714-0334/01 – Compendium of Mathematics III (RzMIII)
Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 1 |
Subject guarantor | Ing. Petra Schreiberová, Ph.D. | Subject version guarantor | Ing. Petra Schreiberová, Ph.D. |
Study level | undergraduate or graduate | Requirement | Optional |
Year | 2 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2013/2014 | Year of cancellation | 2019/2020 |
Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The aim of Repetitorium is to enable
the understanding of mathematics subject matter by solving concrete exercises. Repetitorium will be primarily focused
on practical part of the exam; the exercises that correspond to the written part of the exam will be solved there.
Teaching methods
Tutorials
Summary
Introduction to probability, Discrete and continuous random variables, Numerical characteristics of random variables,
Exploratory data analysis, Point and interval estimations of parameters, Hypothesis testing, Simple linear regression
model.
Compulsory literature:
Recommended literature:
http://stattrek.com/tutorials/statistics-tutorial.aspx
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
There are no other requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Combinatorics. Random events, operations with them, sample space.
2. Definitions of probability events - classical, geometrical, statistics. Conditional probability, Bayes' theorem.
Bernoulli independent repeated trials.
3. Discrete random variable and continuous random variable. Functions of random variables. Moment-generating function,
quantiles.
4. Discrete probability distribution.
5. Continuous probability distribution.
6. Statistics. Statistical methods, descriptive statistics
7. Observed data. Point estimators, interval estimators.
8. Statistical hypothesis testing – the testing process, interpretation, importance. Parametric tests.
9. Correlation and regression analysis.
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction