FY3107 - Mathematical Approximation Methods in Physics

About

New from the academic year 2014/2015

Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Written examination 100/100 4 hours C

Course content

The course is taught every second year, next time fall 2014. 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

Knowledge:
The students should become familiar with a toolbox of standard approximation methods for analysis of mathematical problems which often occur when modeling physical systems, and know how this can be combined with numerical tools.
Skills and general competence:
The students should become able to approach any mathematically
formulated problem with confidence that it can be solved in at least some
limiting cases. The students should become skilled in simplifying complicated mathematical problems to analyzable form, and to perform the subsequent analysis.

Learning methods and activities

Lectures and problem sessions. Some problems may be formulated to be solved by use of computer algebra programs. When lectures and lecture material are in English, the exam may be given in English only.
The re-sit examination (in August) may be changed from written to oral.

Course materials

Literature: C.M. Bender and S.A. Orszag: Advanced Mathematical Methods for Scientists and Engineeres, McGraw-Hill 1978.

Examination

Examination arrangement: Written examination

Term Statuskode Evaluation form Weighting Examination aids Date Time Room *
Autumn ORD Written examination 100/100 C 2014-12-03 09:00 E4
Summer KONT Written examination 100/100 C 2015-08-07 09:00 DI42
  • * The location (room) for a written examination is published 3 days before examination date.
If more than one room is listed, you will find your room at Studentweb.