ZKP Basics of Combinatorics and Probability

Institute of Technology and Business in České Budějovice
summer 2024
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Ing. Květa Papoušková (seminar tutor)
Guaranteed by
Ing. Martin Telecký, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
ZKP/PS4: Sun 12. 5. 9:40–11:10 D515, 11:25–12:55 D515, Sun 2. 6. 13:05–14:35 D515, 14:50–16:20 D515, K. Papoušková
Prerequisites (in Czech)
MAX_KOMBINOVANYCH ( 30 )
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
The aim of the course is to complete the knowledge on mathematics to the level required in the introductory course of statistics in the subjects STA_z and STA and the follow-up courses Operational Research II and Decision Theory with codes OVY_2z and N_TOR.
Learning outcomes
After successfully mastering the subject, the student is able to distinguish basic combinatorial procedures and then apply them practically to solving verbal tasks. Student knows the problem of combinatorial equations and is oriented in the probability distribution and its characteristics.
Syllabus
  • 1. Factorial numbers, combinatorial numbers and their properties 2. Equations with combinatorial numbers 3. The rule of the combinatorial sum and product 4. Variations 5. Permutations 6. Combinations 7. Probability - properties 8. Probability of the random event 9. Statistical probability 10. Conditional probability 11. Penetration probability 12. Probability of unique events 13. Independent experiments
Literature
    required literature
  • PAPOUŠKOVÁ, Květa and Jana VYSOKÁ. Základy kombinatoriky a pravděpodobnosti: Sbírka příkladů pro studenty prezenční a kombinované formy (Fundamentals of Combinatorics and Probability: A collection of examples for full-time and part-time students). České Budějovice: Vysoká škola technická. 77 pp. ISBN 978-80-7468-168-4. 2020. info
    recommended literature
  • ROBOVÁ, J., HÁLA, M., CALDA, E.: Komplexní čísla, kombinatorika, pravděpodobnost a statistika: pro SŠ, Praha: Prometheus, 2014. ISBN 978-80-7196-425-4
  • KUBÁT, J.: Maturitní minimum - sbírka úloh z matematiky k příjímacím zkouškám na vysoké školy. Praha: Prometheus, 2010. ISBN 978-80-7196-030-0
  • MAREK, L: STATISTIKA V PŘÍKLADECH. Praha: Professional Publishing, 2015. ISBN 978-80-7431-153-6
  • PETÁKOVÁ, J. Matematika – příprava k maturitě a k přijímacím zkouškám na vysoké školy. Praha: Prometheus, 2006. ISBN 80-7196-099-3.
Forms of Teaching
Seminar
Exercise
Teaching Methods
Frontal Teaching
Critical Thinking
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for the Mid-term Test13 
Preparation for the Final Test13 
Attendance on Seminars/Exercises/Tutorial/Excursion26 
Total:520
Assessment Methods and Assesment Rate
Test – mid-term 30 %
Test – final 70 %
Exam conditions
Grading of the course: Activity during seminar: maximum 30% (0-30 points), Final Test: maximum 70% (0-70 points). Passing the final test. The test contains 5 examples for a total of 70 points. Up to 30 points can be obtained for activity at the seminar. Total classification of the course. Points for the test (70 - 0) + points from the continuous evaluation (30 - 0): 100 - 70 counted, possibility to repeat the test 69.99 - 30, not counted 29.99 - 0.
Language of instruction
Czech
The course is also listed under the following terms summer 2020, winter 2020, summer 2021, summer 2022, SUMMER 2023.
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