bp4210 Fundamentals of Mathematics and Probability

Faculty of Sports Studies
autumn 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:
bp4210/01: Wed 11:00–12:40 B11/235, except Wed 18. 9., O. Racek
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
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
The course is also listed under the following terms Autumn 2019, autumn 2020, autumn 2021, autumn 2022, autumn 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fsps/autumn2024/bp4210