Terminated in academic year 2023/2024

Mathematical Analysis 2

Type of study	Bachelor
Language of instruction	Czech
Code	470-2111/09
Abbreviation	MA2
Course title	Mathematical Analysis 2
Credits	6
Coordinating department	Department of Applied Mathematics
Course coordinator	Mgr. Bohumil Krajc, 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 double integral, basic properties. Fubini theorems for
double integral.
- Transformation of double integral, aplications of double integral.
- Definition of triple integral, basic properties. Fubini theorems for triple
integral.
- Transformation of triple integral, aplications of triple integral.
- 1st order differential equations.

Literature

BOUCHALA, Jiří; KRAJC, Bohumil. Introduction to Differential Calculus of Several Variables, 2022
http://am.vsb.cz/bouchala

BOUCHALA, Jiří; VODSTRČIL, Petr; ULČÁK, David. Integral Calculus of Multivariate
Functions, 2022
http://am.vsb.cz/bouchala

Advised literature

ANTON, Howard; BIVENS, Irl a DAVIS, Stephen. Calculus. 8th ed. Hoboken: Wiley, c2005. ISBN 0-471-48273-0.

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