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Probability Calculus II

General data

Course ID: 0600-MS1-3RP2 Erasmus code / ISCED: 11.103 / (0541) Mathematics
Course title: Probability Calculus II Name in Polish: Rachunek prawdopodobieństwa II
Department: (in Polish) Instytut Matematyki
Course groups: (in Polish) 3 rok 1 stopnia sem. letni Matematyka
(in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 4.00
view allocation of credits
Language: Polish
Type of course:

obligatory courses

Short description:

Course objectives: By the end of the course the student should use multivariate distributions and be able to apply the limit theorems.

Full description:

Course profile: academic

Form of study: stationary

Course type: facultative

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

Year: 3, semester: 6

Prerequisities: Probability Calculus I

lecture 30 h. exercise class 30 h.

Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups.

ECTS credits: 4

Balance of student workload:

attending lectures15x2h = 30h

attending exercise classes 7x4h + 2h(preliminary instructions) = 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: 74 h., 2 ECTS

Practical exercises: 75 h., 3 ECTS

Bibliography: (in Polish)

1. P. Billingsley, Prawdopodobieństwo i miara, PWN, Warszawa 2009.

2. J. Jakubowski, R. Sztencel, Wstęp do rachunku prawdopodobieństwa, Script, Warszawa 2004.

3. W. Feller, Wstęp do rachunku prawdopodobieństwa, PWN, Warszawa 1981.

Learning outcomes:

Learning outcomes:

Student has general knowledge about multidimensional random variables and their basic parameters.K_W04, K_W05

Student has the ability to analyze random experiments and perform simple statistical inference based on limits theorems and the laws of large numbers.K_W04

Student knows and understands the relationships between multivariate distribution and marginal distributions.K_W05

Student is able to determine the basic parameters of multidimensional random variables.K_U34, K_U35

Student is able to describe random phenomena in the surrounding world using probabilistic language and concepts.K_W03, K_W01

Student has the ability to independently expand knowledge in probability theory (he understands basic literature on the subject).K_U36

Assessment methods and assessment criteria:

The overall form of credit for the course: final exam

Classes in period "Academic year 2017/2018" (in progress)

Time span: 2017-10-01 - 2018-06-30
Choosen plan division:

see course schedule
Type of class: Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Krzysztof Zajkowski
Group instructors: Krzysztof Zajkowski
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
Copyright by University of Bialystok.