Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Probability and Stochastic Processes (17.E224A)

Native organizations units: Department of Fundamentals Sciences, Chair of Mathematics

Type of studies	Title
Undergraduate Academic Studies	Information Engineering (Godina: 2, Summer)
Undergraduate Academic Studies	Computing and Control Engineering (Godina: 2, Summer)

General information:

Category	Professional-applicative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	5

Educational goal:

The course objective is training students on abstract thinking and acquiring basic knowledge in the field of probability and stochastic processes. The aim is for students to master the basic concepts of probability theory, to enable them to choose the appropriate methods and to interpret the obtained results. The main goal is to enable students to apply theoretical knowledge from the theory of random processes in the field of information engineering.

Educational outcome:

Student should use the acquired knowledge in further education. The student is qualified to make and solve mathematical models in the further education in professional subjects applying acquired knowledge from probability and stochastic processes.

Course content:

Basic definitions in probability, conditional probability and Bayes’ formula. Random variable of continuous and discrete type, distribution function. Two-dimensional random variable. Conditional distribution. Numerical properties – expectation, dispersion, covariance, correlation. Random processes – general terms. Markov chains and processes, the processes of birth and death, mass servicing systems.

Teaching methods:

Lectures; Numerical calculation practice. Consultations. Lectures are combined. In lectures, theoretical part of the course is taught followed by typical examples for better understanding. In practice, which accompanies lectures, typical problems are solved and knowledge from the lectures is deepened. Besides lectures and practice, consultations are held on a regular basis. Part of the course, presenting a logical whole, can be passed during the teaching process in the form of the following 3 modules (the first module: theory of probability, the second module: random variable, the third module: random processes). Oral part of the examination is optional.

Literature:

Authors	Title	Year	Publisher	Language
Grbić, T., Nedović, Lj.	Zbirka odabranih rešenih ispitnih zadataka iz verovatnoće, statistike i slučajnih procesa	2016	Fakultet tehničkih nauka, Novi Sad	Serbian language
Stojaković, M.	Slučajni procesi	2004	Fakultet tehničkih nauka, Novi Sad	Serbian language
Grbić, T., Nedović, Lj.	Zbirka rešenih ispitnih zadataka iz verovatnoće, statistike i slučajnih procesa	2001	Fakultet tehničkih nauka, Novi Sad	Serbian language