Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Random sets (17.D0M52L)

Type of studies	Title
Doctoral Academic Studies	Mathematics in Engineering (Year: 1, Semester: Summer)

General information:

Category	Professional-applicative
Scientific or art field	Teorijska i primenjena matematika
ECTS	10

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.

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.

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

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.