714-0268 – Mathematics III (BcM3)
| Gurantor department | Department of Mathematics and Descriptive Geometry |
| Subject guarantor | Mgr. Jitka Krčková, Ph.D. |
| Study level | undergraduate or graduate |
Subject aims expressed by acquired skills and competences
The aim of the course is to provide theoretical and practical foundation for understanding of the meaning of basic probability terms and teach the student to statistical thinking as a way of understanding of the processes and events around us, to acquaint him with the basic methods of statistical data gathering and analyzing, and to show how to use these general procedures in other subjects of study and in practice.
Graduates of this course should be able to:
• understand and use the basic terms of combinatorics and probability theory;
• formulate questions that can be answered by the data, learn the principles of data collecting, processing and presenting;
• select and use appropriate statistical methods for data analysis;
• propose and evaluate conclusions (inferences) and predictions using the data.
Teaching methods
Lectures
Individual consultations
Tutorials
Other activities
Summary
Combinatorics and probability. Random events, operations with them, sample space.
Definitions of events' probability - classical, geometrical, statistics. Conditional probability. Total probability and independent events.
Random variable and its characteristics.
Basic types of probability distributions of discrete random variables.
Basic types of probability distributions of continuous random variables.
Random vector, probability distribution, numerical characteristics.
Statistical file with one factor. Grouped frequency distribution.
Statistical file with two factors.
Regression and correlation.
Random sample, point and interval estimations of parameters.
Hypothesis testing.iables: two-dimensional integrals, three-dimensional integrals,
line integral of the first and the second kind.
Probabilities of random events: axioms of probability,
conditional probability, independence. Random variables: discrete random
variables, continuous random variables, expected values. Important practical
distributions of discrete and continuous random variables.
Compulsory literature:
Recommended literature:
Additional study materials
Prerequisities
Co-requisities
Subject has no co-requisities.