SubjectsSubjects(version: 867)
Course, academic year 2019/2020
  
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 2018
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
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
K//Is co-requisite for: NMUM404
Annotation -
Last update: T_KPMS (12.05.2015)
A course for future teachers of mathematics. Random events, conditional probability, independence. Random variables and their probability distributions.
Aim of the course -
Last update: T_KPMS (12.05.2015)

To explain basics of probability theory.

Course completion requirements -
Last update: RNDr. Jakub Staněk, Ph.D. (29.10.2019)

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.

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

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

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

Teaching methods -
Last update: T_KPMS (12.05.2015)

Lecture+exercises.

Requirements to the exam -
Last update: RNDr. Jakub Staněk, Ph.D. (29.10.2019)

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.

Syllabus -
Last update: T_KPMS (12.05.2015)

Elementary events and their probabilities.

Conditional probability.

Independent events.

Random variables.

Discrete probability distributions.

Continuous probability distributions.

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

Basics of calculus and linear algebra.

 
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