BPM_MATE Mathematics

Faculty of Economics and Administration
Spring 2011
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: graded credit.
Teacher(s)
RNDr. Luboš Bauer, CSc. (lecturer)
RNDr. Luboš Bauer, CSc. (seminar tutor)
Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor)
doc. RNDr. Miloslav Mikulík, CSc. (seminar tutor)
RNDr. Václav Studený, Ph.D. (seminar tutor)
doc. RNDr. Vítězslav Veselý, CSc. (seminar tutor)
Guaranteed by
RNDr. Luboš Bauer, CSc.
Department of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Contact Person: Lenka Hráčková
Timetable
Wed 11:05–12:45 P102, Wed 11:05–12:45 P101
  • Timetable of Seminar Groups:
BPM_MATE/01: Fri 9:20–11:00 P303, M. Mikulík
BPM_MATE/02: Thu 8:30–10:05 P312, V. Studený
BPM_MATE/03: Thu 10:15–11:50 P312, V. Studený
BPM_MATE/04: Wed 18:00–19:35 P303, L. Bauer
BPM_MATE/05: Thu 17:10–18:45 P312, M. Matulová
BPM_MATE/06: No timetable has been entered into IS. V. Studený
BPM_MATE/07: Thu 17:10–18:45 P201, M. Mikulík
BPM_MATE/08: Wed 16:20–17:55 P103, V. Studený
BPM_MATE/09: No timetable has been entered into IS. V. Veselý
BPM_MATE/10: Wed 14:35–16:15 P304, M. Matulová
BPM_MATE/11: Wed 16:20–17:55 P312, V. Veselý
BPM_MATE/12: Wed 18:00–19:35 P104, M. Mikulík
BPM_MATE/13: Wed 14:35–16:15 P312, V. Veselý
BPM_MATE/14: Thu 8:30–10:05 P201, M. Matulová
BPM_MATE/15: Thu 10:15–11:50 P201, M. Mikulík
BPM_MATE/16: Thu 12:00–13:35 P201, L. Bauer
BPM_MATE/17: Thu 15:30–17:05 P201, L. Bauer
BPM_MATE/18: Thu 12:00–13:35 P312, V. Studený
BPM_MATE/19: Thu 7:40–9:15 P304, M. Mikulík
BPM_MATE/20: Thu 9:20–11:00 P304
BPM_MATE/21: Wed 16:20–17:55 P303, L. Bauer
BPM_MATE/22: No timetable has been entered into IS. V. Veselý
Prerequisites (in Czech)
((! PMMATI Mathematics I ) && (! PMMAT2 Mathematics II )) || ((! PMZMI Introduction to mathematics I ) && (! PMZMII Introduction to Mathematics II ) && (! PMZM3 Introduction to mathematicsIII ))
Jako výchozí úroveň se předpokládá znalost matematiky na úrovni maturity na gymnasiu. Studenti po zápisu do 1. semestru absolvují test ze středoškolské matematiky. Pro vyrovnání znalostí bude doporučen kurz Matematika 0, který bude realizován v 1. semestru v rámci CŽV.
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 aim of the course is to introduce the principal mathematical means necessary to solve economic problems and to prepare essential foundations for the following subjects (statistics and quantitative methods in economy). In addition to this, the subject contributes to the development of logical thinking.
At the end of the course students should be able to:
- apply the basic terms and methods of linear algebra (especially matrices, determinants);
- solve systems of equations of the first degree;
- use the basic techniques of differential and integral calculus;
- continue in the study of follow-up courses (especially mathematical statistics).
Syllabus
  • 1. Linear spaces
  • 2. Matrixes, determinants
  • 3. Solving systems of linear equations
  • 4. Introduction to linear programming
  • 5. Differential calculus of functions with a single variable (elementary functions, limit, derivatives)
  • 6. Differential calculus of functions with a single variable (characteristics of function)
  • 7. Differential calculus of functions with a single variable (differential of a function, Taylor's theorem)
  • 8. Differential calculus of functions of more variables (limit and continuity. partial derivatives, Taylor's theorem, extremes)
  • 9. Sequences
  • 10. Indefinite integral (integrating by substitution, integrating of rational functions)
  • 11. Definite integral, infinite integral
  • 12. Double and multiple integral
  • 13. Infinite series
Literature
  • KLŮFA, Jindřich and Jan COUFAL. Matematika pro ekonomy. 1. vyd. Praha: Ekopress, 1997, 405 s. ISBN 8086119009. info
  • KAŇKA, Miloš and Jiří HENZLER. Matematika pro ekonomy. 1. vyd. Praha: Ekopress, 1997, 373 s. ISBN 8086119017. info
  • MIKULÍK, Miloslav. Matematika A. 1. vyd. Brno: Masarykova univerzita, 2004, 293 s. ISBN 8021034947. info
  • MIKULÍK, Miloslav. Matematika B. 1. vyd. Brno: Masarykova univerzita, 2005, 308 s. ISBN 8021036400. info
Teaching methods
The course consists of lectures and seminars.
Assessment methods
Graded credit requirements:
1. Adequately active participation at seminars
2. Success at progress test
3. Success at final test
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
General note: Nezapisují si studenti, kteří absolvovali předmět PMMATI a PMMAT2 || PMZMI a PMZMII a PMZM3.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2010, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (Spring 2011, recent)
  • Permalink: https://is.muni.cz/course/econ/spring2011/BPM_MATE