310-2121/01 – Mathematics III (MIII)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorIng. Petra Schreiberová, Ph.D.Subject version guarantorIng. Petra Schreiberová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
OTI73 Mgr. Petr Otipka
KAH14 Mgr. Marcela Rabasová, Ph.D.
SKN002 Ing. Petra Schreiberová, Ph.D.
SVO19 Mgr. Ivona Tomečková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

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

Teaching methods

Lectures
Seminars
Tutorials
Project work
Other activities

Summary

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.

Compulsory literature:

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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Zápočet - odevzdání programu - absolvování 2 písemných testů Zkouška - kombinovaná

E-learning

http://mdg.vsb.cz/portal/m3/index.php

Další požadavky na studenta

There are no more requirements.

Prerequisities

Subject codeAbbreviationTitleRequirement
310-2111 MI Mathematics I Recommended
310-2112 MII Mathematics II Recommended
714-0366 MI Mathematics I Recommended
714-0367 MII Mathematics II Recommended

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. Random vector. The probability distribution. Expected value, covariance, coefficient of correlation. 7. Statistics. Statistical methods, descriptive statistics 8. Observed data. Point estimators, interval estimators. 9. Statistical hypothesis testing – the testing process, interpretation, importance. Parametric and non-parametric tests. 10. Correlation and regression analysis.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30
                Praktická část Written examination 60  25
                Teoretická část Oral examination 20  5
Mandatory attendence parzicipation: 80 %

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2341) Engineering P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2341) Engineering P Czech Šumperk 2 Compulsory study plan
2019/2020 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 2 Compulsory study plan
2019/2020 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 2 Compulsory study plan
2019/2020 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 2 Compulsory study plan
2019/2020 (B0713A070002) Energetics and Environments P Czech Ostrava 2 Compulsory study plan
2019/2020 (B0715A270011) Engineering P Czech Ostrava 2 Compulsory study plan
2019/2020 (B0715A270011) Engineering P Czech Šumperk 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner