Probability Theory

General data

Course ID:	WM-MA-RPR
Erasmus code / ISCED:	(unknown) / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Probability Theory
Name in Polish:	Rachunek prawdopodobieństwa
Organizational unit:	Faculty of Mathematics and Natural Sciences. School of Exact Sciences.
Course groups:
ECTS credit allocation (and other scores):	(not available) 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
Subject level:	elementary
Learning outcome code/codes:	enter learning outcome code/codes
Short description:	1. Probabilistic space. 2. Classic and geometric probability 3. Conditional probability, Bayes formula. 4. Independent events. 5. Distributions and densities, expected value. 6. Multidimensional Random Variables. 7. Multidimensional Normal Distribution. 8. Independent random variables, 9. Conditional Distributions. 10. Convergence of Random Variable. 11. Central Limit theorems. Characteristic functions.
Full description:	1. Probabilistic space. 2. Classic and geometric probability 3. Conditional probability, Bayes formula. 4. Independent events. 5. Distributions and densities, expected value. 6. Multidimensional Random Variables. 7. Multidimensional Normal Distribution. 8. Independent random variables, 9. Conditional Distributions. 10. Convergence of Random Variable. 11. Central Limit theorems. Characteristic functions.
Bibliography:	(in Polish) 1. J.Jakubowski, R. Sztencel, Wstęp do rachunku prawdopodobieństwa. 2. W. Niemiro, Rachunek Prawdopodobieństwa i statystyka matematyczna. 3. Gesternkorn, Śródka, Kombinatoryka i Rachunek Prawdopodobieństwa.
Efekty kształcenia i opis ECTS:	K1_W01, K1_W02, K1_U30, K1_U31, K1_U32, K1_U33
Assessment methods and assessment criteria:	Dwa kolokwia po 20 pkt. Egzamin 60 pkt. Ocena na podstawie sumy punktów : 50-60 dst. 61-70 dst+' 71-80 dobry 81 - 90 dobry plus 91 - 100 bardzo dobry.
Practical placement:	(in Polish) brak

This course is not currently offered.

Course descriptions are protected by copyright.
Copyright by Cardinal Stefan Wyszynski University in Warsaw.