Probability
General data
Course ID:  0600FS21PRB#a  Erasmus code / ISCED:  (unknown) / (unknown) 
Course title:  Probability  Name in Polish:  Probability 
Department:  Faculty of Mathematics and Informatics  
Course groups: 
(in Polish) 2L stac. II st. studia matematyki finansowej przedmioty obowiązkowe 

ECTS credit allocation (and other scores): 
5.00 view allocation of credits 

Language:  English  
Type of course:  obligatory courses 

Short description: 
Course objectives: By the end of the course the student should have developed the skills to:easy using of distributions of random variables; using the limit theorems, in particular in mathematical statistics. 

Full description: 
Course profile: academic Form of study: stationary Course type: obligatory Academic discipline: Mathematics, field of study in the arts and science: mathematics Year: 1, semester: 1 Prerequisities: none lecture 30 h. exercise class 30 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 5 Balance of student workload: attending lectures15x2h = 30h attending exercise classes 15x2h = 30h preparation for classes 7x3h = 21h completing notes after exercises and lectures 7x2h = 14h consultations 12x1h = 12h the final examination: preparation.and take 12h + 3h = 15h control works: repeating the material and preparation 3x4h = 12h Quantitative description Direct interaction with the teacher: 75 h., 3 ECTS Practical exercises: 77 h., 3 ECTS 

Bibliography: 
1. Y. S. Chow, H. Teicher Probability Theory. Independence Interchangeability Martingales. Springer, 1978 2. B. V. Gnedenko, The theory of probability, Mir Publ., Moscow 1969. 3. O. Kallenberg, Foundations of modern probability, Springer, New York 1997. 4. M. Loeve, Probability theory vol. 1, 2, SpringerVerlag, New York 1978. 

Learning outcomes: 
Learning outcomes: Is able to use tools and methods of calculus, functional analysis and measure theory during work on probabilistic problems.K_U05, K_U07, K_U14 Knows the basic multivariate distributions and their properties.K_U11 Is able to present orally and in writing probabilistic methods at an advanced level.K_U13 Knows the limits of his or her knowledge and understands the need for further education in the field of probability theory.K_K01 Knows the concept of entropy as a measure of information.K_W11 

Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
Classes in period "Academic year 2018/2019" (future)
Time span:  20181001  20190630 
see course schedule 
Type of class: 
Class, 30 hours more information Lecture, 30 hours more information 

Coordinators:  Jarosław Kotowicz  
Group instructors:  (unknown)  
Students list:  (inaccessible to you)  
Examination:  Examination 
Copyright by University of Bialystok.