| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| АІ 1283 | Аlgebra 2 | Екінші курс | 5 | 150 | 1 | 2 |
The discipline allows students to form ideas about the algebraic structures of groups, rings, fields, vector spaces. Students master the use of algebraic structures in solving mathematical problems. In the process of studying the discipline, students develop skills in solving algebraic problems. Uses some elements of algebraic structures in solving applied problems of fundamental mathematics.
Team work, critical thinking, brainstorming,
The teacher of the subject can change the teaching methods, forms, type of supervision and amount of time of introduction of specialized adaptation subjects (modules) for students with disabilities in cooperation with structural departments.
| 1 | Uses the rules, laws and methods of mathematics to solve problems in various areas of mathematics (LO 5); |
| 2 | Использует классические методы математики при решении фундаментальных и прикладных задач. |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Polynomials and operations on them. | презентация |
| 2 | Dividers. The greatest common denominator. Euclidean algorithm. | презентация |
| 3 | Roots of polynomials. Horner scheme. | Жазбаша |
| 4 | The Fundamental Theorem of Algebra and its Consequences. | презентация |
| 5 | Canonicalization of the quadratic form. | Жазбаша |
| 6 | The law of inertia. | презентация |
| 7 | Positively defined forms. | Жазбаша |
| 8 | Methods of solving equations of the third and fourth degree | Жазбаша |
| 9 | Methods of determining the boundary and number of real roots of a polynomial. | презентация |
| 10 | Simple problems that can be reduced to parabolic equations. Filing of margin report. Fundamental solution of heat conduction equation. | презентация |
| 11 | Solving the Cauchy problem for the heat conduction equation. Poisson formula. Theorems about the stability and estimation of the solution of the Cauchy problem | Жазбаша |
| 12 | Method of separation of variables. Uniform marginal calculus. | презентация |
| 13 | Concept of Euclidean space. | презентация |
| 14 | Orthogonal matrices. Orthogonal transformation. | |
| 15 | Symmetric transformation. |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Doğrusal cebir ve analitik geometri / B.T.Sarsenov, J.S.Yerkisheva. - Türkistan, 2016. | |
| 2 | Yüksek Matematik: Grafik Cebirin Unsurları. Determinantlar ve matrisler. Eğitimsel ve metodolojik araç. K. A. Yesevi Uluslararası Kazak-Türk Üniversitesi, 2014. / Kolekeev K.D., Nurullaev A. N., Marasulov A., Kuatbekov B.N., Muzdybekova S. T. | |
| 3 | Cebir ve geometri problemlerini çözmek. Eğitim aracı. M.A. Sultanov, G.B. Bakanov, A.S. Berdyshev. - Çimkent: Alem, 2020. | |
| 4 | Doğrusal cebir ve analitik geometri üzerine dersler / E.M. Karchevsky, M.M. Karchevsky - Moskova, 2018 | |
| 5 | Kostrikin A.I. Cebire Giriş, M.N.: 2004; | |
| 6 | Proskuryakov I.V. Lineer cebirde problemlerin toplanması, M.N.: 2007; | |
| 7 | Sushkevich A.K. Yüksek Cebirin Temelleri, Gostekhizdat: 2001; | |
| 8 | Okunev L.Ya. Yüksek cebir, Aydınlanma: 2006; | |
| 9 | Lyapin E.S. Yüksek cebir kursu, Üçpedgiz: 2005; |