|
Lecturer(s)
|
-
Ježek Vladimír, doc. Ing. Ph.D.
|
|
Course content
|
Mathematical modelling in economy, finance and management. Advanced problems described by non-linear difference and differential equations with constraints. Emphasis on optimal solution. Non-linear differential equations with delays and their applications. Continuous-time stochastic finance models. Advanced applications to financial modelling and risk analysis, building of real application models and their analysis, production processes description, logistics and supply chain management, decision making tools.
|
|
Learning activities and teaching methods
|
Interactive lecture, Lecture supplemented with a discussion, Lecture with practical applications
- Contact hours
- 39 hours per semester
- Individual project (40)
- 50 hours per semester
- Preparation for an examination (30-60)
- 50 hours per semester
|
| prerequisite |
|---|
| Knowledge |
|---|
| Units which must be passed before this unit may be attempted: KMA/MAM1 or KMA/MAM1A. |
| learning outcomes |
|---|
| Students taking this course will be able to grasp the problems of management mathematics and namely - recognize which mathematical optimization tools are appropriate and suitable for modelling given research problem - apply these tools to practical management problems - solve non-linear problems via abstract methods - apply correctly formal and rigorous competency in mathematical presentation, both in written and verbal form. |
| teaching methods |
|---|
| Lecture supplemented with a discussion |
| Interactive lecture |
| assessment methods |
|---|
| Oral exam |
| Written exam |
|
Recommended literature
|
-
Klamka, Jerzy. Controlability of Dynamical Systems. Kluwer Academic Publishers, 1991. ISBN 0792308220.
-
Sethi P. Suresh, Thompson Gerald L. Optimal control theory: applications to management science and economics. Springer, 2005.
-
Shreve, Steven E. Stochastic calculus for finance. II, Continuous-time models. New York : Springer, 2004. ISBN 0-387-40101-6.
|