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Probability Calculus I

General data

Course ID: 0600-MS1-3RP1 Erasmus code / ISCED: 11.103 / (unknown)
Course title: Probability Calculus I Name in Polish: Rachunek prawdopodobieństwa I
Department: (in Polish) Zakład Analizy
Course groups: (in Polish) 3 rok 1 stopnia sem. zimowy 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 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 2017/2018" (past)

Time span: 2017-10-01 - 2018-06-30
Choosen plan division:


magnify
see course schedule
Type of class: Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Bartosz Kwaśniewski
Group instructors: Bartosz Kwaśniewski
Students list: (inaccessible to you)
Examination: Examination

Classes in period "Academic year 2018/2019" (in progress)

Time span: 2018-10-01 - 2019-06-30
Choosen plan division:


magnify
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
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