bk601 Introduction to Mathematics

Faculty of Sports Studies
Autumn 2008
Extent and Intensity
0/8. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Martin Sebera, Ph.D. (lecturer)
Guaranteed by
Mgr. Martin Sebera, Ph.D.
Timetable of Seminar Groups
bk601/man_mat_s: Fri 12. 9. 17:50–19:50 K115, Fri 17. 10. 14:00–16:00 K115, Fri 14. 11. 15:00–16:20 K115, M. Sebera
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
At the end of this course, students should be able to:
* understand and be able to explain matrix and matrix operations;
* formulate a reasoned differential diagnosis for solving problems (equation systems, inverse matrix, determinants);
* use basic formulas for derivation
Syllabus
  • Chapter 1: Set Theory – basic constructs
  • Module 1.1 Set operations
  • Module 1.2 Notations
  • Chapter 2: VECTOR SPACE
  • Module 2.1 Conception of vector space
  • Module 2.2 Arithmetic vector space
  • Module 2.3 Subspace of vector space
  • Module 2.4 Linear dependence and independence
  • Module 2.5 Base a dimension of vector space
  • Chapter 3: MATRIX
  • Module 3.1 Conception of matrix
  • Module 3.2 Basic operations with matrixes
  • Module 3.3 Rank of matrix
  • Module 3.4 Multiplication of matrix
  • Chapter 4: DETERMINANTS
  • Module 4.1 Conception of determinant
  • Module 4.2 Properties of determinant
  • Module 4.3 Condensing method of calculation of determinant
  • Chapter 5: EQUATION SYSTEM
  • Module 5.1 Basis concepts
  • Module 5.2 Solving of equation system
  • Module 5.3 Methods of solving equation system
  • Chapter 6: MATRIX ALGEBRA
  • Module 6.1 Inversion matrix
  • Module 6.2 Matrix equations
Literature
  • REKTORYS, Karel. Přehled užité matematiky. I [Rektorys, 2000]. 7. vyd. Praha: Prometheus, 2000, 720 s. ISBN 80-7196-180-91. info
  • REKTORYS, Karel. Přehled užité matematiky. II [Rektorys, 2000]. 7. vyd. Praha: Prometheus, 2000, 874 s. ISBN 80-7196-181-72. info
  • ŠKRÁŠEK, Josef and Zdeněk TICHÝ. Základy aplikované matematiky. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1990, 853 s. ISBN 80-03-00111-0. info
  • ŠKRÁŠEK, Josef and Zdeněk TICHÝ. Základy aplikované matematiky. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1986, 896 s. URL info
  • ŠKRÁŠEK, Josef and Zdeněk TICHÝ. Základy aplikované matematiky. 1. vyd. Praha: Nakladatelství technické literatury, 1983, 876 s. info
Assessment methods
Writing test, 5 examples, for "pass" min. 3 examples must be done
Language of instruction
Czech
Further Comments
Study Materials
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fsps/autumn2008/bk601