Course detail
Mathematics IV
FSI-4MAcad. year: 2024/2025
The course makes students familiar with descriptive statistics, random events, probability, random variables and vectors, probability distributions, random sample, parameters estimation, tests of hypotheses, and linear regression analysis. Seminars include solving problems and applications related to mechanical engineering. PC support is dealt with in the course entitled Statistical Software, which is optional.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
Seminar credit conditions:
- active attendance in practices
- sufficient or better of written exam
- admission of semester assignment.
Examination (written form) consists of two parts:
- a practical part – tasks from the covered topics. Total 0 to 80 points (with own summary of formulas)
- a theoretical part - 4 tasks related to basic notions, (their properties, sense and practical use); each theoretical question 0 to 5 points.
Evaluation: each task 0 to 20 points evaluation according to the total number of points from practical and theoretical part: excellent (90 - 100 points), very good (80 - 89 points), good (70 - 79 points), satisfactory (60 - 69 points), sufficient (50 - 59 points), failed (0 - 49 points).
Attendance at seminars is controlled and the teacher decides on the compensation for absences.
Aims
Students obtain the needed knowledge of the probability theory, descriptive statistics and mathematical statistics, which will enable them to understand and apply stochastic models of technical phenomena based upon these methods.
Study aids
Prerequisites and corequisites
Basic literature
Hahn, G. J. - Shapiro, S. S.: Statistical Models in Engineering.New York : John Wiley & Sons, 1994.
Montgomery, D. C. - Renger, G.: Applied Statistics and Probability for Engineers. New York : John Wiley & Sons, 2017.
Recommended reading
Karpíšek, Z.: Matematika IV. Pravděpodobnost a statistika. Učební text FSI VUT v Brně. Akademické nakladatelství CERM: Brno, 2003.
Meloun, M. - Militký, J.: Statistické zpracování experimentálních dat. Praha : Plus, 1994.
Elearning
Classification of course in study plans
- Programme B-FIN-P Bachelor's 2 year of study, summer semester, compulsory
- Programme B-MET-P Bachelor's 2 year of study, summer semester, compulsory
- Programme B-ZSI-P Bachelor's
specialization STI , 2 year of study, summer semester, compulsory
specialization MTI , 2 year of study, summer semester, compulsory - Programme N-PMO-P Master's 1 year of study, summer semester, compulsory-optional
- Programme C-AKR-P Lifelong learning
specialization CLS , 1 year of study, summer semester, elective
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
Exercise
Teacher / Lecturer
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Computer-assisted exercise
Teacher / Lecturer
Syllabus
Elearning