| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| OTVMI 3302 | Probability theory and mathematical statistics | Үшінші курс | 6 | 180 | 15 | 45 |
The subject explains the basic concepts of probability theory to students. Students are introduced to the algebra of events and discrete and continuous random variables and their numerical characteristics, elements of the theory of random processes. Students learn the laws of probability space, large numbers, and limit theory. Learns to solve problems using the basic formulas of probability theory and mathematical statistics. Predicts various processes and phenomena using mathematical models built on the basis of statistical data
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 | -Uses the rules, laws and methods of mathematics to solve problems in various areas of mathematics (LO 5) |
| 2 | Uses theoretical and mathematical-statistical methods in the study of problems in various areas of mathematics; (LO10); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Probability definitions.Elements of combinatorics | презентация |
| 2 | The probability addition theorem | презентация |
| 3 | The probability multiplication theorem | Жазбаша |
| 4 | A consequence of the addition and multiplication theorems.The formula of total probability.Bayesian formulas | Жазбаша |
| 5 | Repetition of tests.Bernoulli, Poisson formulas, Laplace theorems | презентация |
| 6 | The probability of deviation of the relative frequency from the constant probability in independent experiments. The most probable number. | Жазбаша |
| 7 | Discrete random variables and their numerical characteristics. Theoretical points | презентация |
| 8 | Continuous random variables and their numerical characteristics. | Жазбаша |
| 9 | The law of large numbers. | презентация |
| 10 | Basic concepts of mathematical statistics. | Жазбаша |
| 11 | Estimation of the distribution parameters of the general population. | презентация |
| 12 | Elements of the theory of statistical hypothesis testing. | презентация |
| 13 | Correlation analysis. | Жазбаша |
| 14 | Analysis of variance. | Жазбаша |
| 15 | Markov chains and elements of random process theories. | презентация |
| 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. http:// rmebrk.kz | |
| 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 | |
| 6 | S. A. Joldasov, Yqtımaldyqtar teorıasy jáne matematıkalyq statısıka boıynsha esepter jınaǵy. Oqýlyq. Almaty: Evero-2023 | |
| 7 | E. D. Tileýkeev, 'Yqtımaldyqtar teorıasy jáne matematıkalyq statısıka' kýrsy boıynsha ádistemelik nusqaýlar, Túrkistan: Ahmet Esevı atyndaǵy Qazaq-Túrik ýnıversıteti.Turan Baspahanasy. 2017-101s. | |
| 8 | Tleýkeev E.D., Yqtımaldyqtar teorıasy jáne matematıkalyq statısıka, oqý quraly, Túrkistan,: Tagran baspahana.2018-214s. |