Faculty of Technical Sciences

Subject: Probability and mathematical statistics (17.BM105B)

Native organizations units: No data
General information:
 
Category Scientific-professional
Scientific or art field Teorijska i primenjena matematika
Interdisciplinary Yes
ECTS 4
Educational goal:

The course objective is training students on abstract thinking and acquiring basic knowledge in the field of probability and statistics. The aim is for students to master the basic concepts of probability theory, to enable them to choose the appropriate statistical methods, to perform statistical analysis and to interpret the obtained results.

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 statistics.

Course content:

Basic definitions in probability, conditional probability and Bayes’ formula. Random variable of discrete and continuous type. Two dimensional random variable. Conditional distribution. Numeric characteristics – expectation, dispersion, covariance, correlation. Conditional expectation. Limit theorems. Statistics –general notions. Descriptive statistic analysis (basic notions, data arrangement, table and graphic data presentation, data analysis using descriptive statistic methods, programme support for statistic analysis). Evaluation of unknown parameters (Dot evaluation: momentum method and maximal credibility method).Stochastic processes – general notions.

Teaching methods:

Lectures, Numerical calculation practice and computer practice . 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.

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
Mališić, J., Jevremović, V. Slučajni procesi i vremenske serije  2008 Građevinska knjiga, Beograd Serbian language
Grupa autora Zbirka rešenih zadataka iz verovatnoće i statistike 2014 Fakultet tehničkih nauka, Novi Sad Serbian language
Stojaković, M. Slučajni procesi 2000 Fakultet tehničkih nauka, Novi Sad Serbian language
Knowledge evaluation:
Course activity Pre-examination Obligations Number of points
Laboratory exercise defence Yes Yes 10.00
Oral part of the exam No Yes 10.00
Written part of the exam - tasks and theory No Yes 60.00
Test Yes Yes 10.00
Test Yes Yes 10.00
Lecturers:

Asistent Dragić Đorđe

Assistant - Master

Computational classes

Asistent Dragić Đorđe

Assistant - Master

Practical classes

prof. dr Grbić Tatjana

Full Professor

Lectures
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doc. dr Delić Marija

Assistant Professor

Computational classes

Faculty of Technical Sciences

© 2024. Faculty of Technical Sciences.

Contact:

Address: Trg Dositeja Obradovića 6, 21102 Novi Sad

Phone:  (+381) 21 450 810
(+381) 21 6350 413

Fax : (+381) 21 458 133
Emejl: ftndean@uns.ac.rs

© 2024. Faculty of Technical Sciences.