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Probability Calculus I

General data

Course ID: 360-MS1-3RP1a
Erasmus code / ISCED: 11.102 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: Probability Calculus I
Name in Polish: Probability Calculus I
Organizational unit: Faculty of Mathematics
Course groups:
ECTS credit allocation (and other scores): 4.00 Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
Language: English
Type of course:

obligatory courses

Short description:

Assumptions and aims: After completing the course, the student should understand and be able to apply probabilistic methods.

Full description: (in Polish)

Academic discipline: science and natural science, field of study in the arts and science: mathematics

Bibliography:

1. D. Stirzaker - Prabability and Random variables. A beginner's Guide.

2. W. Feller - An Introduction to Probability Theory and Its Applications

3. G. Grimmet, D. Stirzaker - One Thousand Exercises in Probability.

Learning outcomes:

Student

- has general knowledge of classical probabilistic theory, including the laws of large numbers and limit theorems for discrete random variables.

- knows the concept and basic properties of probability.

- knows the basic schemes of probability calculus, including sequence of Bernoulli trials.

-can give examples of discrete and continuous probability distributions and discuss selected random experiments and mathematical models in which these distributions occur.

- knows how to apply basic probability calculus schemes, including the formula for total probability and the Bayesian formula.

- is able to describe discrete random phenomena in the world around him, along with the proper use of language and probabilistic concepts.

Assessment methods and assessment criteria:

exam

Classes in period "Academic year 2022/2023" (past)

Time span: 2022-10-01 - 2023-06-30
Selected timetable range:
Navigate to timetable
Type of class:
Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Tomasz Czyżycki, Urszula Ostaszewska, Aneta Sliżewska
Group instructors: Urszula Ostaszewska
Students list: (inaccessible to you)
Examination: Course - Examination
Class - Grading
Course descriptions are protected by copyright.
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