| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| OT 3291 | Probability theory | Үшінші курс | 5 | 150 | 15 | 30 |
The discipline explains the basic concepts of probability theory. Introduces students to the algebra of events and discrete and continuous random variables and their quantitative characteristics, elements of the theory of random processes. Students master the laws of probability space, large numbers and limit theories. Learns to solve problems using the basic formulas of probability theory.
Presentation, exchange of views, discussion, problematic questions, situational questions.
For students with disabilities, together with structural divisions, the teaching methods, forms, type of control and amount of time for the implementation of specialized adaptive disciplines (modules) can be changed by the subject teacher.
| 1 | Solves fundamental and applied mathematical problems using basic methods and laws of mathematics (LO 9); |
| 2 | Builds mathematical models of processes and phenomena in solving applied practical problems (LO 10); |
| 3 | Uses theoretical and mathematical-statistical methods in the study of problems in various areas of mathematics (LO 11). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Events. Actions on events probability theory. | Ауызша және жазбаша |
| 2 | Classical and statistical definition of probability. Geometric definition of probability. | Ауызша және жазбаша |
| 3 | Combinatorics of the element. | Ауызша және жазбаша |
| 4 | Probability Addition Theorem. | Ауызша және жазбаша |
| 5 | Probability Multiplication Theorem. | Ауызша және жазбаша |
| 6 | The result of the addition and multiplication theorems.The total probability formula. Beyes formulas. | Ауызша және жазбаша |
| 7 | Repetition of experiments. The Bernulli formula. | Ауызша және жазбаша |
| 8 | The Muavr-Laplace Limit Theorems.Poisson's Theorem. | Ауызша және жазбаша |
| 9 | Random variables and the law of their distribution. | Ауызша және жазбаша |
| 10 | Numerical definitions of a discrete random variable. | Ауызша және жазбаша |
| 11 | The distribution function of a random variable. | Ауызша және жазбаша |
| 12 | The density of the probability distribution. | Ауызша және жазбаша |
| 13 | Numerical definitions of continuous random variable. | Ауызша және жазбаша |
| 14 | The law of normal distribution. | Ауызша және жазбаша |
| 15 | The law of large numbers. | Ауызша және жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Tokbergenov J. B., Yqtımaldyqtar teorıasy jáne matematıkalyq statısıka.Oqý quraly-Almaty: ATÝ, 2016. - 159 b. | |
| 2 | E. D. Tileýkeev, Yqtımaldyqtar teorıasynyń mindetterin sheshý, oqý quraly, Túrkistan: Ahmet Esevı atyndaǵy Qazaq-Túrik ýnıversıteti.Turan Baspahanasy. 2020, -152 bet. | |
| 3 | Qoshanova M.d., Nazarova K. j., Tileýkeev E. D. Yqtımaldyqtar teorıasy jáne matematıkalyq statısıka elementteri boıynsha jeke tapsyrmalar jınaǵy, Túrkistan: Ahmet Esevı atyndaǵy Qazaq-Túrik ýnıversıteti.Turan Baspahanasy. 2020 -164 bet. | |
| 4 | Aqanbaı N., Yqtımaldyqtar men jattyǵýlar teorıasy boıynsha esepter jınaǵy.Oqýlyq.Ol ony almady. 'Qazaq ýnıversıteti' 2020. | |
| 5 | Aqanbaı N. Yqtımaldyqtar teorıasy jáne matematıkalyq statısıka: 1 bólim. Oqýlyq.2019. |