310-2122/01 – Compendium of Mathematics III (RzMIII)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantorIng. Petra Schreiberová, Ph.D.Subject version guarantorIng. Petra Schreiberová, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year2Semestersummer
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, Ph.D.
KAH14 Mgr. Marcela Rabasová, Ph.D.
SKN002 Ing. Petra Schreiberová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+1
Part-time Credit 0+6

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:

W.J. DeCoursey: Statistics and Probability for Engineering Applications With Microsoft(R) Excel. Copyright © 2003 Elsevier Inc. ISBN 978-0-7506-7618-2. Available on-line: http://www.sciencedirect.com/science/book/9780750676182 Atwood C. L. Hits per Trial: Basic Analysis of Binomial Data. Department of Energy, 1994 ; DOI: 10.2172/10191270. Available on-line: http://www.osti.gov/bridge/product.biblio.jsp?osti_id=10191270

Recommended literature:

http://stattrek.com/tutorials/statistics-tutorial.aspx

Way of continuous check of knowledge in the course of semester

participation on tutorials is obligatory (min. 3 tutorials)

E-learning

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

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

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit Credit   3
Mandatory attendence participation: 3 tutorials minimum or solving of the given examples

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Conditions for subject completion and attendance at the exercises within ISP: In order to complete the credit, students solve the given examples.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 2 Optional study plan
2024/2025 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 2 Optional study plan
2024/2025 (B0713A070002) Energetics and Environments P Czech Ostrava 2 Optional study plan
2024/2025 (B0713A070002) Energetics and Environments K Czech Ostrava 2 Optional study plan
2024/2025 (B0715A270011) Engineering P Czech Šumperk 2 Optional study plan
2024/2025 (B0715A270011) Engineering K Czech Uherský Brod 2 Optional study plan
2024/2025 (B0715A270011) Engineering K Czech Šumperk 2 Optional study plan
2024/2025 (B0715A270011) Engineering P Czech Ostrava 2 Optional study plan
2024/2025 (B0715A270011) Engineering K Czech Ostrava 2 Optional study plan
2023/2024 (B0713A070002) Energetics and Environments K Czech Ostrava 2 Optional study plan
2023/2024 (B0713A070002) Energetics and Environments P Czech Ostrava 2 Optional study plan
2023/2024 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 2 Optional study plan
2023/2024 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 2 Optional study plan
2023/2024 (B0715A270011) Engineering P Czech Ostrava 2 Optional study plan
2023/2024 (B0715A270011) Engineering K Czech Ostrava 2 Optional study plan
2023/2024 (B0715A270011) Engineering P Czech Šumperk 2 Optional study plan
2023/2024 (B0715A270011) Engineering K Czech Šumperk 2 Optional study plan
2023/2024 (B0715A270011) Engineering K Czech Uherský Brod 2 Optional study plan
2022/2023 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 2 Optional study plan
2022/2023 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 2 Optional study plan
2022/2023 (B0713A070002) Energetics and Environments P Czech Ostrava 2 Optional study plan
2022/2023 (B0713A070002) Energetics and Environments K Czech Ostrava 2 Optional study plan
2022/2023 (B0715A270011) Engineering P Czech Ostrava 2 Optional study plan
2022/2023 (B0715A270011) Engineering K Czech Ostrava 2 Optional study plan
2022/2023 (B0715A270011) Engineering P Czech Šumperk 2 Optional study plan
2022/2023 (B0715A270011) Engineering K Czech Šumperk 2 Optional study plan
2022/2023 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 2 Optional study plan
2022/2023 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 2 Optional study plan
2022/2023 (B2341) Engineering K Czech Ostrava 2 Optional study plan
2022/2023 (B0715A270011) Engineering K Czech Uherský Brod 2 Optional study plan
2021/2022 (B0715A270011) Engineering K Czech Ostrava 2 Optional study plan
2021/2022 (B0715A270011) Engineering K Czech Uherský Brod 2 Optional study plan
2021/2022 (B0715A270011) Engineering P Czech Ostrava 2 Optional study plan
2021/2022 (B0715A270011) Engineering P Czech Šumperk 2 Optional study plan
2021/2022 (B0715A270011) Engineering K Czech Šumperk 2 Optional study plan
2021/2022 (B0713A070002) Energetics and Environments K Czech Ostrava 2 Optional study plan
2021/2022 (B0713A070002) Energetics and Environments P Czech Ostrava 2 Optional study plan
2021/2022 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 2 Optional study plan
2021/2022 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 2 Optional study plan
2021/2022 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 2 Optional study plan
2021/2022 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 2 Optional study plan
2021/2022 (B2341) Engineering K Czech Ostrava 2 Optional study plan
2020/2021 (B0715A270011) Engineering P Czech Ostrava 2 Optional study plan
2020/2021 (B0715A270011) Engineering K Czech Ostrava 2 Optional study plan
2020/2021 (B0715A270011) Engineering K Czech Šumperk 2 Optional study plan
2020/2021 (B0715A270011) Engineering K Czech Uherský Brod 2 Optional study plan
2020/2021 (B0715A270011) Engineering P Czech Šumperk 2 Optional study plan
2020/2021 (B0713A070002) Energetics and Environments K Czech Ostrava 2 Optional study plan
2020/2021 (B0713A070002) Energetics and Environments P Czech Ostrava 2 Optional study plan
2020/2021 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 2 Optional study plan
2020/2021 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 2 Optional study plan
2020/2021 (B2341) Engineering P Czech Ostrava 2 Optional study plan
2020/2021 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Ostrava 2 Optional study plan
2020/2021 (B2341) Engineering K Czech Ostrava 2 Optional study plan
2020/2021 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 2 Optional study plan
2020/2021 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 2 Optional study plan
2019/2020 (B2341) Engineering P Czech Ostrava 2 Optional study plan
2019/2020 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 2 Optional study plan
2019/2020 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 2 Optional study plan
2019/2020 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 2 Optional study plan
2019/2020 (B2341) Engineering K Czech Ostrava 2 Optional study plan
2019/2020 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Ostrava 2 Optional study plan
2019/2020 (B0715A270011) Engineering P Czech Ostrava 2 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Ostrava 2 Optional study plan
2019/2020 (B0715A270011) Engineering P Czech Šumperk 2 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Šumperk 2 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Uherský Brod 2 Optional study plan
2019/2020 (B0713A070002) Energetics and Environments P Czech Ostrava 2 Optional study plan
2019/2020 (B0713A070002) Energetics and Environments K Czech Ostrava 2 Optional study plan
2019/2020 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 2 Optional study plan
2019/2020 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 2 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2022/2023 Summer
2021/2022 Summer
2020/2021 Summer
2019/2020 Summer