| Course title | Mathematical Economics |
|---|---|
| Course code | KMA/MEK |
| Organizational form of instruction | Lecture + Exercise |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Winter |
| Number of ECTS credits | 5 |
| 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. Mathematical Economics - definition of the term, mathematics in economics, development of mathematical models in economics 2. Functions in economics, aggregate, average, and marginal economic variables, elasticity of a function Mathematical models in microeconomics: 3. Mathematical modeling of dynamic market equilibrium, spider web models 4. Utility function and utility maximization 5. Cost, revenue, and profit functions and their optimization 6. Production functions, isoquant analysis, Cobb-Douglas production function 7. Activity analysis (an alternative view of production). Welfare economics (an alternative view of consumption) Mathematical models in macroeconomics: 8. Determining equilibrium output using the AS-AD model - Macroeconomic functions - consumption and savings functions, investment functions, and capital accumulation Expenditure multiplier and income analysis - two-, three-, and four-sector models, dynamic multiplier
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| Learning activities and teaching methods |
| Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Projection (static, dynamic) |
| Learning outcomes |
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The objective of the course is to develop students' ability to mathematically formalize, analyze, and solve fundamental microeconomic and macroeconomic problems. The course systematically integrates economic theory with quantitative tools, with a particular focus on optimization problems (utility, cost, and production analysis) and the modeling of both market and aggregate equilibrium over time.
Understanding Understand the mathematical backgrounds of economics, overview of the basic approaches to mathematical modeling in economics. |
| Prerequisites |
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Basic courses of mathematics and economy.
KMA/MA1 and MRS/EKN ----- or ----- MRS/EKON |
| Assessment methods and criteria |
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Mark, Oral exam, Written exam
Credit: Active participation. Written test. Exam: Oral. |
| 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 (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Mathematics for Sustainable Innovation (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Winter |