Mathematics for economists
| Type of study | Bachelor |
|---|---|
| Language of instruction | Czech |
| Code | 151-0004/01 |
| 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. Linear algebra - basic matrix operations, second- and third-order determinants.
2. Matrix invesrsion, specific matrix equations.
3. Systems of linear equations, Gaussian elimination.
4. Function of a single real variable - domain, elementary functions.
5. Graph of a function, inverse functions.
6. Limits of functions.
7. Derivative of a function, geometrical meaning.
8. Higher order derivatives, monotonoic functions, local and global extremes of a function.
9. Convex and concave functions, points of inflection.
10. Function of two real variables - domain, graph, level curves, homogenous functions.
11. Partial derivatives, tangent plane, local extremes, constrained extremes (substitution technique).
12. Integral calculus - basic rules and formulas for indefinite integrals, method of substitution.
13. Areas of regions bounded by continuous curves.
2. Matrix invesrsion, specific matrix equations.
3. Systems of linear equations, Gaussian elimination.
4. Function of a single real variable - domain, elementary functions.
5. Graph of a function, inverse functions.
6. Limits of functions.
7. Derivative of a function, geometrical meaning.
8. Higher order derivatives, monotonoic functions, local and global extremes of a function.
9. Convex and concave functions, points of inflection.
10. Function of two real variables - domain, graph, level curves, homogenous functions.
11. Partial derivatives, tangent plane, local extremes, constrained extremes (substitution technique).
12. Integral calculus - basic rules and formulas for indefinite integrals, method of substitution.
13. Areas of regions bounded by continuous curves.
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 .