Mathematics for economists
| Type of study | Bachelor |
|---|---|
| Language of instruction | Czech |
| Code | 151-0004/03 |
| Abbreviation | MPE |
| Course title | Mathematics for economists |
| Credits | 6 |
| Coordinating department | Department of Mathematical Methods in Economics |
| Course coordinator | doc. Mgr. Marian Genčev, Ph.D. |
Osnova předmětu
1. Matrices and operations with them. Applications in economics.
2. Determinants, inverse matrices, matrix equations. Applications in economics.
3. Systems of linear equations. Applications in economics.
4. Sequences of real numbers, monotonicity, boundedness. Applications in economics.
5. Limits of real sequences, infinite geometric series. Applications in economics.
6. Real functions of one variable, graph transformations. Applications in economics.
7. Monotonicity, domain, range, one-to-one and inverse functions. Applications in economics.
8. Continuity and limit of a function. Applications in economics.
9. Derivative of a function, geometric interpretation of the derivative. Applications in economics.
10. Local extrema of a function, convexity and concavity, inflection points. Applications in economics.
2. Determinants, inverse matrices, matrix equations. Applications in economics.
3. Systems of linear equations. Applications in economics.
4. Sequences of real numbers, monotonicity, boundedness. Applications in economics.
5. Limits of real sequences, infinite geometric series. Applications in economics.
6. Real functions of one variable, graph transformations. Applications in economics.
7. Monotonicity, domain, range, one-to-one and inverse functions. Applications in economics.
8. Continuity and limit of a function. Applications in economics.
9. Derivative of a function, geometric interpretation of the derivative. Applications in economics.
10. Local extrema of a function, convexity and concavity, inflection points. Applications in economics.
E-learning
Povinná literatura
BERGIN, James. Mathematics for Economists with Applications. 1st ed. London: Routledge, 2015. ISBN 978-13-15819-53-2 .
HOY, Michael; LIVERNOIS, John Richard; MCKENNA, C. J.; REES, Ray a STENGOS, Thanasis. Mathematics for economics. Fourth edition. Cambridge, Massachusetts: The MIT Press, 2022. ISBN 978-0-262-04662-6 .
KLŮFA, Jindřich and Nikola KASPŘÍKOVÁ. Mathematics for economic universities. Praha: Ekopress, 2013. ISBN 978-80-87865-01-9 .
HOY, Michael; LIVERNOIS, John Richard; MCKENNA, C. J.; REES, Ray a STENGOS, Thanasis. Mathematics for economics. Fourth edition. Cambridge, Massachusetts: The MIT Press, 2022. ISBN 978-0-262-04662-6 .
KLŮFA, Jindřich and Nikola KASPŘÍKOVÁ. Mathematics for economic universities. Praha: Ekopress, 2013. ISBN 978-80-87865-01-9 .
Doporučená literatura
BARNET, Raymond et al. College Mathematics for Business, Economics, Life Sciences, and Social Sciences. 14 th ed. London: Pearson, 2019. ISBN 978-1292270494 .
PEMBERTON, Malcolm and Nicholas RAU. Mathematics for economists. 5th ed. Manchester: Manchester University Press, 2023. ISBN 978-15-26173-53-9 .
ROSSER, Mike and Piotr LIS. Basic Mathematics for Economists. 3rd ed. London: Routledge, 2016. ISBN 978-04-15485-91-3 .
PEMBERTON, Malcolm and Nicholas RAU. Mathematics for economists. 5th ed. Manchester: Manchester University Press, 2023. ISBN 978-15-26173-53-9 .
ROSSER, Mike and Piotr LIS. Basic Mathematics for Economists. 3rd ed. London: Routledge, 2016. ISBN 978-04-15485-91-3 .