Faculty of Technical Sciences

Subject: Random sets (17.D0M52L)

Native organizations units: No data
General information:
 
Category Professional-applicative
Scientific or art field Teorijska i primenjena matematika
Interdisciplinary Yes
ECTS 10
Educational goal:

The objective of the course is to offer an overview and fundamental understanding of basic notions of random sets theory. Special attention is paid to the random closed sets theory and its application to modeling of various phenomena encountered in engineering sciences.

Educational outcome:

The students can use the acquired knowledge in engineering subjects and in practice, to develop and solve mathematical models using the knowledge of random sets theory.

Course content:

The course content includes the following topics. 1) Random sets (definition and examples) 2) Distribution of random set 3) Transformations of random sets 4) Selectors 5) Numerical characteristics of random sets

Teaching methods:

Lectures. Consultations. The lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. In addition to lectures there are regular consultations. A students writes a seminar paper on one of the above mentioned topics and gives an oral presentation related to it. Through study and research work a student works independently on getting deeper understanding of the subject matter through study of the scientific journals and other relevant literature. Working with the course teacher, the students are prepared for independent work on writing a scientific paper.

Literature:
Authors Title Year Publisher Language
I. Molchanov Theory of Random Sets 2005 Springer English
Nguyen, H.T. An Introduction to Random Sets 2006 Chapman and Hall, Boca Raton English
Knowledge evaluation:
Course activity Pre-examination Obligations Number of points
Term paper Yes Yes 30.00
Written part of the exam - tasks and theory No Yes 70.00
Lecturers:
API Image

prof. dr Medić Slavica

Full Professor

Study research work
API Image

prof. dr Medić Slavica

Full Professor

Lectures
API Image

doc. dr Duraković Nataša

Assistant Professor

Study research work

prof. dr Grbić Tatjana

Full Professor

Study research work
API Image

doc. dr Duraković Nataša

Assistant Professor

Lectures

prof. dr Grbić Tatjana

Full Professor

Lectures

Faculty of Technical Sciences

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Contact:

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(+381) 21 6350 413

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© 2024. Faculty of Technical Sciences.