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Mathematical Methods in Physics

The laws of physics are often expressed as differential equations. This course gives you practical knowledge of differential equations and commonly used systems, as well as how to find exact or approximate solutions to them.

The course focuses on ordinary and partial linear differential equations. Topics covered include analysis with calculus of residues, partial differential equations with separation of variables in cartesian, cylindrical and spherical coordinates, series solutions, construction of linearly independent solutions, inhomogeneous partial differential equations with Greens function techniques, Field equations for heat conduction and diffusion and the wave equation. The Dirac delta function. Fourier integrals. Expansion using orthogonal functions. Orthogonal polynomials. The Bessel and Legendre equations. Special functions: Legendre polynomials, spherical harmonics and Bessel functions, and the Laplace transform and its inverse.

  • Course structure

    This is an advanced course given during the daytime.

    Teaching format

    The course consists of both lectures and problem sessions.


    The course is examined through written examination.


    Timothy Linden

    Phone: +468 553 786 17


  • Schedule

    The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.
  • Course literature

    Note that the course literature can be changed up to two months before the start of the course.

    Arfken, Weber & Harris: Mathematical Methods for Physicists, 7th edition, Elsevier Academic Press 2012

  • Course reports

  • More information

    When can I apply?

    Registration is open from mid-March to mid-April for courses that run in the fall, and from mid-September to mid-October for courses that run in the spring.

    Please note that many courses open for late registration in mid-July for courses in the autumn term and in mid-December for courses in the spring term.

    Read our step by step guide on how to apply

  • Contact

    Course coordinator and teacher:
    Timothy Linden, phone: +468 553 786 17, e-mail:

    Problem sessions:
    Ludvico Giorgini, e-mail:

    Hand-in problems:
    Tommasco Bertolini, e-mail:


    Academic advisor at the Department of Physics:

    Student office: