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Stochastic Processes

General data

Course ID: 0600-MS2-1PS Erasmus code / ISCED: 11.104 / (0541) Mathematics
Course title: Stochastic Processes Name in Polish: Procesy stochastyczne
Department: (in Polish) Zakład Dydaktyki i Nowoczesnych Technologii w Kształceniu
Course groups: (in Polish) 2L stac. II st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 5.00
view allocation of credits
Language: Polish
Type of course:

obligatory courses


Measure and Integral Theory 0600-MS2-1TMC

Short description:

Course objectives: By the end of the course the student should have developed the skills to: determine stopping times; making decomposition of supermartingales; calculate Ito integrals.

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: 2

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


1. P. Billingsley Probability and measure

2. I. Karatzas, S. E. Shreve Brownian Motion and Stochastic Calculus Springer 1991.

3. D. Revuz, M. Yor Continuous martingales and Brownian motion Springer 1999.

Learning outcomes:

Learning outcomes:

Know the major theorems and their proofs related to stochastic processes, stopping times, convergence of martingales, decomposition of supermartingales, the Wiener process, Ito integrals and local martingales.K_W03, K_U01, K_U11,K_U12

Be able to use of stochastic processes to model real-world phenomena.K_U18, K_W15

Obtains the basic skills to creative developing theory of stochastic processes.K_K01, K_K02, K_K07

Assessment methods and assessment criteria:

The overall form of credit for the course: final exam

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

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

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

obligatory courses

Course descriptions are protected by copyright.
Copyright by University of Bialystok.