| Сабақтың коды | Курс аты | Сынып | Академиялық кредит | Cағат | Апталық сабақ сағаттары (лекция) | Апталық сабақ сағаттары (практика) | Апталық сабақ сағаттары (зертханалық) |
|---|---|---|---|---|---|---|---|
| IT4299 | Интегралдық түрлендірулер | төртінші курс | 5 | 150 | 1 | 2 |
The subject makes it possible to gradually understand the basic concepts and properties of integral transformations in solving problems of science and technology, economics and management using mathematical methods. Students learn to classify functions into Fourier series, calculate the spectral density for an absolutely integrable function, and find the spectral density for absolutely non-integrable functions. In making calculations, students use basic mathematical subjects and the basic laws and concepts of mathematics that require special thinking.
Group work, method of problem work, method of mini-research, method of improving professional skills.
| 1 | Uses theoretical knowledge acquired in basic mathematics in describing processes and phenomena in various fields of mathematics (ОН6); -Applies the obtained theoretical knowledge of fundamental mathematics when describing processes and phenomena in various areas of mathematics (РО6); Apply the theoretical knowledge gained in fundamental mathematics to the description of processes and phenomena in various fields of mathematics (LO6); |
| 2 | - Uses classical methods of mathematics in solving basic and applied problems. (OH7); - Uses classical mathematical methods when solving fundamental and applied problems. (PO 7); -Uses classical methods of mathematics in solving fundamental and applied problems. (LO 7); |
| 3 | - Uses mathematical modeling methods to solve basic and applied practical problems (ОН8); Uses methods of mathematical modeling to solve fundamental and applied practical problems (РО8); Uses methods of mathematical modeling to solve fundamental and applied practical problems (LO 8); |
| Haftalık Konu | Бағалау әдісі | |
|---|---|---|
| 1 | Divisibility of numbers, properties. Theorem on dividing numbers by the remainder. | презентация |
| 2 | Общий знаменатель чисел, ЕЦБ. Алгоритм Евклида. Общее кратное чисел, Еко. Взаимные простые числа. | презентация |
| 3 | Simple numbers. Infinity of a set of prime numbers. Classification of an integer into prime numbers and its singularity. | презентация |
| 4 | Chain fractions, classification of a number into a chain fraction. Decent details. Limit chain parts | презентация |
| 5 | Numerical functions. The number and sum of the natural divisors of a number. | Жазбаша |
| 6 | Comparisons, properties in a ring of integers. Class of residues by module. A complete and detailed system of modules. | презентация |
| 7 | Euler function. Euler and Fermat theorems. | презентация |
| 8 | First-degree comparisons of one unknown, a condition for the existence of their solution. Methods for solving first-degree comparisons of one unknown. | презентация |
| 9 | Methods for solving a system of first-degree comparisons of one unknown | Жазбаша |
| 10 | High-ranking comparisons of one unknown. | презентация |
| 11 | Second-degree comparisons | презентация |
| 12 | Lejandre and Jacobi symbols | презентация |
| 13 | Application of degree plates | |
| 14 | Solving undefined equations | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Оқулық / Материал / Ұсынылатын ресурстар | ||
|---|---|---|
| 1 | Sıtnıkov V. M. sandar teorıasy. Oqý quraly. Chelábınsk, 2014j. | |
| 2 | Sandar teorıasy. Oqý-ádistemelik qural. - Túrkistan, 2018j. | |
| 3 | Joǵary matematıka-1: Oqýlyq.-3 kitapta. 1-kitap. 7 bas.,óńd.,tolyqt. / E. J. Aıdos. - Almaty : Bastaý, 2016. - 328 s. | |
| 4 | Kórneki matematıkalyq taldaý. Oqý-ádistemelik qural. 2019j. Qanǵojın B.E |