Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics 4 (17.MR0MA4)

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

General information:

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

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

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.

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.

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.