*Conducted in terms:*2020Z, 2021Z

*Erasmus code:*11.1

*ISCED code:*0541

*ECTS credits:*5

*Language:*Polish

*Organized by:*Faculty of Mathematics, Informatics, and Mechanics

*Related to study programmes:*

# Probability theory 1000-712bRPR

- https://moodle.mimuw.edu.pl/course/view.php?id=717 (term 2020Z)

Content.

Probability theory: overview of discrete models of probability theory, Markov chains, the simplest continuous distributions, the law of large numbers and the central limit theorem, elements of information theory.

Learning outcomes, skills and competences.

The students are acquainted with basic methods ot the probability theory, allowing for practical applications in their further education.

Term 2020Z:
None |

## Type of course

## Course coordinators

## Learning outcomes

The student has knowledge of basic methods of the probability theory, in particular:

1. They know basic discrete and continuous models of probability theory.

2. They know fundamental probability distributions and their properties.

3. They know basic limit theorems (Poisson theorem, central limit theorem) and they are able to apply them in practical problems to determine the probabilities of events.

4. They know and understand the notion of a Markov chain.

## Assessment criteria

written exam

## Bibliography

Rachunek Prawdopodobieństwa dla (Prawie) Każdego - Jakubowski Jacek, Sztencel Rafał, SCRIPT Wydawnictwo, 2006 [in Polish]

Term 2020Z:
None |

## Notes

Term 2020Z:
None |

## Additional information

Information on *level* of this course, *year of study* and semester when the course
unit is delivered, types and amount of *class hours* - can be found in course structure
diagrams of apropriate study programmes. This course is related to
the following study programmes:

Additional information (*registration* calendar, class conductors,
*localization and schedules* of classes), might be available in the USOSweb system: