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Lecturer(s)
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Ježek Vladimír, doc. Ing. Ph.D.
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Course content
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Introduction to mathematical modelling in economy, finance and management. Problems described by linear difference and differential equations with constraints. Introduction to linear differential equations with delays and their applications. Discrete-time stochastic finance models. Applications to financial modeling and risk analysis, model building and analysis, production processes description, logistics and supply chain management, decision making tools.
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Learning activities and teaching methods
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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
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| prerequisite |
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| Knowledge |
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| Students should have basic knowledge of ordinary differential equations (KMA/ODR) and of fundamentals of random processes (KMA/ZNP). |
| learning outcomes |
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| Students taking this course will be able to grasp the basic problems of management mathematics and namely - recognize which mathematical models are appropriate for solving given research problems - apply these tools to practical management problems - solve linear problems via abstract methods - apply correctly formal and rigorous competency in mathematical presentation, both in written and verbal form. |
| teaching methods |
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| Lecture supplemented with a discussion |
| Interactive lecture |
| assessment methods |
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| Oral exam |
| Written exam |
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Recommended literature
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Klamka, Jerzy. Controlability of Dynamical Systems. Kluwer Academic Publishers, 1991. ISBN 0792308220.
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Sethi P. Suresh, Thompson Gerald L. Optimal control theory: applications to management science and economics. Springer, 2005.
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Shreve, Steven E. Stochastic calculus for finance. I, The binomial asset pricing model. New York : Springer, 2004. ISBN 0-387-40100-8.
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