FSpS:bp1014 Bases of Mathematics - Course Information
bp1014 Bases of Mathematics
Faculty of Sports StudiesAutumn 2009
- Extent and Intensity
- 0/2. 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
- bp1014/s1: Wed 13:30–15:30 pavilon B, schodiště B1, učebna 9.B, M. Sebera
bp1014/s2: Wed 15:30–17:30 pavilon B, schodiště B1, učebna 9.B, M. Sebera - Prerequisites (in Czech)
- (! bp601 Introduction to Mathematics ) && ! NOW ( bp601 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
- Management in Sport (programme FSpS, B-TV)
- Management in Sport (programme FSpS, B-TV, specialization Management of Tourist Trade)
- Management in Sport (programme FSpS, B-TV, specialization Management in Sport)
- Physical Education and Sport (programme FSpS, B-TV, specialization Management of Tourist Trade)
- 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
- Enrolment Statistics (Autumn 2009, recent)
- Permalink: https://is.muni.cz/course/fsps/autumn2009/bp1014