MU11165 Mathematical Economy I

Mathematical Institute in Opava
Winter 2023
Extent and Intensity
2/1/0. 3 credit(s). Type of Completion: z (credit).
Teacher(s)
Ing. Mgr. Barbora Volná, Ph.D. (lecturer)
Ing. Mgr. Barbora Volná, Ph.D. (seminar tutor)
Guaranteed by
Ing. Mgr. Barbora Volná, Ph.D.
Mathematical Institute in Opava
Timetable
Tue 9:45–11:20 LVT2
  • Timetable of Seminar Groups:
MU11165/01: Tue 11:25–12:10 LVT2, B. Volná
Prerequisites
TYP_STUDIA(B)
Assumptions of a basic knowledge of mathematics and economics at tertiary level
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Foundations of the mathematical modelling in economy, optimization and economic equilibria, understanding how to use mathematics in economics.
Syllabus
  • - approach to the mathematical modelling in economy, its content and methods
    - economic function and slope of this function, average and marginal slope
    - total, average, and marginal quantities
    - elasticity of the function
    - discrete dynamical models noncontinuous quantity changes, spider's web model of supply - demand model
    - price equilibrium as a result of the equality between supply and demand
    - supply - demand continuous model
    - utility function, its mathematical expression and graphic representation
    - utility maximization, substitutive and income effects
    - cost function, progressive and degressive costs
    - productivity and profit functions
    - production function, Cobb-Douglas production function
    - consumption and saving functions
    - investment function and capital accumulation
Literature
    required literature
  • G. Gandolfo. Economic Dynamics. Berlin-Heidelberg: Springer-Verlag, 1997. info
  • D. Bauerová, L. Hrbáč. Matematická ekonomie I. VŠB Ostrava, 1996. ISBN 80-7078-293-5. info
    recommended literature
  • K. Zimmermann. Úvod do matematické ekonomie. Karolinum Praha, 2002. ISBN 80-246-0464-7. info
  • R. G. D. Allen. Matematická ekonomie. Academia Praha, 1971. info
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
The credit can be obtained after processing semester task.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2022, Winter 2024.
  • Enrolment Statistics (Winter 2023, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2023/MU11165