SubjectsSubjects(version: 849)
Course, academic year 2019/2020
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Combinatorics and probability - OKB2310265
Title in English: Kombinatorika a pravděpodobnost
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2018
Semester: winter
E-Credits: 2
Examination process: winter s.:
Hours per week, examination: winter s.:0/0 C [hours/semester]
Extent per academic year: 4 [hours]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
State of the course: not taught
Language: Czech
Teaching methods: combined
Level: basic
Additional information: http://moodle.pedf.cuni.cz/course/view.php?id=234
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Guarantor: doc. RNDr. Antonín Jančařík, Ph.D.
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Pre-requisite : OKB2310207
Is co-requisite for: OKB1310105
Annotation -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
The secondary school knowledge of combinatoric operations (variation, combination, permutation) is revised and deepened. Transition from combinatorics to probability.
Aim of the course -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

The goal is to introduce the basis of combinatorics and to demostrate the calculation methods particular to this field on selected topics. Motivation by finding effective solutions to practical problems will be emphasized.

Literature -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

Calda, E.: Kombinatorika pro učitelské studium. Praha : Matfyzpress 1996.

Calda, E., Dupač, V.: Matematika pro gymnázia: Kombinatorika, pravděpodobnost, statistika. Praha : Prometheus 1993.

Sedláček, J.: Faktoriály a kombinační čísla. Škola mladých matematiků. Praha : Mladá fronta 1964.

Vilenkin, N. J.: Kombinatorika. Polytechnická knižnice. Praha : SNTL 1977.

Vrba, A.: Kombinatorika. Škola mladých matematiků. Praha : Mladá fronta 1980.

Teaching methods -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

Seminar.

Requirements to the exam - Czech
Last update: MOSNAF/PEDF.CUNI.CZ (16.11.2011)

Pro zápočet:
Samostudium a aktivní práce v průběhu semestru:
Napsání zápočtové písemky.

O známce rozhodne výsledek písemky.

Syllabus -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

Factorials, binomial coefficients.

Binomial series identity and resulting relations of binomial coefficients.

Combinatoric operations (summation rule, product rule, permutation, combination).

Inclusion and exclusion principle.

Dirichlet's principle.

Transition from combinatorics to probability.

 
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