Course: Mathematical Economics

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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)
  • Pavlačka Ondřej, RNDr. Ph.D.
Course content
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

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
Learning outcomes
Gain basic knowledge and practical skills concerning the use of mathematical tools in economics; understand the philosophy of basic economical models and the use of mathematics in economics.
Understanding Understand the mathematical backgrounds of economics, overview of the basic approaches to modeling in economics.
Prerequisites
Basic courses of mathematics and economy.
KMA/MA1 and MRS/EKN
----- or -----
MRS/EKON

Assessment methods and criteria
Mark, Oral exam, Written exam

Credit: Active participation. Written test. Exam: Oral.
Recommended literature
  • Bauerová, D., Hrbáč, L. a kol. (1995). Matematická ekonomie II.. Ostrava.
  • Bauerová, D., Hrbáč, L. a kol. (1995). Matematická ekonomie I.. Ostrava.
  • Guirguis, M. (2018). Introduction to Mathematical Economics: A Practical Guide for Second and Third Year. SSRN.
  • Hands, D. W. (2004). Introductory mathematical economics. Oxford University Press.
  • Hoy, M. a kol. (2022). Mathematics for Economics (4th Ed.).
  • Takayama, A. (1984). Mathematical Economics (2nd Ed.).
  • Volná, B., Smítalová, K. (2013). Matematika v ekonomii. Opava.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study 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