Terminated in academic year 2021/2022

Selected Parts of Mathematical Analysis

Type of study	Follow-up Master
Language of instruction	Czech
Code	470-4116/03
Abbreviation	VPzMA
Course title	Selected Parts of Mathematical Analysis
Credits	4
Coordinating department	Department of Applied Mathematics
Course coordinator	doc. Mgr. Petr Vodstrčil, Ph.D.

Subject syllabus

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.

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.

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