Applied Mathematics for Economists
| Type of study | Bachelor |
|---|---|
| Language of instruction | Czech |
| Code | 151-0006/02 |
| 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. |
Subject syllabus
- 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.
- 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
Literature
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 .
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 .
Advised literature
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 .
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 .