| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| AKTR5216 | Additional Algebra Chapters | Бірінші курс | 5 | 150 | 1 | 2 |
The purpose of the discipline is to teach undergraduates with the basic concept of linear space, linear dependencies, size, basis and kernel of linear space, Euclidean space, linear transformations. In the course of studying the discipline, undergraduates, as developing knowledge in the field of teaching mathematics, demonstrate subject knowledge and methods for solving high-order equations, using the method of mathematical induction, form skills for analyzing research results in this field, learn to identify and justify the main types of scientific research.
Brainstorming, case study, developmental learning method, poster protection, creative learning methods, narrative, exchange of views, discussion, project work method, professional development method, problem-based learning.
| 1 | PON6- Uses in-depth knowledge of mathematical, pedagogical and psychological laws of teaching mathematics and the features of their methodological system in secondary school; |
| 2 | PON9- demonstrates deep theoretical knowledge in the field of modern algebra and geometry and analyzes the results of research in this field. |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Binary trick Binary trick definition The neutral (neutral) and inverse element are concepts.Features. | Ауызша және жазбаша |
| 2 | Algebraic systems. In the set of T a definite trick Isomorphism. | Ауызша және жазбаша |
| 3 | Defining a group Additive and multiplicative groups. | Ауызша және жазбаша |
| 4 | Abel's Group Group Properties. | Ауызша және жазбаша |
| 5 | Definition of the ring. Zero divisors. | Ауызша және жазбаша |
| 6 | Field definition. Field properties. Examples of fields. | Ауызша және жазбаша |
| 7 | The inner ring and the inner field. Definition of the inner ring. Definition of the underground. | Ауызша және жазбаша |
| 8 | A ring with a single element. Multiples of elements and degrees of an element. | Ауызша және жазбаша |
| 9 | Transformations and images. | Ауызша және жазбаша |
| 10 | Homomorphism of groups. Homomorphism of rings. | Ауызша және жазбаша |
| 11 | Areas that are uniquely classified into multipliers. | Ауызша және жазбаша |
| 12 | Euclidean regions Definition of the Euclidean zone. Properties of the Euclidean zone. | Ауызша және жазбаша |
| 13 | The polynomial ring The coefficients of the polynomial and the coefficient of the head. | |
| 14 | Polynomials (polynomials) with one variable. | Ауызша және жазбаша |
| 15 | The division field and the complete division ring. The division ring with respect to multiplicative systems.. | Ауызша және жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Pıter Dj.Kameron. Algebraǵa kırispe. Almaty, 2013. | |
| 2 | Red.Iý. M. Smırnova. Analıtıkalyq geometrıa jáne syzyqtyq algebra boıynsha esepter jınaǵy. Oqý quraly. - Máskeý, 2016j. | |
| 3 | M. A. Sultanov, Ǵ.B. Baqanov, A. S. Berdyshev. Algebra jáne geometrıadanesepter Shyǵys. / Oqý quraly. Shymkent 2020j. | |
| 4 | E. M. Karchevskıı, M. M. Karchevskıı. Syzyqtyq algebra jáne Analıtıkalyq geometrıa boıynsha dárister. Oqýlyq.– Sankt-Peterbýrg: Lan, 2018 j. | |
| 5 | B .h. Týrmetov , B. T. Tórebek Maple úısin matematıka pánderi esepterin sheshýde qoldan. –Túrkistan: Turan, 2012 |