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Mathematical analysis III

Type of study Bachelor
Language of instruction English
Code 310-2422/02
Abbreviation MA III
Course title Mathematical analysis III
Credits 4
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator RNDr. Martin Swaczyna, Ph.D.

Osnova předmětu

1. Scalar and vector fields.
2. Differential operators.
3. Local characteristics of vector fields.
4. Curvilinear integrals.
5. Surface integrals.
6. Global characteristics of vector fields.
7. Introduction to the potential theory.
8. Integral representation of solution of several second-order PDE.

Povinná literatura

MEJLBRO, L. Calculus 2b – Real Functions in Several Variables. http://bookboon.com/cs/calculus-2b-3-ebook. ISBN 87-7681-206-5 .

Doporučená literatura

SPIEGEL, R. M., LIPSCHUTZ, S., SPELLMAN, D. Vector Analysis, 2nd edition, McGraw-Hill, 2009, ISBN 978-7161-545-7