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Syllabus for

Academic year
FTF131 - Mathematical physics
 
Owner: TTFYA
3,0 Credits (ECTS 4,5)
Grading: TH - Five, Four, Three, Not passed
Level: C
Department: 16 - PHYSICS


Teaching language: English

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0100 Examination 3,0 c Grading: TH   3,0 c   20 Oct 2005 am V

In programs

TTFYA ENGINEERING PHYSICS, Year 3 (compulsory)

Examiner:

Professor  Jari Kinaret



Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

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.

After successfully completing this course you will have further developed your analytical skills in a way that improves your ability to construct and analyze quantitative models of natural phenomena. This is both a valuable skill on its own as well as useful preparation for advanced courses in physics.

Content

1. Differential equations: a review,
2. Evaluation of integrals: standard techniques, method of
residues, saddle point integration,
3. Linear algebra: a review,
4. Green's function,
5. Integral equations: separable kernels, Neumann and Fredholm series,
Schmidt-Hilbert theory,
6. Calculus of variations: functional derivatives, Euler-Lagrange equation,
7. Symmetry: group theory.

Literature

F.W.Byron, R.W.Fuller: Mathemathics of classical and quantum physics.
C.M.Bender,S.A.Orzag: Advanced mathemathical methods for scientists and engineers.

Examination

Weekly graded problem sets (50%), oral examination (50%).
Passing requires a satisfactory performance on both problem sets
and the oral examination.


Page manager Published: Mon 28 Nov 2016.