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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

- Franců Jan.
**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.

- Enrolment Statistics (Spring 2003, recent)
- Permalink: https://is.muni.cz/course/sci/spring2003/M4010