Course - Mathematical Approximation Methods in Physics - FY8304
FY8304 - Mathematical Approximation Methods in Physics
About
Examination arrangement
Examination arrangement: School exam
Grade: Passed / Not Passed
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | C |
Course content
The course is given every second year, and is given autumn 2024. 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 candidate should have knowledge about the most useful methods for finding approximate analytical solutions of mathematical problems which often occur when modeling physical systems.
Skills
The candidate should be able to
- identify various classes of mathematical problems
- simplify or rewrite the problem to a form which enables use of an appropriate method
- apply the method to find an approximate analytical solution
General competence
The candidate should
- know about relevant mathematical reference works and software
- be able to use these to find/extract information efficiently
Learning methods and activities
Lectures and problem sessions. Some problems make use of mathematical software. When lectures and lecture material are in English, the exam may be given in English only.
Further on evaluation
Exam registration requires course registration in the same semester.
If there is a re-sit examination, the examination form may be changed to oral.
Specific conditions
Admission to a programme of study is required:
Biophysics (PHBIFY)
Physics (PHFY)
Recommended previous knowledge
Mathematical knowledge and maturity as obtained through a completed (theoretically oriented) master's 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 | To |
|---|---|---|---|
| DIF4943 | 7.5 | ||
| FY3107 | 7.5 | AUTUMN 2018 |
No
Version: 1
Credits:
7.5 SP
Study level: Doctoral degree level
Term no.: 1
Teaching semester: AUTUMN 2024
Language of instruction: English, Norwegian
Location: Trondheim
- Physics
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 C INSPERA
-
Room Building Number of candidates - Spring UTS School exam 100/100 C INSPERA
-
Room Building Number of candidates
- * 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.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"