Course: Probability and mathematical statistics I

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Course title Probability and mathematical statistics I
Course code KMA/PMS1
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 2
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Petrášková Vladimíra, doc. RNDr. Ph.D.
  • Tlustý Pavel, prof. RNDr. CSc.
Course content
Topics: 1.- 2. Random experiment, random phenomenon, probability space, classical probability. 3.- 4. Independence of phenomena, conditional probability, total probability, Bayes formula 5.-6. Random variable of discrete type, examples of random variable of discrete type 7. -8. Random variable of continuous type, examples of random variable of continuous type 9. - 10. Characteristics of random variables 11. - 13. - Law of large numbers, central limit theorem

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
Learning outcomes
The aim of the course is to provide basic knowledge of probability theory.
The student will gain the basics of probability theory, on which he will be able to grasp the curriculum in the field of statistics.
Prerequisites
none

Assessment methods and criteria
Written examination, Student performance assessment

Active participation in seminars, successful test writing.
Recommended literature
  • Dupač, V., Hušková, M.:. Pravděpodobnost a matematická statistika, UK nakladatelství Karolinum, Praha, 1999.
  • Mrkvička T., Petrášková V.:. Úvod do statistiky, Jihočeská univerzita, České Budějovice, 2006.
  • Petrášková V., Tlustý P.:. Úvod do počtu pravděpodobnosti, Jihočeská univerzita, České Budějovice, 1992..


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Summer