Course: Probability and mathematical statistics I

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Course title Probability and mathematical statistics I
Course code UMB/737
Organizational form of instruction Lesson
Level of course Bachelor
Year of study not specified
Frequency of the course In each academic year, in the summer semester.
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Dostálková Iva, doc. RNDr. Ph.D.
Course content
Content of lectures: 1. Combinatorics 2. Discretete probability, 3. Axiomatic definition of probability, conditional probabilty. 4. Bayes Theorem, random variable. 5. Charakteristics of random variables. 6. Basis statistics. 7. chi^2 test 8. contingency tables 9. t-tests 10. ANOVA 11. nonparametric tests 12. linear regression 13. nonparametric regression

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Work with text (with textbook, with book)
  • Preparation for classes - 28 hours per semester
  • Preparation for credit - 28 hours per semester
  • Preparation for exam - 28 hours per semester
  • Class attendance - 28 hours per semester
Learning outcomes
Students master basic principles of probability and statistics
the basic statistical methods
Prerequisites
basic mathematics
UMB/CV010
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UMB/CV564
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UMB/010
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UMB/564

Assessment methods and criteria
Written examination, Interim evaluation

To complete the course it is necessary to pass the credit and pass the exam. To gain credit, sufficient attendance at the exercises and sufficient average success rate (55%) in short practice tests. Credit is a prerequisite for the exam test. The exam is written and is successful in reaching 55% of the test.
Recommended literature
  • Mrkvička T., Petrášková V. Úvod do statistiky, Jihočeská univerzita. 2006. ISBN 80-7040-894-4.
  • Petrášková V., Tlustý P. Úvod do počtu pravděpodobnosti. 2006. ISBN 978-80-7394-115-4.
  • V. Dupač, M. Hušková. Pravděpodobnost a matematická statistika. 2009. ISBN 9788024600093.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Summer
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Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics for future teachers (1) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics for future teachers (1) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Applied Mathematics (2010) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics for future teachers (1) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics for future teachers (1) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Informatics for future teachers (1) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Secondary Schools Teacher Training in Mathematics (2012) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Applied Informatics (1) Category: Informatics courses - Recommended year of study:-, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Chemistry (1) Category: Chemistry courses - Recommended year of study:-, Recommended semester: Summer