|Course title||Mathematical Models in Economy|
|Organizational form of instruction||Lecture + Exercise|
|Level of course||Bachelor|
|Year of study||not specified|
|Number of ECTS credits||4|
|Language of instruction||Czech|
|Status of course||Compulsory-optional|
|Form of instruction||Face-to-face|
|Work placements||This is not an internship|
|Recommended optional programme components||None|
1. Historical development of mathematical modeling in Economics; classification of mathematical modelling tools in Economics. 2. Network analysis models - basics to graph theory, CPM. 3. Network analysis models - PERT; time-cost analysis. 4. Queueing theory models - birth-and-death process for the single-server case. 5. Queueing theory models - birth-and-death process for the multiple-server case. Optimization models. 6. Renewal of ageing equipment models. Renewal of failing element models. 7. Deterministic inventory models - periodic review: uniform demand (shortages not permitted, sgortagges permitted). 8. Deterministic inventory models - discountinuous demand, quantity discounts (shortages not permitted). 9. Deterministic inventory multiproduct - inventory strategies, inventory control under the constraints. 10. Stochastic inventory models - a single period model with no setup cost. 11. Input-output analysis - the open Leontief´s model, distribution equation system. 12. Input-output analysis - relation between the price of the total production and value addend by working; dynamization of an input-output model.
|Learning activities and teaching methods|
Lecture, Projection (static, dynamic)
To know and to comprehend selected models in economics.
Application be able to apply knowledge gained in the subjects of Mathematics 1,2, Economics 1,2, event. Business Economics and Management 1,2 to solving selected problems of economy, event. economics
Basic courses of mathematics, statistics and economy.
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|Assessment methods and criteria|
Oral exam, Student performance, Seminar Work
Credit: the student has to solve a problem of network analysis - to find a critical path in a network graph describing an activity being chosen by him/her using the CPM method. The student has to pass a test (at least 50%). Exam: the student has to be able to describe particular models and to solve basic problems with these models.
|Study plans that include the course|
|Faculty||Study plan (Version)||Branch of study Category||Recommended year of study||Recommended semester|