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Applied Mathematics for Economists

Type of study Bachelor
Language of instruction Czech
Code 151-0006/01
Abbreviation AME
Course title Applied Mathematics for Economists
Credits 5
Coordinating department Department of Mathematical Methods in Economics
Course coordinator doc. Mgr. Marian Genčev, Ph.D.

Osnova předmětu

- Basic rules and formulas for the indefinite integral, substitution method. Applications in economics.
- Integration by parts, integration of selected rational functions. Applications in economics.
- The definite integral, area of plane figures bounded by curves. Applications in economics.
- Definite integrals of discontinuous functions, improper integrals. Applications in economics.
- Real functions of several real variables. Graph, domain, level curves, homogeneous functions. Applications in economics.
- Partial derivative and total differential. The tangent plane. Applications in economics.
- Local extremes of functions of two variables unconstrained/constrained (substitution, Lagrange multiplier). Applications in economics.
- First-order ordinary differential equations - separable, separable, linear. Applications in economics.
- Second-order ordinary differential equations - linear. Applications in economics.
- Difference calculus - first- and second-order difference equations, monotonicity of sequences and their dynamics. Applications in economics.
- First- and second-order difference equations - linear. Applications in economics.

E-learning

https://lms.vsb.cz/

Povinná literatura

STEWART, James Michael. Multivariable calculus, International Metric Edition. Cengage Learning, 2019. ISBN 978-0-357-11350-9 .
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 .

Doporučená literatura

KLŮFA, Jindřich and Nikola KASPŘÍKOVÁ. Mathematics for economic universities. Praha: Ekopress, 2013. ISBN 978-80-87865-01-9 .
BARNET, Raymond et al. College Mathematics for Business, Economics, Life Sciences, and Social Sciences. 14 th ed. London: Pearson, 2019. ISBN 978-1292270494 .
BERGIN, James. Mathematics for Economists with Applications. 1st ed. London: Routledge, 2015. ISBN 978-13-15819-53-2 .


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