Mathematical Methods in Physics
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.
This is an advanced course given during the daytime.
Teaching Format
The course consists of both lectures and problem sessions.
Assessment
The course is examined through written examination.
Examiner
Arfken, Weber & Harris: Mathematical Methods for Physicists, 7th edition, Elsevier Academic Press 2012
Course coordinator and teacher:
Maria Hermanns, phone: +46 8 553 787 43, e-mail: maria.hermanns@fysik.su.se
Problem sessions:
Alexander Fagerlund, e-mail: alexander.fagerlund@fysik.su.se
Hand-in problems:
Tommasco Bertolini, e-mail: tommaso.bertolini@fysik.su.se
Academic advisor at the Department of Physics: studievagledare@fysik.su.se
Student office: studentexp@fysik.su.se
