Probability Calculus I
General data
Course ID:  0600MS13RP1#a  Erasmus code / ISCED:  11.103 / (0541) Mathematics 
Course title:  Probability Calculus I  Name in Polish:  Probability Calculus I 
Department:  Faculty of Mathematics and Informatics  
Course groups: 
(in Polish) 3L stac. I st. studia matematyki  przedmioty obowiązkowe 

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

Language:  English  
Type of course:  obligatory courses 

Prerequisites:  Combinatorics 0600MS11KOM#a 

Short description: 
Course objectives: By the end of the course the student should understand fundamental concept of probability and be able to use probabilistic methods in practice. 

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: 3, semester: 5 Prerequisities: Mathematical Analysis III, Combinatorics 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 

Learning outcomes: 
Learning outcomes: Student has basic knowledge about problems of classical probability such that the low of large number and limit theorems.K_W04, K_W05 Student knows the concept of probability and its basic properties.K_W05, K_W12 Student knows basic probability schemes, including Bernoulli's scheme.K_W03, K_W05 Student is able to give examples of discrete and continuous probability distributions and discuss selected random experiments and mathematical models in which these distributions appear.K_U31, K_U33, K_W02, K_W05 Student is able to determine the basic parameters of the distribution of the random variable.K_U31, K_U33, K_W05 Student is able to build a probabilistic model for a given random event and choose method to calculate probability.K_U30, K_U31, K_U32, K_U33 Student is able to apply basic schemes of probability, including the formula for the total probability and the Bayes' formula.K_U30, K_U31, K_U32, K_U33, K_W05 Student is able to describe discrete random phenomena in the surrounding world using probabilistic language and concepts.K_W03, K_U30, K_W12 Student knows the limitations of his knowledge and understands the need of further learning in field of probability.K_K01 

Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
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:  Jarosław Kotowicz  
Group instructors:  (unknown)  
Students list:  (inaccessible to you)  
Examination:  Examination 
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