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Terminated in academic year 2009/2010

Selected Parts of Mathematical Analysis

Type of study Master
Language of instruction Czech
Code 457-0318/01
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.

Subject syllabus

Methods of integration (per-partes, substitution, partial fractions decomposition).
Integration of special functions.
Calculation of Riemann integral. Applications.
Infinite integral.
More-variable real functions. Partial and directional derivatives, differential and gradient.
Taylor's theorem.
Extremes of more-variable real functions.
Linear differential equations and their systems.
Number series.

Literature

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

Advised literature

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