Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics 4 (17.MR0MA4)

Native organizations units: No data

Type of studies	Title
Undergraduate Academic Studies	Measurement-Information Technologies and Control Engineering (Godina: 3, Winter)

General information:

Category	Theoretical-methodological
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	6

Educational goal:

Ability of abstract thinking and acquiring basic knowledge in the area of probability, statistics and stochastic processes.

Educational outcome:

In their further education and professional subjects students are competent to develop and solve mathematical models in the area of probability, statistics and stochastic processes.

Course content:

Probability: Basic definitions in probability, conditional probability and Bayes’ formula. Random variable of discrete and continuous type, distribution functions. Two dimensional random variable. Conditional distribution. Numeric characteristics – expectation, dispersion, covariance, correlation. Limit theorems. Stochastic processes: Basic definitions and l notions. Poisson processes, Gaussian processesl, Markov chains and processes, birth-death process, qeueing theory. Statistics – point estimate and interval estimate, parametric and nonparametric hypotheses and significance testing.

Teaching methods:

Lectures, Numerical calculation practice and computer practice (statistics). Consultations. Lectures are conducted combining theoretical part of the subject matter with characteristic examples which facilitate understanding. During practice classes, which accompany the lectures, some characteristic problem tasks are done and the presented material is discussed in more detail. In addition to the lecture and practice classes there are regular consultations. Parts of the course which form a logical unit can be taken during the course in the form of partial exams: probability theory, stochastic processes, statistics.

Literature:

Authors	Title	Year	Publisher	Language
Stojaković, M.	Slučajni procesi	200	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