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FYTN01: Mathematical Methods of Physics, 7.5 credits

given by the Department of Astronomy and Theoretical Physics.

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Contents

The objective of the course is to teach the student more advanced mathematical tools and methods that are useful in physics, and to apply these methods on concrete physical systems. The target of the course is that the student after the course is finished should have acquired the following knowledge and skills:

Analytic functions: the student can describe the Cauchy-Riemann relations, Cauchy's integral formula and Laurent expansion, and masters the calculus of residues.
Special functions: the student can handle the Gamma function, Bessel functions, Legendre polynomials and spherical harmonics.
Fourier analysis: the student can handle Fourier series and Fourier transforms.
Laplace transforms: the student can handle Laplace transforms.
Ordinary differential equations: the student masters series solutions (and can describe concepts such as self-adjoint operators and complete systems of functions).
Partial differential equations: the student is familiar with the more important partial differential equations in physics, such as the wave equation, the heat diffusion equation and Poisson's equation, and masters the method of separation of variables.
Green's functions: the student can describe the method of Green's functions, apply it to one-dimensional systems, and describe the method of images.

General information

Semester: autumn
Study period: 1
Level: master
Language: English
Form of teaching: Lectures and problem solving sessions
Assessment: written exam, hand-in exercises
Grading scale: U-G-VG
Course plan: in English, in Swedish

Course literature

K.F. Riley, M.P. Hobson and S.J. Bence, Mathematical Methods for Physics and Engineering (Cambridge, third edition, 2006).

Teachers

Rikkert Frederix, rikkert.frederix@thep.lu.se, phone 046-22 226893

Introductory Meetings

Information about the compulsory introductory meetings can be found hereLinks to an external site..

Application

Through antagning.se