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Lecturer(s)
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Čapek Jan, prof. Ing. CSc.
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Ibl Martin, Ing. Ph.D.
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Course content
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Leontieff input/output methods. Black box methods, Methods of piecemeal derivation and integration. Methods of weighting function, AR, MA, ARMA, ARIMA, models. Evolution models. Predator-prey model. Chaotic models, (Elliot waves).
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Learning activities and teaching methods
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Dialogic (discussion, interview, brainstorming)
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Learning outcomes
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The aim of the course is to acquire theoretical knowledge in the area of the modelling of regional processes using a wide range of computational methods. By the end of the course students will be able to apply the methods within the design of synthetic mathematical models mimicking regional systems. From the system point of view, the regional systems represent complex non-linear dynamic systems of spatially embedded actors interacting with other actors placed both inside and outside of the region. To address these issues, students will be able to: (1) define and model the input and output quantities of regional processes; (2) apply both linear and non-linear computational methods on the quantities; (3) apply Box-Jenkins methodology in cases where the input and/or output quantities are not available; (4) design evolutionary and agentbased models to simulate dynamic regional relationships; (5) examine spatial characteristics of regions and impact of regional policies.
The student will be able to apply the synthesis methods of mathematical models of the economics process. This process form the system point of view expressed complicated non-linear dynamics system, so it will be used mainly input/output methods.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral examination
The student is lead to self-reliant work, when knowledge obtaining by his/her study is able to implant into his/her thesis. The problems solving by methods included within this subject are presented by student's self-reliant work. The student is able to defend his/her conclusions in the scientific discussion and implement it into his/her thesis. The subject will be concluded with written and oral exam.
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Recommended literature
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Cipra,T. Analýza časových řad s aplikacemi v ekonomii.. SNTL/ALFA, 1986.
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Čapek,J. Modelování ekonomických a sociálních procesů.. Univerzita Pardubice, 2006.
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Hušek,R. Základy ekonometrické analýzy I. Modely a metody.. skripta VŠE, 1995.
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Mandl. P. Pravděpodobnostní dynamické modely.. Academia, 1985.
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Medio, Alfredo. Nonlinear dynamics : a primer. Cambridge: Cambridge University Press, 2001. ISBN 0-521-55874-3.
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Pazourek.J. Simulace biologických systémů.. Grada, 1992.
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Shone R. An Introduction to Economic Dynamics.. Cambridge University Press, 2001.
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Shone, Ronald. Economic dynamics : phase diagrams and their economic application. Cambridge: Cambridge University Press, 2002. ISBN 0-521-01703-3.
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Takayama A. Mathematical economics.. Cambridge University Press, 1997.
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