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Course specification
Course title Practicum - Mathematics 4
Acronym IR2PM4
Study programme Electrical Engineering and Computing
Module Computer Engineering and Informatics
Type of study bachelor academic studies
Lecturer (for classes) prof. dr Milan Merkle
Lecturer/Associate (for practice) doc. dr Bojana Mihailović
Lecturer/Associate (for OTC) doc. dr Bojana Mihailović
ESPB 3 Status elective
Condition Passed courses in Mathematics 1 and Mathematics 2
The goal Introducing students to basic methods of probability theory in discrete and continuous models: combinatory problems, conditional probability, random variables and their numerical characteristics, laws of large numbers and central limit theorem, and basic ideas in Mathematical statistics.
The outcome A student will be able to apply methods of Probability and Statistics in solving some real life problems, to apply appropriate mathematical models. He/she will also able to estimate parameters and test hypotheses about parameters or about distributions.
Contents
Contents of lectures Fundamental concepts and applications of combinatorics. Conditional probability and independence of events. Random variables and their distributions. Numerical characteristics of random variables. Laws of Large Numbers and Central Limit Theorem. Estimation of parameters and tests of hypothesis.
Contents of exercises Students learn how to apply theorems and fundamental concepts from lectures, through examles, exercises and problems. Students are introduced to some mathematical softwares and they learn how to use them doing homeworks.
Literature
1M. Merkle: Verovatnoća i statistika za inženjere i studente tehnike, Akademska misao, Beograd 2010., Milan Merkle: Probability and statistics for engineers and engineering students, Akademska Misao, Belgrade 2010
Number of hours per week during the semester / trimester / year
Lectures Exercises OTC Study and Research Other classes
1 1 0.5
Methods of teaching Lectures, exercises with solving problems, discussions, help in doing homeworks.
Knowledge score (maximum points 100)
Pre obligations Points Final exam Points
Activities during lectures 0 Test paper 70
Practical lessons 0 Oral examination
Projects 0
Colloquia 30
Seminars 0