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Mathematics for Physicists I - NMAF003

Title:	Matematika pro fyziky I
Guaranteed by:	Laboratory of General Physics Education (32-KVOF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2008
Semester:	winter
E-Credits:	10
Hours per week, examination:	winter s.:4/3, 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
Incompatibility :	NMAA003, NMAA004, NMAI049, NMAI050, NUMP005, NUMP006
Pre-requisite :	NMAF033, NMAF034
Is co-requisite for:	NMAF004

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Annotation -

Last update: T_KMA (13.05.2003)

Basic mathematics course for 2nd year students of physics. Prerequisities: Mathematical analysis I+II and Linear algebra I+II.

Literature - Czech

Last update: RNDr. Pavel Zakouřil, Ph.D. (05.08.2002)

Kopáček, J. a kol.: Matematika pro fyziky, díly III-V, skriptum MFF UK

Syllabus -

Last update: T_KMA (13.05.2003)

Function series and sequences - pointwise and uniform convergence. Power series.

Lebesgue measure and integral in R^n - systems of sets, measure, measurable sets, measurable functions. Lebesgue integral - Fatou lemma, Levi and Lebesgue theorem, Fubini theorem. Integrals depending on the parameter.

Surface and line integral - curve, line integrals of 1st and 2nd kind. Surface integral. Gauss-Green and Stokes theorem.