#### Faculty of Technical Sciences

Subject:  Theory of Probability and Statistics (17 - IM1012)

Basic Information

 Category Academic-general educative Scientific or art field: Teorijska i primenjena matematika Interdisciplinary yes ECTS 5
Native organizations units

 Department of Fundamentals Sciences Chair of Mathematics
Course specification

Course is active from 01.10.2013..

Enabling students for abstract thinking and acquisition of basic knowledge in the field of Probability and Mathematical Statistics. The course objective is to develop special way of thinking in students while studying massive phenomena in the field of environmental engineering. The course character is applicational and the importance is given to the knowledge which can explain quantitative approach to the issues from the field of study. Students are also able to use statistical programs. The objective is to enable students to choose adequate statistical methods, to do statistical analysis and to essentially elaborate it. This knowledge is the foundation for better understanding of the professional literature and for successful advancement in studies.
The student should use acquired knowledge in further education and in professional courses. He/she can make and solve mathematical models using the knowledge acquired in this course. Mastering theoretical knowledge in the field of probability and mathematical statistics studied in this course and skills of calculating and analyzing calculated statistical indicators.
Theoretical lectures: Probability: Axioms of probability. Conditional probability. Bayes formula. Random variable of discrete and continuous type. Random vector of discrete type and common distribution. Conditional distribution. Transformation of random variables. Mathematical expectation. The variance and standard deviation. Moments. Covariance, correlation coefficient. Conditional expectations. Large numbers law. Central limit and linear theorem. Correlation and linear regression. Sample distribution, the mean value and dispersion. Statistics: basic concepts. Population, sample. Statistics. Descriptive statistical analysis (basic concepts, data editing, table and graphic presentation of data, data analysis using methods of descriptive statistics, software support to statistical analysis). Assessment of unknown parameters (point assessment: The method of moments and maximum likelihood method. Interval rates). Parametric and nonparametric hypothesis and tests. Practical lecture (practice): During the lectures adequate examples from theoretical lectures are done, thus practicing the knowledge and contributing to the better understanding of the lectured knowledge.
Lectures: Numerical computing practice, computer practice. Consultations. Lectures are combined. During the lectures theoretical part of the course followed by characteristic examples are presented for better understanding of the lectured material. During the practice, which accompanies lectures, typical problems are solved and the knowledge from the lectures is deepened. During the computer practice processing of obtained data is done using the statistical software. Besides lectures and practice, consultations are held on a regular basis. A part of the course, which represents a logical whole, can be taken during the teaching process in the form of the next two modules (the first module: Probability; the second module: Statistics. In order to take the final examination, the student has to complete computer practice.
AuthorsNameYearPublisherLanguage
Stojaković, M.Matematička statistika2003Fakultet tehničkih nauka, Novi SadSerbian language
Ash R. B.Basic probability theory1970John Wiley & Sons, New YorkEnglish
Faber M. H.Statistics and Probability Theory2012Springer, DordrechtEnglish
Gilezan S. i dr.Zbirka rešenih zadataka iz verovatnoće i statistike2014Fakultet tehničkih nauka, Novi SadSerbian language
Course activity Pre-examination ObligationsNumber of points
TestYesYes20.00
Exercise attendanceYesYes5.00
Coloquium examNoNo20.00
Coloquium examNoNo20.00
Lecture attendanceYesYes5.00
Theoretical part of the examNoYes30.00
Practical part of the exam - tasksNoYes40.00
Name and surnameForm of classes #### Mihailović BiljanaFull Professor

Lectures #### Vuković ManojloAssistant - Master

Practical classes