| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| AKZM5307 | Current Problems of Algebra | Бірінші курс | 5 | 150 | 1 | 2 |
The purpose of the course: Introduce the General concepts of algebraic structure, substructure, homomorphism and isomorphism. In the course of studying the course, undergraduates are formed: skills for solving algebra problems; Work in a team, argumentatively defend the correctness of choosing a solution to the problem; - Critically evaluate their activities, the activities of the team, and be able to self-education and self-development. Studies new mathematical methods for solving algebra problems. Develops constructive methods of algebra.
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 | Creates constructive methods for solving boundary value problems of integro-differential equations; |
| 2 | Studies new mathematical methods for solving extreme problems and boundary value problems for nonlinear differential equations and mathematical physics; |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Binary trick Binary trick definition The neutral (neutral) and inverse element are concepts.Features | презентация |
| 2 | Algebraic systems. In the set of T a definite trick Isomorphism | Ауызша және жазбашапрезентация |
| 3 | Defining a group Additive and multiplicative groups | презентация |
| 4 | Abel's Group Group Properties | Жазбашапрезентация |
| 5 | Definition of the ring. Zero divisors | |
| 6 | Field definition. Field properties. Examples of fields. | презентация |
| 7 | The inner ring and the inner field. Definition of the inner ring. Definition of the underground. | презентация |
| 8 | A ring with a single element. Multiples of elements and degrees of an element. | Жазбаша |
| 9 | Transformations and images | презентация |
| 10 | Homomorphism of groups. Homomorphism of rings. | Ауызша және жазбашапрезентация |
| 11 | Areas that are uniquely classified into multipliers. | Жазбашапрезентация |
| 12 | Euclidean regions Definition of the Euclidean zone. Properties of the Euclidean zone | презентация |
| 13 | The polynomial ring The coefficients of the polynomial and the coefficient of the head. | Жазбашапрезентация |
| 14 | Polynomials (polynomials) with one variable | презентация |
| 15 | The division field and the complete division ring. The division ring with respect to multiplicative systems. | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 |
|---|
| 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 |