CS

PřF:M4010 Equations of math. physics - Course Information

M4010 Equations of mathematical physics

Faculty of Science
Spring 2003
Extent and Intensity
3/2/0. 5 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Zdeněk Pospíšil, Dr. (lecturer)
Supervisor
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics - Departments - Faculty of Science
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Prerequisites
Single- and multivariable differential and integral calculus, curve and surface integral, ordinary differential equations.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
Fields of study the course is directly associated with
Course objectives
The discipline is a part of the fundamental course of mathematical analysis for students of physics. It contains a sample of classical methods of solutions of partial differential equations.
Syllabus
  • Boundary value problems for ordinary differential equations.
  • Special functions: Gamma function, Bessel functions, Legendre, Laguerre a Hermite polynomials.
  • Distributions.
  • Methods of characteristics: quasilinear 1st order equation, canonical form of 2nd order equations, initial value problem for wawe equations.
  • Methods of integral transforms: Fourier, Laplace transforms.
  • Methods of separation of variables: wawe equation, heat equation, eliptic equation, Schroedinger equation.
  • Eliptic equations: harmonic functions, potentials, Green function.
Literature
  • Franců Jan. Parciální diferenciální rovnice. VUT Brno, 2000
Assessment methods (in Czech)
Písemná a navazující ústní část
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019.
  • Enrolment Statistics (Spring 2003, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2003/M4010