Probability Calculus I

General data

Course ID:	0600-MS1-3RP1#a
Erasmus code / ISCED:	11.103 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Probability Calculus I
Name in Polish:	Probability Calculus I
Organizational unit:	(in Polish) Instytut Matematyki.
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:	English
Type of course:	obligatory courses
Prerequisites:	Combinatorics 0600-MS1-1KOM#a Mathematical Analysis III 0600-MS1-2AM3#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
Bibliography:	1. David Stirzaker, Probability and Random Variables. A Beginner’s Guide, Cambridge University Press (Virtual Publishing) 2003 2. Geoffrey Grimmett, David Stirzaker, Probability and Random Processes, Oxford University Press Inc. New York 2001
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

This course is not currently offered.

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