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Bachelor of Mathematics

Type of study Bachelor
Language of instruction Czech
Code 230-0309/01
Abbreviation BMa
Course title Bachelor of Mathematics
Credits 6
Coordinating department Department of Mathematics
Course coordinator Mgr. Aleš Vítek, Ph.D.

Osnova předmětu

1. Functions of one variable, properties.
2. Limit of functions, derivatives of functions, properties.
3. L´Hospital rule.
4. Differential of a function, Taylor polynomial.
5. Course of functions.
6. Functions of two variables, properties.
7. Partial derivatives.
8. Differential of functions of two variables, Taylor polynomial of functions of two variables, local extreme points.
9. Indefinite integral, properties, elementary methods of integration.
10. Definite integral, properties, geometric application.
11. Matrices, rank, determinant, inverse matrices.
12. Systems of linear equations.
13. Reserve.

Povinná literatura

[1] Doležalová, J.: Mathematics I, VŠB-TUO, 2005, ISBN 80-248-0796-3.
[2] Kreml, P.: Mathematics II, VŠB-TUO, 2005, ISBN 80-248-0798-X.
[3] Volná, J., Volný, P.: Worksheets for Mathematics II, VŠB-TUO, 2021, ISBN 978-80-248-4511-1 , DOI 10.31490/9788024845111.

Doporučená literatura

[1] http://mdg.vsb.cz/portal/en/
[2] Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1 .
[3] James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992, ISBN 0-201-1805456.
[4] James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6.