PMMAT_E Mathematics - E

Faculty of Economics and Administration
Autumn 2008
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Luboš Bauer, CSc. (lecturer)
RNDr. Luboš Bauer, CSc. (seminar tutor)
Guaranteed by
prof. Ing. Osvald Vašíček, CSc.
Department of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Contact Person: Lenka Hráčková
Timetable
Wed 16:20–17:55 P101
  • Timetable of Seminar Groups:
PMMAT_E/1: Thu 17:10–17:55 P303, L. Bauer
PMMAT_E/2: Thu 12:00–12:45 P103, L. Bauer
PMMAT_E/3: Thu 12:50–13:35 P103, L. Bauer
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.

The capacity limit for the course is 94 student(s).
Current registration and enrolment status: enrolled: 0/94, only registered: 0/94
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. In addition to this, the course contributes to the development of logical thinking. The graduates of the course should understand and be able to use the principles of mathematical logic and the theory of sets, basic terms and methods of linear algebra (especially matrices, determinants and solving systems of equations of the first degree), and differential and integral calculus of functions with a single variable.
Syllabus
  • 1. Matrix, linear dependence and independence. Matrix rank, matrix operations.
  • 2. Determinants. Matrix inverse.
  • 3. Systems of linear equations. Cramer's rule, elimination methods, Frobenius theorem. Computation of matrix inverse.
  • 4. Functions with a single variable. Even and odd, periodic and monotonous functions. Inverse function.
  • 5. Elementary functions. Polynomials, rational functions, partial fraction decomposition.
  • 6. Limit of function, continuous function. Limit theorems. Derivatives.
  • 7. Local and global extremes. Inflex points. Characteristics of function.
  • 8. Taylor's theorem and differential of a function - approximation of a function.
  • 9. Sequences, basic characteristics. Limit of sequence, divergent sequence.
  • 10. Primitive function. Integrating by simplification. Integrating by parts.
  • 11. Integrating by substitution. Integrating rational functions.
  • 12. Definite integral. Methods for the definite integral and applications. Infinite integral.
  • 13. Infinite series. Sequence of partial sums, sum of series. Convergence criteria.
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
Assessment methods
The course consists of lectures and seminars. Required: active participation in seminars (max. 2 absences). Written and oral examination.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
General note: Předmět si zapisují výhradně studenti oboru EHSKS.
The course is also listed under the following terms Autumn 2005, Autumn 2006, Autumn 2007.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/econ/autumn2008/PMMAT_E