OS2VS - Probability and Statistics

Course specification
Course title		Probability and Statistics
Acronym		OS2VS
Study programme		Electrical Engineering and Computing
Module		Signals and Systems
Type of study		bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB		6.0	Status	elective
Condition		Passed exams in Mathematics 1 and Mathematics 2
The goal		- Understanding applications of methods of Probability and Statistics in solving problems from real world, in particular in Automatic Control science. - Enabling students to solve various real world problems, applying the metods of Probability and Statistics, determining the correct mathematical model, and performing related parameter estimation and testing hypotheses
The outcome		A student will be familiar with basic and moderately complex discrete and continuous stochastic models in the field of sygnals and systems. He/she will be able to apply correct models in real life problems, and to apply tools and methods of statistics and probability.
Contents
Contents of lectures		Introduction and combinatorics. Conditional probability. Random variables. Numerical characteristics. Random vectors. Characteristic functions. Limit theorems. Parameter estimation. Hypotheses testing. Conditional distributions. Linear regression. Monte Carlo methods.
Contents of exercises		Exercises with example and problem solving.
Literature
Milan Merkle: Probability and Statistics for engineers and students of engineering, Academic Mind, Belgrade 2010
Number of hours per week during the semester/trimester/year
Lectures	Exercises	OTC	Study and Research	Other classes
2	2	1
Methods of teaching		30 hours of theoretical lecturing, 30 hours of exercises, 15 hours of discussion related to homework.
Knowledge score (maximum points 100)
Pre obligations		Points	Final exam	Points
Activites during lectures		0	Test paper	50
Practical lessons		0	Oral examination	0
Projects		0
Colloquia		30
Seminars		20