Cardinal Stefan Wyszynski University in Warsaw - Central Authentication System

Probability Theory I

General data

Course ID:	WM-MA-RP1
Erasmus code / ISCED:	(unknown) / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Probability Theory I
Name in Polish:	Rachunek prawdopodobieństwa I
Organizational unit:	Faculty of Mathematics and Natural Sciences. School of Exact Sciences.
Course groups:	(in Polish) MATEMATYKA I stopnia - rozkład zajęć: II rok
ECTS credit allocation (and other scores):	6.00 OR 5.00 (differs over time) 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:	Polish
(in Polish) Dyscyplina naukowa, do której odnoszą się efekty uczenia się:	mathematics
Learning outcome code/codes:	(in Polish) MA1_U30, MA1_U31, MA1_U32, MA1_U33
Preliminary Requirements:	(in Polish) Aaliza 1 analiza 2.
Full description:	(in Polish) Cele przedmiotu: Zapoznanie z matematycznymi metodami opisu zjawisk losowych., wiedzy o zmiennych losowych dyskretnych i ciągłych. Zastosowania twierdzeń granicznych.
Bibliography:	1.J. Jakubowski, R.Sztencel ?Wstęp do teorii prawdopodobieństwa? SCRIPT, 2000; 2.P. Billingsley ?Prawdopodobieństwo i miara? PWN, 1987 3. W. Feler ?Wstęp do rachunku prawdopodobieństwa? PWN ,1987
Efekty kształcenia i opis ECTS:	(in Polish) Wo6 posiada niezbędną wiedzę z zakresu studiowanej specjalnośc W03 dysponuje zaawansowaną wiedzą o wybranych pojęciach, twierdzeniach i konstrukcjach z zakresu analizy, algebry, geometrii i probabilistyki niezbędnych do modelowania problemów praktycznych U01 potrafi wykorzystać posiadaną wiedzę; w sposób zrozumiały, w mowie i piśmie, przedstawiać poprawne rozumowania matematyczne, formułować twierdzenia i definicje oraz rozwiązywać złożone i nietypowe problemy
Assessment methods and assessment criteria:	(in Polish) Kolokwia i egzamin pisemne. 50% dost. 60% dost+ 70% dobry 80% dobry + 90 % b.dobry
Practical placement:	(in Polish) brak

Classes in period "Winter semester 2021/22" (past)

Time span:	2021-10-01 - 2022-01-31	Selected timetable range: weekly course term Navigate to timetable MO TU W TH FR WYK CW CW
Type of class:	Classes, 30 hours more information Lectures, 30 hours more information
Coordinators:	Leszek Sidz
Group instructors:	Leszek Sidz
Students list:	(inaccessible to you)
Examination:	Course - examination Classes - graded credit Lectures - examination
(in Polish) E-Learning:	(in Polish) E-Learning (pełny kurs) z podziałem na grupy
Type of subject:	obligatory
(in Polish) Grupa przedmiotów ogólnouczenianych:	(in Polish) nie dotyczy

Classes in period "Winter semester 2023/24" (past)

Time span:	2023-10-01 - 2024-01-31	Selected timetable range: weekly course term Navigate to timetable MO CW2 WYK2 CW2 TU W TH FR
Type of class:	Classes, 30 hours more information Lectures, 30 hours more information
Coordinators:	Leszek Sidz
Group instructors:	Leszek Sidz
Students list:	(inaccessible to you)
Examination:	examination
(in Polish) E-Learning:	(in Polish) E-Learning
Type of subject:	obligatory
(in Polish) Grupa przedmiotów ogólnouczenianych:	(in Polish) nie dotyczy

Classes in period "Winter semester 2024/25" (future)

Time span:	2024-10-01 - 2025-01-31	Selected timetable range: weekly course term Navigate to timetable
Type of class:	Classes, 30 hours more information Lectures, 30 hours more information
Coordinators:	(unknown)
Group instructors:	(unknown)
Students list:	(inaccessible to you)
Examination:	examination
(in Polish) E-Learning:	(in Polish) E-Learning
Type of subject:	obligatory
(in Polish) Grupa przedmiotów ogólnouczenianych:	(in Polish) nie dotyczy

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Copyright by Cardinal Stefan Wyszynski University in Warsaw.