| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| ST 3292 | Fundamentals of Number Theory | Үшінші курс | 5 | 150 | 1 | 2 |
The subject explains to students that mathematics is a field that studies the properties of integer, rational and algebraic numbers. The divisibility of integers is studied, separate types of integers are distinguished, the structure of complex numbers is considered. Students learn systematic divisibility theory for finding the greatest common divisor of two integers based on Euclid's algorithm.
Group work, method of problem work, method of mini-research, method of improving professional skills.
| 1 | Uses the rules, laws and methods of mathematics to solve problems of different areas of mathematics (ОН5); |
| 2 | Uses the theoretical knowledge acquired in basic mathematics in describing processes and phenomena in various fields of mathematics (ОН6); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 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. | Жазбаша |
| 4 | Chain fractions, classification of a number into a chain fraction. Decent details. Limit chain parts | Жазбаша |
| 5 | Numerical functions. The number and sum of the natural divisors of a number. | презентация |
| 6 | Comparisons, properties in a ring of integers. Class of residues by module. A complete and detailed system of modules | Жазбаша |
| 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. | Жазбаша |
| 9 | Methods for solving a system of first-degree comparisons of one unknown. | презентация |
| 10 | High-ranking comparisons of one unknown. | презентация |
| 11 | Second-degree comparisons | презентация |
| 12 | Lejandre and Jacobi symbols | презентация |
| 13 | Degree values and properties of indicators | презентация |
| 14 | Application of degree plates | Жазбаша |
| 15 | Solving undefined equations | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 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 |