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Mathematics for Physicists III - NMAF043

Title:	Matematika pro fyziky III
Guaranteed by:	Laboratory of General Physics Education (32-KVOF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	summer
E-Credits:	6
Hours per week, examination:	summer s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Class:	Fyzika
Classification:	Physics > Mathematics for Physicists
Interchangeability :	NMAF062

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Annotation -

Last update: G_M (03.06.2004)

Basic mathematics course for 2nd year students of physics. Prerequisities: Mathematics for physicists II.

Aim of the course -

Last update: T_KVOF (28.03.2008)

Basic mathematics course for 2nd year students of physics. Prerequisities: Mathematics for physicists II.

Literature - Czech

Last update: prof. MUDr. Richard Rokyta, DrSc. (09.02.2006)

Kopáček, J.: Matematická analýza pro fyziky IV. (skripta)

Kopáček J.: Příklady z matematiky pro fyziky IV. (skripta)

Teaching methods - Czech

Last update: T_KVOF (28.03.2008)

přednáška + cvičení

Syllabus -

Last update: T_KMA (13.05.2008)

1. Fouries series II:

Fourier series in Hilbert spaces, orthogonal systems of polynomials (Legendre, Hermite, Chebyshev), eigenfunctions of differential operators.

2. Introduction to the complex analysis:

Holomorfic function, Cauchy-Riemann equations, line integral in the complex domain, primitive function. Cauchy theorem, Cauchy formula, Liouville theorem. Taylor series, function holomorfic between circular contours, isolated singularities, Laurent series. Residue and Residue theorem. Conformal mapping.

3. Fourier transform of functions.