Course syllabus adopted 2021-09-14 by Head of Programme (or corresponding).
Overview
- Swedish nameMatematisk fysik
- CodeFTF131
- Credits4.5 Credits
- OwnerTKTFY
- Education cycleFirst-cycle
- Main field of studyEngineering Physics
- DepartmentPHYSICS
- GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Course round 1
- Teaching language Swedish
- Application code 57128
- Maximum participants60
- Open for exchange studentsNo
- Only students with the course round in the programme overview.
Credit distribution
Module | Sp1 | Sp2 | Sp3 | Sp4 | Summer | Not Sp | Examination dates |
|---|---|---|---|---|---|---|---|
| 0100 Examination 4.5 c Grading: TH | 4.5 c |
|
In programmes
Examiner
- Henrik Johannesson
- Professor Emeritus, Institution of physics at Gothenburg University
Eligibility
General entry requirements for bachelor's level (first cycle)Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Specific entry requirements
The same as for the programme that owns the course.Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.
Course specific prerequisites
Basic courses on calculus, diffrential equations, complex analysis, and linear algebra.Aim
Mathematics has proven to be inexplicably successful in describing natural phenomena, to the extent that it can be regarded as the language of physics. In this course we will refresh much of the mathematical knowledge that you have learned in other courses, apply it to various physical systems, and even learn some new mathematical techniques that are a useful part of a physicist's vocabulary. We will focus on analytic methods, and discuss computational approaches only in exceptional cases.Learning outcomes (after completion of the course the student should be able to)
- construct and analyze quantitative models for naturally occuring phenomena - apply exact and approximate methods to evaluation of sums and integrals, and to solution of differential and integral equations - formulate physical laws in terms of variational principles and discuss the consequences of variational principles on the behaviors of physical systems - perform symmetry analysis of simple systems
Content
1. Differential equations: a review, 2. Evaluation of integrals: method of residues, saddle point integration, 3. Hilbert spaces, 4. Green's function, 5. Integral equations: separable kernels, Neumann series, Schmidt-Hilbert theory, 6. Calculus of variations: functional derivatives, Euler equation, 7. Introduction to groups and representations. 8. Some basic concepts in topology.
Organisation
Lectures and recitations.
Literature
Please see http://fy.chalmers.se/~tfkhj/MF.html.
Examination including compulsory elements
Homework problems for grade 3; homework problems and an oral exam for grade 4 or 5The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.