TFYA18 Mathematical Methods of Physics 2007

Study Guide@lith

Valid for year : 2007

TFYA18	Mathematical Methods of Physics, 6 ECTS credits. /Fysikens matematiska metoder/ For: COM MFYS Y
	Prel. scheduled hours: 48 Rec. self-study hours: 112
	Area of Education: Science Subject area: Physics
	Advancement level (G1, G2, A): A
	Aim: The course is aimed at making the students familiar with the basic equations of the mathematical physics and the methods of their solutions. The emphasis will be on the most frequently used partial differential equations and the special functions involved in the solution of these equations. To achieve this goal students have to classify the different kind of partial differential equations (PDEs) in physics with boundary and initial conditions: wave and heat transfer equations, Poisson and Laplace equations, Schrödinger equation apply the methods of separation of variables and orthogonal set expansions for the solutions of these PDFs know the properties and how to use the Bessel functions, Legendre polynomials, associative Legendre polymomials, Lagerre and Hermitian polynomials.
	Prerequisites: (valid for students admitted to programmes within which the course is offered) Analysis, Linear algebra, Vector analysis, Complex analysis, Fourier analysis. Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
	Supplementary courses: Classical Electrodynamics
	Organisation: Seminars (48h) including theory and problem solving following a special plan presented at the beginning of the course.
	Course contents: Classification of partial differential equations of mathematical physics. Laplace's-, Poisson's-, wave-, heat transfer- and, Schrödinger- equations. Methods of solution: separation of variables, orthogonal set expansion, Fourier- and Laplace transforms, Green's functions. Boundary value problems. Sturm-Liouville problem. Fourier series and integrals. Cylindrical and spherical functions. Orthogonal polynomials.
	Course literature: Mary L. Boas: Mathematical methods in the physical sciences. 3d ed., John Wiley & Sons, 2005.
	Examination:
	A written examination containing theory problems and practical soulution of problems (U,3,4,5)	4 p	/	6 ECTS


Course language is English. Department offering the course: IFM. Director of Studies: Leif Johansson Examiner: Irina Yakymenko Link to the course homepage at the department Course Syllabus in Swedish

Linköping Institute of Technology
Contact: TFK , val@tfk.liu.se Last updated: 09/19/2007