COURSE SYLLABUS

Mathematical Physics 7.5 credits

Matematisk Fysik
First cycle, M0014M
Version
Course syllabus valid: Autumn 2020 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

 Education level First cycle Grade scale G U 3 4 5 Subject Mathematics Subject group (SCB) Mathematics Main field of study Engineering Physics and Electrical Engineering

Entry requirements

In order to meet the general entry requirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language and The Basic Courses in Mathematics M0029M - M0032M or corresponding. Linear Analysis M0018M, or corresponding.

Selection

The selection is based on 1-165 credits.

Course Aim
After finshing the course the student should
- be able to formulate partial differential equations, boundary- and initial conditions, starting with problems from physics and also be able to solve partial differential equations with different methods, for example by expansion in different orthogonal systems or by transform methods and also be able to give a physical intepretation of the solution.
- acquire basic knowledge about the theory of Hilbert spaces including symmetric operators, specially Sturm-Liouville operators.
- acquire basic knowledge of some special functions as orthogonal polynomials and Bessel functions.
- acquire basic knowledge of the theory of distributions and be able to use distributions as the Delta function to describe various physical situations.

Contents
Physical models: Derivation of the heat equation, Laplace´s equation and the wave equation. Boundary- and initial conditions, uniquess- and stability conditions, classification, superposition. d´Alemberts formula for the wave equation. Fouriers method: Separation of variables. Eigenfunction expansion methods, the use of Fourier- and Laplacetransforms. Function spaces: Orthogonal projections, convergence in norm, symmetric operators, Sturm-Liouville operators, generalized Fourierseries, Bessel- and Legendrefunctions, distributions, Laplace- and Fouriertansforms.

Realization
Lectures and lessons.

Examination
Written exam.

Remarks
The course is given in Swedish.

Examiner
Thomas Strömberg

Transition terms
The course M0014M is equal to MAM236

Literature. Valid from Autumn 2007 Sp 1 (May change until 10 weeks before course start)
G Sparr, A Sparr: Kontinuerliga system, Studentlitteratur 2000 eller senare.
G Sparr, A Sparr: Övningsbok till Kontinuerliga system

Course offered by
Department of Engineering Sciences and Mathematics

Modules