INMNPMAT Mathematics in Economics

School of Business Administration in Karvina
Winter 2015
Extent and Intensity
2/1/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. Mgr. Jiří Mazurek, Ph.D. (lecturer)
prof. RNDr. Jaroslav Ramík, CSc. (lecturer)
Mgr. Radmila Krkošková, Ph.D. (seminar tutor)
doc. Mgr. Jiří Mazurek, Ph.D. (seminar tutor)
Ing. Elena Mielcová, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jaroslav Ramík, CSc.
Department of Informatics and Mathematics – School of Business Administration in Karvina
Contact Person: Mgr. Radmila Krkošková, Ph.D.
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
The course Mathematics in economics in master's study programme follows the course Quantitative methods in bachelor's study programme. It makes the participants acquainted with further knowledge and methods of differential and integral calculus, and the introduction to differential equations including their application in economics. The aim of the course is to cultivate approach to problem solution particularly in a variety of economic branches and to enable insight into their essence.
Syllabus
  • 1. Function of one variable
    2. Introduction to differential calculus of one real variable
    3. Course of a function of one real variable
    4. Function of two variables
    5. Local and bounded extremes of a function of two variables
    6. Indefinite integral of one real variable
    7. Special substitutions in the indefinite integral
    8. Definite integral of one real variable
    9. Applications of the definite integral
    10. Infinite number series
    11. Infinite function series
    12. Introduction into ordinary differential equations
    13. Linear differential equations
Literature
    recommended literature
  • KAŇKA, M. Matematické praktikum : sbírka řešených příkladů z matematiky pro studenty vysokých škol. Praha : Ekopress, 2010. ISBN 978-80-86929-65-1. info
  • GODULOVÁ, M., JANÜ, I., STOKLASOVÁ, R. Matematika B. Karviná: OPF SU, 2003. ISBN 184-02-200. info
  • DEVLIN, K. Jazyk matematiky. Praha: Argo, 2002. ISBN 80-7203-470-7. info
  • REKTORYS, K. Co je a k čemu je vyšší matematika. Praha : Academia, 2001. ISBN 80-200-0883-7. info
  • CHIANG, C.C. Fundamentals Methods of Mathematical Economics. New York: cGraw-Hill, Inc., 2000. ISBN 0-12-417890-1. info
  • REKTORYS, K. Přehled užité matematiky 1. Praha : Prometheus, 2000. ISBN 80-7196-180-9. info
  • REKTORYS, K. a spol. Přehled užité matematiky 2. Praha : Prometheus, 2000. ISBN 80-7196-181-7. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
test, 70% attendance at the seminars, exam test, form of the exam: written.
The course is also listed under the following terms Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2020, Summer 2021, Summer 2022, Summer 2023, summer 2024.
  • Enrolment Statistics (Winter 2015, recent)
  • Permalink: https://is.slu.cz/course/opf/winter2015/INMNPMAT