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Probability and statistics I - NMUM403

Title:	Pravděpodobnost a matematická statistika I
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/1, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Is provided by:	NMTM403

Guarantor:	RNDr. Jitka Zichová, Dr. RNDr. Jakub Staněk, Ph.D.
Class:	Učitelství matematiky
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, Probability and Statistics Teaching > Mathematics
Incompatibility :	NMTM403
Interchangeability :	NMTM403
Is co-requisite for:	NMUM404
Is incompatible with:	NMTM403, NUMP013
Is interchangeable with:	NUMP013, NMTM403

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Annotation -

A course for future teachers of mathematics. Random events, conditional probability, independence. Random variables and their probability distributions.

Last update: T_KPMS (12.05.2015)

Aim of the course -

To explain basics of probability theory.

Last update: T_KPMS (12.05.2015)

Course completion requirements -

It is needed to get the assessment and pass the exam. The student get the assessment after passing a test written at the end of the semester. In case of failing the test in the regular term, the student can repeat the test, but at most twice. It is necessary to get the assessment before going to the exam.

Last update: Staněk Jakub, RNDr., Ph.D. (29.10.2019)

Literature -

Zvára, K., Štěpán, J: Pravděpodobnost a matematická statistika. Matfyzpress, Praha, 2012.

Rényi, A.: Teorie pravděpodobnosti. Academia, Praha, 1972.

Last update: Staněk Jakub, RNDr., Ph.D. (29.10.2019)

Teaching methods -

Lecture+exercises.

Last update: T_KPMS (12.05.2015)

Requirements to the exam -

The exam is oral. The student has time for preparation. Content of the exam corresponds to the syllabus of the subject in the extend presented in the lectures.

Last update: Staněk Jakub, RNDr., Ph.D. (29.10.2019)

Syllabus -

Elementary events and their probabilities.

Conditional probability.

Independent events.

Random variables.

Discrete probability distributions.

Continuous probability distributions.

Last update: T_KPMS (12.05.2015)

Entry requirements -

Basics of calculus and linear algebra.

Last update: Zichová Jitka, RNDr., Dr. (29.05.2019)