HHI211 - Elements of Probability and Statistics

Course specification
Course titleElements of Probability and Statistics
AcronymHHI211
Study programme
Module
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
ESPB4.0Status
ConditionCredits from courses equivalent to Mathematics I and Mathematics IIОблик условљености
The goalThe goal of this course is to teach students basic concepts and theoroms from the following areas:Series, numerical and potential, Introduction to Probability Theory and Mathematical Statistics. ; ; ;
The outcomeThis course provides knowledge that can be applied to other natural science and technical-technological courses taught in the department. The course is intended to enable students to successfully apply the acquired mathematical knowledge in solving techical and technological problems, as well as in mathematical processing of experimental data. ; ;
Contents
Contents of lecturesSeries-numerical series- definition, properties, converging criteria, power series- definition, properties, the domain of convergence, converging criteria, expansion of functions into power series, Taylor’s and Maclaurin’s series. ; Probability – definition, characteristics, total probability theorem, Bayes’ theorem, random variable, the most important discrete and continuous probability distributions, numerical characteristics of distributions, the central limit theorem of the calculus of probabilities; ; Statistics – random sample, examples of the most important statistics, tabular and graphical representation of statistical data, point estimation of distribution parameters, methods of obtaining point estimations , confidence intervals for parameters of normal distribution , parametric hypothesis testing, chi-squarse tests, regression (linear, non-linear). ; ;
Contents of exercisesThe aim of the practices is to solve examples and tasks that illustrate various concepts presented in the theoretical lessions as well as their mutual relations. Moreover, the practices give an opportunity to exercise applying acquired theoretical knowledge to problems of natural and technical-technological sciences
Literature