TFYA18 · 6 credits · Advanced level (A1N) · Matematik, Tillämpad matematik, Teknisk fysik, Fysik
Mathematical Methods of Physics
Active · next start HT 2026
100%
passed the latest ordinary exam
TEN1 · 30 Oct 2025 · 18 students
94%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 65 students
14%
Harder than 14% of courses at advanced level
Compared with 285 courses at the same level, ordinary exams over the last three academic years. 32 students.
Part of 2 programmes
Exam
TEN1 A written examination containing theory problems
- 5
- 4
- 3
- U
Ordinary exams
94% passed · 65 students
- 100%18
- 93%14
- 100%14
- 78%9
- 90%10
Re-exams
No sittings with at least 5 students.
- Get 4 or 5: 78% (65 students)
Show small sittings (5)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%2
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- 100%1
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About the course
Aim
Course aim is to make students familiar with physical models and their mathematical analysis. The main objective is to provide the mathematical knowledge of special functions used to solve the most common partial differential equations (PDEs) in physics. Considerable attention will be given to the visualization of solutions for typical physical problems. To achieve this goal, students should be able to:
- model physical systems using partial differential equations,
- apply solution methods to solve partial differential equations,
- use the properties of special functions to solve partial differential equations.
Content
Basic equations of mathematical physics and methods of their solutions: separation of variables, orthogonal set expansion, Fourier- and Laplace integral transforms, Green's functions. Sturm-Liouville problem. Bessel functions. Fourier-Bessel series. Boundary value problems in potential theory. Legendre and associative Legendre polynomials.
Application of Legendre polynomials in potential theory. Spherical harmonics. Temperature and potential problems in spherical symmetry. Schrödinger equation in cylindrical and spherical symmetry. Visualisation of the solutions of wave and heat flow equations, vibration of a circular membrane, potential problems in cylindrical and spherical symmetry, hydrogen atom and free particle in central force problem, temperature distribution in a cylindrical bar and a sphere.
Course contains analysis of important equations for quantum mechanics.
- Examiner
- Iryna Yakymenko
- Scheduled hours
- 48 h
- Main field of study
- Matematik, Tillämpad matematik, Teknisk fysik, Fysik