacked and solved with approximate mathematical methods.
Learning methods and activities
Lectures and problem sessions. Some problems may be formulated to be solved by use of computer algebra programs.
Recommended previous knowledge
Mathematical knowledge and maturity as obtained through a completed (theoretically oriented) masters degree in physics.
Course materials
Literature: C.M. Bender and S.A. Orszag: Advanced Mathematical Methods for Scientists and Engineeres, McGraw-Hill 1978.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| DIF4943 | 7.5 sp | |
| FY3107 | 7.5 sp |
Subject areas
- Physics