KMMATI Mathematics I

Faculty of Economics and Administration
Autumn 2008
Extent and Intensity
0/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor)
doc. RNDr. Miloslav Mikulík, 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 of Seminar Groups
KMMATI/01: Sat 20. 9. 13:45–16:15 P106, 13:45–16:15 P101, 13:45–16:15 P102, Sun 12. 10. 9:20–11:50 P101, 9:20–11:50 P106, 9:20–11:50 P102, Sat 1. 11. 9:20–11:50 P101, 9:20–11:50 P102, 9:20–11:50 P106, Sat 29. 11. 9:20–11:50 P101, 9:20–11:50 P102, 9:20–11:50 P106, M. Mikulík
KMMATI/02: Sun 28. 9. 9:20–11:50 P102, 9:20–11:50 P106, 9:20–11:50 P101, Sat 18. 10. 16:20–18:45 P106, 16:20–18:45 P101, 16:20–18:45 P102, Sat 8. 11. 9:20–11:50 P101, 9:20–11:50 P102, 9:20–11:50 P106, Sat 6. 12. 9:20–11:50 P106, 9:20–11:50 P102, 9:20–11:50 P101, M. Matulová
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
there are 6 fields of study the course is directly associated with, display
Course objectives
The aim of the course is to introduce the principal mathematical means necessary to formulate and solve economic problems. The graduates of the course should understand and be able to use basic terms and methods of linear algebra, especially matrices and solving systems of linear algebraic equations. They also revise some topics from elementary differential calculus. The course is followed by Mathematics II. (KMMAT2)
Syllabus
  • The basics of mathematical logic and the theory of sets. Elementary functions. Matrices, matrix relations and operations.
  • Vector spaces. Linear dependence and independence. Basis and dimension. Scalar product, norm and distance.
  • Determinants. Matrix rank. Systems of linear equations. Cramer's rule, elimination methods.
  • Frobenius theorem. Description of solution sets for homogeneous and inhomogeneous systems. Computation of matrix inverse. Eigenvectors and eigenvalues.
Literature
  • KAŇKA, Miloš and Jiří HENZLER. Matematika pro ekonomy. 1. vyd. Praha: Ekopress, 1997. 373 s. ISBN 8086119017. info
  • KLŮFA, Jindřich and Jan COUFAL. Matematika pro ekonomy. 1. vyd. Praha: Ekopress, 1997. 405 s. ISBN 8086119009. info
Assessment methods
Four tutorials, three homeworks. Oral and written examination.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2006, Autumn 2007.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/econ/autumn2008/KMMATI