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.