Subjects

Subjects(version: 964)
Course, academic year 2024/2025

Study Information System

The page is loading...
Application Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Combinatorics and probability - OB2310265

Title:	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.:1/0, C [HT]
Capacity:	unknown / unknown (999)
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
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 :	OB2310207
Is co-requisite for:	OB1310105

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Basic concepts of combinatorics, permutation, combination, combinatorial probability, random events, random variables, independence, conditional probability, distribution of probability

Last update: MOSNAF/PEDF.CUNI.CZ (24.10.2012)

Aim of the course -

Primary purpose of the course is to make students acquainted with basic concepts of combinatorics and probability, the basic knowledges, connections and rules for calculationg of corresponding examples. Secondary aim is to prove, repetite and fix knowledges from secondary school mathematics.

Last update: MOSNAF/PEDF.CUNI.CZ (24.10.2012)

Literature -

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.

Last update: MOSNAF/PEDF.CUNI.CZ (24.10.2012)

Teaching methods -

Seminar.

Last update: MOSNAF/PEDF.CUNI.CZ (24.10.2012)

Requirements to the exam -

credit requirements: active participation at seminars, the control tests consisting from examples presented at materials on Moodle, (there will be two terms during the examination period for possible correction)

Last update: MOSNAF/PEDF.CUNI.CZ (24.10.2012)

Syllabus -

Combinatorics - combinatorial rules of product and sum, permutation, combination (with repeating, without repeating), binomial theorem, combinatorial identities, inclusion-exclusion principle, pigeonhole principle.
Probability - random event, combinatorial probability, random variable and its distribution of probability, conditional probability, independence of random events and variables, distribution function, moments

Last update: MOSNAF/PEDF.CUNI.CZ (24.10.2012)

Charles University | Information system of Charles University | http://www.cuni.cz/UKEN-329.html