bk1014 Bases of Mathematics

Faculty of Sports Studies
Autumn 2009
Extent and Intensity
0/16. 4 credit(s). Type of Completion: graded credit.
Teacher(s)
Mgr. Petr Huta (lecturer)
Mgr. Martin Sebera, Ph.D. (seminar tutor)
Guaranteed by
Mgr. Martin Sebera, Ph.D.
Timetable of Seminar Groups
bk1014/man_mat_s: Fri 25. 9. 13:00–15:00 pavilon B, schodiště B1, učebna 9.C, Fri 9. 10. 15:15–17:15 pavilon B, schodiště B1, učebna 9.C, Fri 23. 10. 10:00–12:00 E34/203 - seminární místnost, Fri 30. 10. 16:00–18:00 pavilon B, schodiště B1, učebna 9.B, Fri 13. 11. 14:00–16:00 pavilon B, schodiště B1, učebna fyziky, M. Sebera
Prerequisites (in Czech)
(! bk601 Introduction to Mathematics ) && ! NOW( bk601 Introduction to Mathematics )
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
  • Chapter 7: DERIVATION
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
Teaching methods
lectures and class exercises
Assessment methods
Writing test, 5 examples, for pass minimally 4 examples must be done
Language of instruction
Czech
Further Comments
Study Materials
The course is also listed under the following terms Autumn 2010, Autumn 2011.
  • Enrolment Statistics (Autumn 2009, recent)
  • Permalink: https://is.muni.cz/course/fsps/autumn2009/bk1014