#### Faculty of Technical Sciences

Subject: Probability and Mathematical Statistics (06 - GI303B)

Basic Information

 Category Academic-general educative Scientific or art field: Mathematics Interdisciplinary No ECTS 4
Native organizations units

 Department of Fundamentals Sciences
Course specification

Course is active from 01.10.2007..

Precondition courses

Course idMandatoryMandatory
Mathematical Analysis 2YesNo
Mathematical Analysis 1YesNo
Enabling students in abstract thinking and acquiring basic knowledge in the field of probability and mathematical statistics. The objective is to develop a special form of thinking with students when researching mass phenomena in the field of civil engineering – hydraulics. Course character is applicative; hence the significance is on the knowledge that can explain the quantitative approach to problems in this field of studies. Also, students will be able to use a statistic programme. The objective is to enable students to be able to select adequate statistic methods, to elaborate a statistic analysis and to explain it with understanding. This knowledge is the foundation for better understanding of the professional literature and for successful improvements in their studies.
Acquired knowledge should be used by students in further education, and in professional courses, to create and solve mathematical models using the knowledge acquired in this course. Mastering theoretical knowledge in the field of probability and mathematical statistics learnt at this course, as well as mastering the skill of calculating and explaining the obtained statistic indicators.
Theoretical classes: Probability: Probability axioms. Conditional probabilities. Bayes` formula. Random variable of discrete and continual type. Random vector of discrete and continual type and common classification. Conditional divisions. Transformation of random variables. Mathematical expectations. Variance and standard deviation. Moments. Covariance, correlation coefficient. Conditional expectations. Laws on great numbers. Central limit theorems. Correlation and regression, linear regression. Sample distribution, mean value and dispersion. Statistics: basic notions. Population, sample. Statistics. 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. Interval evaluation). Parameter and non-parameter hypotheses and tests. Practical classes (practice): At practice, adequate examples from theoretical classes are presented in order to practice the course content and hence contribute to better understanding.
Lectures. Numerical /computing and computer practice. Consultations. Lectures are held in a combined manner. At lectures, theoretical part of the course content is presented, and supplemented by characteristic examples for easier understanding. At practice that follow the lectures, characteristic exercises are solved and the course content is explained in more detail. At computer practice, the obtained data processing is performed using a statistic programme. Apart from lectures and practice, consultations are held regularly. A part of the course content that makes a logical unit can be taken during the teaching process in the form of two modules (First module: Probability, second module: Statistics).
AuthorsNameYearPublisherLanguage
M. StojakovićMatematička statistika2000FTN (Edicija tehničke nauke – udžbenici) ,Novi SadSerbian language
M. Novković, B.Rodić, I.KovačevićZbirka rešenih zadataka iz verovatnoće i statistike2004FTN (Edicija tehničke nauke-udžbenici), Novi SadSerbian language
V.Jevremović, J.MališićStatističke metode u metorologiji i inženjerstvu2002Savezni hidrometorološki zavod, BeogradSerbian language
I.Kovačević, M. NovkovićVerovatnoća i matematička statistika, - skripta1999FTN, Novi SadSerbian language
Silvia Gilezan, Zorana Lužanin, Tatjana Grbić, Biljana Mihailović, Ljubo Nedović, Zoran Ovcin, Jelena Ivetić, Ksenija DoroslovačkiZbirka rešenih zadataka iz verovatnoće i statistike2009CMS, FTN, Novi SadSerbian language
T. Grbić, Lj. NedovićZbirka rešenih ispitnih zadataka iz verovatnoće, statistike i slučajnih procesa2001CMS, FTN, Novi SadSerbian language
Course activity Pre-examination ObligationsNumber of points
TestYesYes10.00
TestYesYes10.00
Exercise attendanceYesYes3.00
HomeworkYesYes5.00
Written part of the exam - tasks and theoryNoYes70.00
Lecture attendanceYesYes2.00
Name and surnameForm of classes

Lectures

Lectures

#### Čolić Oravec JelenaAssistant - Master

Practical classes

#### Arsić DunjaAssistant - Master

Practical classes