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Mathematics B

Type of study Bachelor
Language of instruction English
Code 151-0502/02
Abbreviation MathB
Course title Mathematics B
Credits 5
Coordinating department Department of Mathematical Methods in Economics
Course coordinator doc. Mgr. Marian Genčev, Ph.D.

Osnova předmětu

1. Basic operations with matrices, calculation of 2nd- and 3rd order determinants.
2. Matrix invesrsion, specific matrix equations. Applications in economics.
3. Systems of linear equations. Gaussian elimination, Cramer's rule,network analysis and further applications.
4. Basic rules and formulas for indefinite integrals, method of substitution. Applications in economics.
5. Integration by parts, integration of selected rational functions. Applications in economics.
6. Definite integral. Areas of regions bounded by continuous curves. Applications in economics.
7. Definite integrals of discontinuous functions, improper integrals. Applications in economics.
8. Real functions of more real variables. Graph, domain, level curves, homgeneous functions. Applications in economics.
9. Partial derivatives, total differential. Tangent plane. Applications in economics.
10. Local extrema of functions of two variables. Constrained extrema (substitution, Lagrange's multiplier). Applications in economics.

Povinná literatura

GENČEV, Marian a Pavel RUCKI. Cvičebnice z matematiky nejen pro ekonomy I. Ostrava: Facuty of Economics, VŠB-TU Ostrava, 2017. Series of textbooks, Faculty of Economics, VŠB-TU Ostrava, 2017, vol. 32. ISBN 978-80-248-4100-7.
STEWART, James Michael. Multivariable calculus, International Metric Edition. Cengage Learning, 2019. ISBN 978-0-357-11350-9 .

Doporučená literatura

LAY, David C., LAY, Steven R. and MCDONALD, Judith. Linear algebra and its applications. Harlow, Essex: Pearson Education Limited, 2022. ISBN 978-0-135-88280-1 .
HOY, Michael, LIVERNOIS, John Richard and MCKENNA, C. J. Mathematics for economics. Cambridge: The MIT Press, 2022. ISBN 9780262046626 .