230-0262/02 – Mathematical methods in safety engineering (MMBI)

Gurantor departmentDepartment of MathematicsCredits10
Subject guarantordoc. RNDr. Zdeněk Boháč, CSc.Subject version guarantordoc. RNDr. Zdeněk Boháč, CSc.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFBIIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOH10 doc. RNDr. Zdeněk Boháč, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 0+0
Part-time Examination 0+0

Subject aims expressed by acquired skills and competences

Main study goals: (i) to be acquainted with actual progress in this mathematical discipline, (ii) to extend needed theoretical knowledge with emphasized orientation to its applica-bility, (iii) to increase communication ability of specialists in different branches. With regard to professional orientation of students learning themes modification is offered to fulfill presented aims.

Teaching methods

Individual consultations
Project work

Summary

Regression and correlation analysis. Statistical hypothesis testing. Reliability theory. Stochastic processes. Simulation methods. Throughout the course each student will prepare a project solving a particular problem related to his study program. The topic is chosen based on mutual agreement of the students' advisor and the lecturer of this course.

Compulsory literature:

[1] Bennett, B. S.: Simulation fundamentals. Prentice Hall, London 1995. ISBN 0-13-813262-3

Recommended literature:

[1] Wayne L. Winston: Simulation modeling using Risk. Duxbury Press, Belmont 1996. ISBN 0-534-26492-1 [2] Misra K.B.: Reliability Analysis and Prediction, Elsevier, Amsterdam 1992. ISBN 0-444-89606-6

Way of continuous check of knowledge in the course of semester

V rámci předmětu student zpracuje elaborát řešící dílčí problém, který je součástí jeho studia. Téma je stanoveno po dohodě školitele a přednášejícího. Předmětem zkoušky je obhajoba předložené práce.

E-learning

Other requirements

No more requirements are put on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Correlation and regression analysis. Tests of statistical hypotheses. Reliability theory. Stochastic processes. Simulation methods.

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 pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

Show history

Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (P3908) Fire Protection and Industrial Safety K English Ostrava Choice-compulsory study plan
2023/2024 (P3974) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety K English Ostrava Choice-compulsory study plan
2022/2023 (P3908) Fire Protection and Industrial Safety P English Ostrava Choice-compulsory study plan
2022/2023 (P3974) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety K English Ostrava Choice-compulsory study plan
2022/2023 (P3974) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety P English Ostrava Choice-compulsory study plan
2021/2022 (P3974) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety K English Ostrava Choice-compulsory study plan
2021/2022 (P3974) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety P English Ostrava Choice-compulsory study plan
2021/2022 (P3908) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety K English Ostrava Choice-compulsory study plan
2021/2022 (P3908) Fire Protection and Industrial Safety P English Ostrava Choice-compulsory study plan
2020/2021 (P3974) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety K English Ostrava Choice-compulsory study plan
2020/2021 (P3974) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety P English Ostrava Choice-compulsory study plan
2020/2021 (P3908) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety K English Ostrava Choice-compulsory study plan
2020/2021 (P3908) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety P English Ostrava Choice-compulsory study plan
2019/2020 (P3908) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety K English Ostrava Choice-compulsory study plan
2019/2020 (P3974) Fire Protection and Industrial Safety (3908V009) Fire Protection and Safety K English Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2020/2021 Summer