MPE_VPAM Selected parts of applied mathematics

Faculty of Economics and Administration
Autumn 2025
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
doc. Mgr. Petr Zemánek, Ph.D. (lecturer)
doc. Mgr. Petr Zemánek, Ph.D. (seminar tutor)
Ing. Mgr. Vlastimil Reichel, Ph.D. (lecturer)
Ing. Mgr. Vlastimil Reichel, Ph.D. (seminar tutor)
Guaranteed by
doc. Mgr. Petr Zemánek, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Mgr. Jarmila Šveňhová
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
To recall and extend basic mathematical tools, which are needed for the master study at the faculty.
Learning outcomes
The knowledge of basic and advanced mathematical tools, which are needed for the master study at the faculty.
Syllabus
  • 1. Differential calculus of one variable 2. Integral calculus of one variable 3. Matrices 4. Differential calculus of two and more variables 5. Concave and quasiconcave functions 6. Local and global extrema 7. Constrained extrema, Kuhn-Tucker conditions
Literature
    required literature
  • SYDSÆTER, Knut, Peter J. HAMMOND, Arne STRØM and Andrés M. CARVAJAL. Essential mathematics for economic analysis. Fifth edition. Harlow: Pearson, 2016, xvi, 807. ISBN 9781292074610. info
  • SYDSÆTER, Knut. Further mathematics for economic analysis. 2st ed. Harlow: Prentice-Hall, 2008, xi, 616. ISBN 9780273713289. info
Teaching methods
Lectures and seminars. Homeworks.
Assessment methods
The final grade is composed of three parts: homeworks (max. 40 points), midterm test (max. 20 points), and final test (max. 40 points). The final test is available only for those students who achieve at least 40 points from homeworks and the midterm test.

The final evaluation is based on the following scale: (0-60)=F, [60-68)=E, [68-76)=D, [76-84)=C, [84-92)=B, [92-100]=A

Similar conditions apply to students going on Erasmus or other study stays. Details must be arranged with the lecturer.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught every week.
Teacher's information
https://mpevpam.page.link/V4SP
The course is also listed under the following terms Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2025, recent)
  • Permalink: https://is.muni.cz/course/econ/autumn2025/MPE_VPAM