Mathematical Methods in Physics
7.5 credits cr.
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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.
Teaching during the autumn term 2020
In the autumn of 2020, lectures in the course Mathematical Methods in Physics are given remotely through zoom. Exercises are given on campus. The course is examined through written home assignments as well as a written exam on campus.
This is an advanced course given during the daytime.
The course consists of both lectures and problem sessions.
The course is examined through written examination and voluntary oral examination.
Phone: +468-553 786 25
ScheduleThe 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 literatureNote 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
Här ligger ett skript.
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.
Course coordinator and teacher:
Svante Jonsell, phone: +468-553 786 25, e-mail: email@example.com
Anthony Bonfils , tel: , e-mail: firstname.lastname@example.org
Vipin Agrawal , tel: , e-mail: email@example.com
Academic advisor at the Department of Physics: firstname.lastname@example.org
Student office: email@example.com