Probability Calculus II
General data
Course ID:  0600MS13RP2  Erasmus code / ISCED:  11.103 / (0541) Mathematics 
Course title:  Probability Calculus II  Name in Polish:  Rachunek prawdopodobieństwa II 
Department:  (in Polish) Zakład Analizy  
Course groups: 
(in Polish) 3 rok 1 stopnia sem. letni Matematyka spec. Teoretyczna (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" (past)
Time span:  20171001  20180630 
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 
Classes in period "Academic year 2018/2019" (in progress)
Time span:  20181001  20190630 
see course schedule 
Type of class: 
Class, 30 hours more information Lecture, 30 hours more information 

Coordinators:  Urszula Ostaszewska  
Group instructors:  Urszula Ostaszewska  
Students list:  (inaccessible to you)  
Examination:  Examination 
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