FSpS:bp4210 Mathematics and Probability - Course Information
bp4210 Fundamentals of Mathematics and Probability
Faculty of Sports Studiesautumn 2024
- Extent and Intensity
- 1/2/0. 6 credit(s). Type of Completion: zk (examination).
In-person direct teaching - Teacher(s)
- Mgr. Bc. Oldřich Racek, Ph.D. (lecturer)
PhDr. Jitka Kampasová (seminar tutor)
Mgr. Bc. Oldřich Racek, Ph.D. (seminar tutor) - Guaranteed by
- Mgr. Bc. Oldřich Racek, Ph.D.
Department of Sport Performance and Exercise Testing – Faculty of Sports Studies
Supplier department: Department of Sport Performance and Exercise Testing – Faculty of Sports Studies - Timetable
- Wed 10:00–10:50 B11/206, except Wed 18. 9.
- Timetable of Seminar Groups:
bp4210/02: Wed 8:00–9:40 B11/236, except Wed 18. 9., O. Racek - Prerequisites (in Czech)
- BOZP_OK(bozp_po_stud) && BOZP_OK(bozp_po_stud_fsps)
- 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
- Management in Sport (programme FSpS, B-TVS) (2)
- Course objectives
- The aim of the course is to prepare students for the use of mathematical methods, which will be further developed in the quantitative analysis of related subjects and in practice.
- Learning outcomes
- - control operations and calculations
- to define and interpret the basic concepts of the area of the differential calculus of the functions of one variable
- Define and interpret the basic concepts of the area of integral calculus of the functions of one variable
- control the calculations of matrices, determinants and systems of linear equations
- Understand the basic concepts of probability theory
- apply acquired knowledge to solving examples and real problems - Syllabus
- 1. Logic, sets
- 2. Display, function and its properties
- 3. Limit and continuity of function
- 4. Derivatives
- 5. L'hospital rule
- 6. The course of the function
- 7. Integral
- 8. Nuts
- 9. Determinants
- 10. Combinatorics
- 11. Random phenomenon. Independence of random phenomena, properties of independent phenomena, group independence
- 12. Probability, conditional probability
- 13. Full probability and Bayes theorem
- Literature
- NEUBAUER, Jiří, Marek SEDLAČÍK and Oldřich KŘÍŽ. Základy statistiky : aplikace v technických a ekonomických oborech. 1. vyd. Praha: Grada, 2012, 236 s. ISBN 9788024742731. info
- BÍLKOVÁ, Diana, Petr BUDINSKÝ and Václav VOHÁNKA. Pravděpodobnost a statistika. Plzeň: Vydavatelství a nakladatelství Aleš Čeněk, 2009, 639 s. ISBN 9788073802240. info
- DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 8072005871. info
- 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
- ŠIK, František. Lineární algebra zaměřená na numerickou analýzu. Vyd. 1. Brno: Masarykova univerzita v Brně, 1998, 177 s. ISBN 8021019662. info
- NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
- NOVÁK, Vítězslav. Diferenciální počet v R. 2. přeprac. vyd. Brno: Masarykova univerzita, 1997, 231 s. ISBN 8021015616. info
- NOVÁK, Vítězslav. Integrální počet funkcí jedné proměnné. 1. vyd. Brno: Rektorát UJEP Brno, 1980, 89 s. info
- Teaching methods
- Teaching is conducted in the form of lectures and seminars.
- Assessment methods
- The exam is written.
Student will be admitted to the exam when he / she successfully passes two mid-term tests with an average score of 50% during the semester.
Rating:
A - 100% - 90%
B - 89% - 85%
C - 84% - 75%
D - 74% - 70%
E - 69% - 60%
If a student commits any disciplinary offense, this behavior will be deemed not to meet the conditions for terminating the subject. The lecturer enters the exam (assessment) in the IS with a mark "F" and the dean initiates disciplinary proceedings, resulting in the completion of studies. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/fsps/autumn2024/bp4210