| Course title | Business Mathematics |
|---|---|
| Course code | KMA/SZZME |
| Organizational form of instruction | no contact |
| Level of course | Bachelor |
| Year of study | 3 |
| Semester | Winter and summer |
| Number of ECTS credits | 0 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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1. Mathematics in macroeconomics, consumption, savings and investments, accumulation of capital, multiplier effect and income determination. 2. Point estimation, interval estimation, hypothesis testing. 3. Basic methods for evaluating the relationship between quantitative and categorical variable. 4. Modeling of time series, trends and seasonal component, random component analysis, Box-Jenkins methodology. 5. Combinatorial optimization methods, exact methods (pros and cons), heuristics in combinatorial optimization (deterministic and stochastic approach, basic algorithms), examples. 6. Introduction to portfolio theory: Markowitz model, Sharpe model, CAPM. 7. Queueing theory models: descriptive models with single-server case with limited and unlimited queue, models of multiple-server case, optimization models. 8. Deterministic and stochastic inventory models (model with no setup cost, basic strategies of multi-period models).
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| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
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Realize contexture of basic conceptions and statements concerning statistics, mathematical economics, time series, financial mathematics, mathematical models in economy and combinatorial optimization.
Synthesis Realize contexture of basic conceptions and statements concerning contents of this subject. |
| Prerequisites |
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The student has to meet all prerequisites given for the bachalor tudy course Applied Mathematics and all the conditions of Study and Examination Regulations of the Palacký University in Olomouc.
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| Assessment methods and criteria |
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unspecified
the student has to understand the subject |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Business Mathematics (2021) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Summer |