| Course title | Applications of Mathematics in Economics |
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| Course code | KMA/AME-E |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Winter and summer |
| Number of ECTS credits | 5 |
| Language of instruction | Czech |
| Status of course | Optional |
| Form of instruction | Face-to-face |
| Work placements | Course does not contain work placement |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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1. Basic mathematical resources. Basic mathematical resources. Economic functions, total, marginal, and average quantities, elasticity functions. Derivatives, integrals, functions of several variables, differential equations. 2. Mathematics in microeconomics. Microeconomic functions and their basic role the utility function and utility maximization, cost function and minimize average costs, and maximizing revenue function of total revenue, profit function and maximizing total profit, production function and optimum cost. 3. Some applications of the integral calculus. Total and marginal values. Investment and capital formation. Continuous interest. Excess consumer surplus producer. 4. Some applications of the differential calculus of functions of several variables. Optimization of economic relations leading to the local, constrained and global extremes. 5. Some applications of differential equations. Models of population growth Malthusian model, logistic curve. 6. Time series. Economic applications. 7. Apllications of linear algebra. Block matrices . Transportation problem, solving practical example.
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| Learning activities and teaching methods |
| Monological explanation (lecture, presentation,briefing) |
| Learning outcomes |
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The main goal of this subject is to recapitulate and extend the most important parts of mathematics leading to economical applications. Moreover, to practice and elaborate the knowledge about it in economical applications.
Using mathematics in practical economical examples. |
| Prerequisites |
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Basic knowledge of the differential and integral calculus.
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| Assessment methods and criteria |
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Combined examination
Credit: Participation on seminars. Working out seminar work. |
| 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, Humanities and Education | Study plan (Version): Education in Leisure Time (20) | Category: Pedagogy, teacher training and social care | - | Recommended year of study:-, Recommended semester: - |
| Faculty: Faculty of Science, Humanities and Education | Study plan (Version): Professional studies for lower-secondary school teachers. (18) | Category: Pedagogy, teacher training and social care | - | Recommended year of study:-, Recommended semester: - |
| Faculty: Faculty of Science, Humanities and Education | Study plan (Version): Education in Leisure Time (20) | Category: Pedagogy, teacher training and social care | - | Recommended year of study:-, Recommended semester: - |
| Faculty: Faculty of Science, Humanities and Education | Study plan (Version): Applied Geography (19) | Category: Geography courses | - | Recommended year of study:-, Recommended semester: - |
| Faculty: Faculty of Science, Humanities and Education | Study plan (Version): Professional studies for lower-secondary school teachers. (15) | Category: Pedagogy, teacher training and social care | - | Recommended year of study:-, Recommended semester: - |