Probability Theory 360-MS2-1PRBa
Course profile: academic
Form of study: stationary
Course type: obligatory
Field of science: natural science; Academic discipline: Mathematics
Year: 2, semester: 3
Prerequisities: Mathematical Analysis III; Combinatorics
lecture 30 h. exercise class 30 h.
Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups.
ECTS credits: 6
Balance of student workload:
attending lectures15x2h = 30h
attending exercise classes 7x4h + 2h(preliminary teaching) = 30h
preparation for classes 7x3h = 21h
completing notes after exercises and lectures 7x2h = 14h
consultations 5x2h = 10h
the final examination: preparation.and take 15h + 4h = 19h
Quantitative description
Direct interaction with the teacher: 75 h., 3 ECTS
Practical exercises: 75 h., 3 ECTS
Type of course
Mode
Prerequisites (description)
Course coordinators
Learning outcomes
Has general knowledge of classical probabilistic problems, including the laws of large numbers and limit theorems for discrete random variables.KA6_WG03, KA6_WG07
Knows the concept and basic properties of probability.KA6_WG03, KA6_WG04, KA6_WG07, KA6_UW19
Knows basic probability calculation schemes, including Bernoulli's scheme.KA6_WG03, KA6_WG04, KA6_WG07, KA6_UO01
Is able to give examples of discrete and continuous probability distributions and discuss selected random experiments and the mathematical models in which these distributions occur.KA6_WG03, KA6_WG04, KA6_WG07, KA6_WG02, KA6_UW20, KA6_UO01, KA6_KO01
Is able to determine the basic parameters of the distribution of a random variable with a discrete and continuous distribution. KA6_WG03, KA6_WG04, KA6_WG07, KA6_WG02, KA6_UW21, KA6_UO01, KA6_KO01
Is able to build a probabilistic model for a given random event and indicate the method of calculating the probability. KA6_WG03, KA6_WG04, KA6_WG07, KA6_WG02, KA6_UW19, KA6_UO01, KA6_KO01
Is able to use the basic schemes of probability calculus, including the total probability formula and Bayes' formula.KA6_WG03, KA6_WG04,KA6_WG02, KA6_UO01, KA6_KO01
Is able to describe discrete random phenomena in the world around him, with the appropriate use of language and probabilistic concepts. KA6_WG02, KA6_UW19, KA6_UO01, KA6_KO01
Knows the limitations of one's own knowledge and understands the need for further education in the field of probability theory. KA6_KK01, KA6_KO01
Assessment criteria
Examinations
Graded exercises
Additional information
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