Ternopil Ivan Puluj National Technical University

Каф. комп'ютерних наук

Probability Theory and Mathematical Statistics


1. Educational programs for which discipline is mandatory:

# Educational stage Broad field Major Educational program Course(s) Semester(s)
1 bachelor's 12. Інформаційні технології 122. Комп’ютерні науки та інформаційні технології (бакалавр) 2 3
2 bachelor's 12. Інформаційні технології 123. Комп’ютерна інженерія (бакалавр) 2 3

2. The course is offered as elective for all levels of higher education and all educational programs.

3. Information about the author of the course

Full name Mykhailo Fryz
Academic degree PhD
Academic title Assoc. Prof.
Link to the teacher`s page on the official website of the department
Е-mail (in the domain

4. Information about the course

Study hours structure Lectures: 32
Practical classes: 32
Laboratory classes: 0

Amount of hours for individual work: 71
ECTS credits: 4,5
Teaching language english
Form of final examination credit
Link to an electronic course on the e-learning platform of the university

5. Program of discipline

The place of academic discipline in the structural and logical scheme of study according to the educational program

Prerequisites. List of disciplines, or knowledge and skills, possession of which students needed (training requirements) for successful discipline assimilation

Higher Mathematics, Discrete Mathematics

List of disciplines based on learning results from this discipline

Теорія інформації та кодування
Обробка сигналів та зображень
Моделювання систем

Contents of the academic discipline

Lectures (titles/topics)

Random Events
Probability of Random Events
Conditional Probability
Discrete Random Variables
Continuous Random Variables
Limit Theorems
Statistical Inference

Learning materials and resources

1. M. Fryz, B. Mlynko, N. Zagorodna. Fundamentals of Discrete Mathematics: Lecture Notes. - Ternopil: TNTU Press, 2011. – 60 p.
2. Introduction to Probability Theory / Butsan G.P., Kyiv, Akademperiodyka, 2012
3. H. Pishro-Nik, "Introduction to probability, statistics, and random processes", available at, Kappa Research LLC, 2014.
4. Michael Baron, "Probability and Statistics for Computer Scientists", Second Edition, Chapman and Hall/CRC, 2015
5. Dimitri P. Bertsekas and John N. Tsitsiklis, "Introduction to Probability", LECTURE NOTES, Massachusetts Institute of Technology, FALL 2000
6. Sheldon M. Ross, "Introduction to probability Models", Tenth Edition, Elsevier, 2010
7. Mike Le Van, "Probability and Statistics", McGraw-Hill, 2001
8. Douglas C. Montgomery and George C. Runger, "Applied Statistics and Probability for Engineers", 3rd ed., John Wiley & Sons, 2003
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