Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |

Subject guarantor | Ing. Petra Schreiberová, Ph.D. | Subject version guarantor | Mgr. Petr Otipka |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 2 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2010/2011 | Year of cancellation | 2019/2020 |

Intended for the faculties | FS | Intended for study types | Bachelor |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

OTI73 | Mgr. Petr Otipka | ||

SKN002 | Ing. Petra Schreiberová, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Combined | Credit and Examination | 12+4 |

The goal of the course is to serve as a theoretical and practical base to understand the importance of the basic notions in probability, and teach the student statistical way of thinking as a mean of understanding real life processes, introduce basic methods of collecting and analysing statistical data, and show the student how to use these general methods in other courses of study and in professional career.
The graduate of this course should be able:
• understand and use basic notions in combinatorics and probability theory
• formulate questions, which can be answered based on the given data, for this purpose learn the principles of collecting, processing data and presentation of relevant values and results
• choose and use suitable statistical methods for data analysis
• suggest and evaluate conclusions (inference) and predictions obtained from data

Lectures

Seminars

Tutorials

Project work

Other activities

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.Estimating of parameters of population. Testing of
hypotheses. Exercises - EXCEL.

Boháč, Zdeněk: Numerical Methods and Statistics, VŠB – TUO, Ostrava 2005.
ISBN 80-248-0803-X

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications.
D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993.
ISBN 0-201-56519-6

Požadavky pro udělení zápočtu a zkoušky
Zápočet:
Podmínky pro udělení zápočtu:
Za účast na konzultacích může student získat 5 - 20 b, v případě neúčasti může student získat 5 b za zpracování zadaného programu.
Kombinovaná zkouška:
Podmínkou pro účast na zkoušce je zapsaný zápočet z příslušného předmětu.
Písemná část zkoušky bude hodnocena 0 - 60 b, za její úspěšné absolvování bude považován zisk 25 b.
Ústní část zkoušky bude hodnocena 0 - 20 b, za její úspěšné absolvování bude považován zisk 5 b.

Syllabus of lectures
=================
I. Probability
--------------------
Combinatorics.
Random events, operations with them, sample space.
Definitions of probability events - classical, geometrical, statistics.
Conditional probability, Bayes' theorem.
Bernoulli independent repeated trials.
II. Discrete random variable and continuous random variable.
----------------------------------------------------------------------------------------
Functions of random variables. Moment-generating function, quantiles.
Discrete probability distribution.
Continuous probability distribution.
Random vector. The probability distribution. Expected value, covariance, coefficient of correlation.
III. Statistics.
Statistical methods, descriptive statistics
Observed data. Point estimators, interval estimators.
Statistical hypothesis testing – the testing process, interpretation, importance.
Parametric and non-parametric tests.
Correlation and regression analysis.
Time series.
Forecasting. Time series methods.

Subject code | Abbreviation | Title | Requirement |
---|---|---|---|

714-0366 | MI | Mathematics I | Compulsory |

714-0367 | MII | Mathematics II | Compulsory |

Subject has no co-requisities.

Syllabus of lectures
=================
I. Probability
--------------------
Combinatorics.
Random events, operations with them, sample space.
Definitions of probability events - classical, geometrical, statistics.
Conditional probability, Bayes' theorem.
Bernoulli independent repeated trials.
II. Discrete random variable and continuous random variable.
----------------------------------------------------------------------------------------
Functions of random variables. Moment-generating function, quantiles.
Discrete probability distribution.
Continuous probability distribution.
Random vector. The probability distribution. Expected value, covariance, coefficient of correlation.
III. Statistics.
Statistical methods, descriptive statistics
Observed data. Point estimators, interval estimators.
Statistical hypothesis testing – the testing process, interpretation, importance.
Parametric and non-parametric tests.
Correlation and regression analysis.
Time series.
Forecasting. Time series methods.

Conditions for completion are defined only for particular subject version and form of study

Academic year | Programme | Field of study | Spec. | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|

2018/2019 | (B2341) Engineering | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2018/2019 | (B2341) Engineering | K | Czech | Šumperk | 2 | Compulsory | study plan | ||||

2018/2019 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2018/2019 | (B2341) Engineering | (2302R010) Design of Machines and Equipment | (50) Hunting, Sporting, Defense Arms and Ammunition | K | Czech | Uherský Brod | 2 | Compulsory | study plan | ||

2017/2018 | (B2341) Engineering | K | Czech | Šumperk | 2 | Compulsory | study plan | ||||

2017/2018 | (B2341) Engineering | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2017/2018 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2016/2017 | (B2341) Engineering | K | Czech | Šumperk | 2 | Compulsory | study plan | ||||

2016/2017 | (B2341) Engineering | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2016/2017 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2016/2017 | (B2341) Engineering | (2302R010) Design of Machines and Equipment | (50) Hunting, Sporting, Defense Arms and Ammunition | K | Czech | Uherský Brod | 2 | Compulsory | study plan | ||

2015/2016 | (B2341) Engineering | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2015/2016 | (B2341) Engineering | K | Czech | Šumperk | 2 | Compulsory | study plan | ||||

2015/2016 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2014/2015 | (B2341) Engineering | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2014/2015 | (B2341) Engineering | K | Czech | Šumperk | 2 | Compulsory | study plan | ||||

2014/2015 | (B2341) Engineering | (2302R010) Design of Machines and Equipment | (50) Hunting, Sporting, Defense Arms and Ammunition | K | Czech | Uherský Brod | 2 | Compulsory | study plan | ||

2014/2015 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2013/2014 | (B2341) Engineering | K | Czech | Šumperk | 2 | Compulsory | study plan | ||||

2013/2014 | (B2341) Engineering | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2013/2014 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Šumperk | 2 | Compulsory | study plan | |||

2013/2014 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2012/2013 | (B2341) Engineering | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2012/2013 | (B2341) Engineering | K | Czech | Šumperk | 2 | Compulsory | study plan | ||||

2012/2013 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2012/2013 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Šumperk | 2 | Compulsory | study plan | |||

2012/2013 | (B2341) Engineering | (2302R010) Design of Machines and Equipment | (50) Hunting, Sporting, Defense Arms and Ammunition | K | Czech | Uherský Brod | 2 | Compulsory | study plan | ||

2011/2012 | (B2341) Engineering | (2301R003) Transport Equipment and Technology | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2011/2012 | (B2341) Engineering | K | Czech | Šumperk | 2 | Compulsory | study plan | ||||

2011/2012 | (B2341) Engineering | K | Czech | Ostrava | 2 | Compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner | |
---|---|---|---|---|---|---|---|---|---|

Subject block without study plan - FS - K - cs | 2017/2018 | Combined | Czech | Optional | FS - Faculty of Mechanical Engineering | stu. block |