Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Probability and Statistics (17.IZOO64)

Type of studies	Title
Undergraduate Academic Studies	Information Systems Engineering (Year: 2, Semester: Summer)

General information:

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

Training students in abstract thinking and basic knowledge in Probability and Mathematics Statistics. Students should be able to understand and apply statistical methods on large data, particularly in informatics. Importance is in practical knowledge on quantitative approach to problems, so a statistical software is used. Aim is to train students in choosing a statistical method, making statistical analysis and presenting it in best possible way.

Student is competent to design and solve mathematical models in the field of probability and statistics in further education and professional courses.

Basic definitions in probability, conditional probability and Bayes’ formula. Random variable of discrete and continuous type, distribution functions. Two dimensional random variable. Numerical characteristics – expectation, dispersion, covariance, correlation. Limit theorems. Population, sample. Sampling techniques. Descriptive statistics, point estimate and interval estimate. Parametric and nonparametric hypotheses and significance testing. Statistical inference. Regression analysis, linear, nonlinear and logistic regression. Statistical data visualization, graphing data. Statistical models in Computer Science. Statistical package.

Lectures; Numerical computing practice. Consultations. In lectures, theoretical part of the course is followed by typical examples for better understanding. In practice, which accompanies lectures, typical problems are solved and knowledge from the lectures is deepened. Besides lectures and practice, consultations are held on a regular basis. Part of the course, presenting a logical whole, can be passed during the teaching process in the form of the following 2 modules (the first module: probability, the second module: statistics). The oral part of the examination is obligatory.

Authors	Title	Year	Publisher	Language
W. N. Venables, D. M. Smith and the R Core Team	An Introduction to R	2017	R Core Team	English
Chihara L., Hesterberg T.	Mathematical Statistics with Resampling and R	2011	John Wiley & Sons, Ltd.	English

Course activity	Pre-examination	Obligations	Number of points
Computer excersise defence	Yes	Yes	10.00
Oral part of the exam	No	Yes	20.00
Computer excersise defence	Yes	Yes	10.00
Test	Yes	Yes	10.00
Written part of the exam - tasks and theory	No	Yes	50.00