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Ukončeno v akademickém roce 2020/2021

Selected Parts of Mathematical Analysis

Type of study Follow-up Master
Language of instruction English
Code 470-4116/06
Abbreviation VPzMA
Course title Selected Parts of Mathematical Analysis
Credits 6
Coordinating department Department of Applied Mathematics
Course coordinator doc. Mgr. Petr Vodstrčil, Ph.D.

Osnova předmětu

More-variable real functions. Partial and directional derivatives, differential and gradient.
Taylor's theorem.
Extremes of more-variable real functions.
Definition of Riemann double integral, basic properties. Fubini theorems for double integral.
Transformation of double integral, aplications of double integral.
Definition of Riemann triple integral, basic properties. Fubini theorems for triple integral.
Transformation of triple integral, aplications of triple integral.
Linear differential equations and their systems.
Number series.

Povinná literatura

J. Bouchala, M. Sadowská: Mathematical Analysis I, VŠB-TUO.

Doporučená literatura

L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973.