Вхід
Ternopil Ivan Puluj National Technical University
Каф. комп'ютерних наук
Теорія ймовірностей і математична статистика \\ Probability Theory and Mathematical Statistics
syllabus
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 University | http://library.tntu.edu.ua/personaliji/a/f/fryz-myhajlo-jevhenovych/ |
| Е-mail (in the domain tntu.edu.ua) | |
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 | https://dl.tntu.edu.ua/bounce.php?course=712 |
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
Моделювання систем
Теорія інформації та кодування
Обробка сигналів та зображень
Statistics
Теорія інформації та кодування
Обробка сигналів та зображень
Statistics
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
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 https://www.probabilitycourse.com, 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
2. Introduction to Probability Theory / Butsan G.P., Kyiv, Akademperiodyka, 2012
3. H. Pishro-Nik, "Introduction to probability, statistics, and random processes", available at https://www.probabilitycourse.com, 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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