| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| SA 1285 | Linear Algebra | Бірінші курс | 5 | 150 | 1 | 2 |
The discipline introduces to the theory of Matrices and determinants, systems of linear equations and linear spaces. Students learn to solve systems of equations using the basic methods of linear algebra (Gauss method, Kramer's rule and inverse Matrix method). He is used to solving fundamental and Applied Problems of mathematics, using the methods and laws of linear algebra in solving problems of various branches of mathematics.
Teamwork, critical thinking, brainstorming.
| 1 | Solves fundamental and applied mathematical problems using basic methods and laws of mathematics (LO 9); |
| 2 | Builds mathematical models of processes and phenomena in solving applied practical problems (LO 10). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | General concept of linear equations. Determinants of order II and III. | Жазбаша |
| 2 | The Gaussian method for solving systems of linear equations. | Жазбаша |
| 3 | Replacement and placement. | Жазбаша |
| 4 | determinants of the nth order. Minors and algebraic complements. | Жазбаша |
| 5 | Kramer's method for solving a system of linear equations. | Жазбаша |
| 6 | n-dimensional vector space. Linear dependence of vectors. | Жазбаша |
| 7 | Rank of the Matrix. | Жазбаша |
| 8 | System of Homogeneous Linear Equations. | Жазбаша |
| 9 | A system of inhomogeneous linear equations. | Жазбаша |
| 10 | Operations applied to matrices (addition, subtraction, multiplication by a number, transponder, multiplication). | Жазбаша |
| 11 | Inverse Matrix. | Жазбаша |
| 12 | Access to matrices in solving systems of linear equations. | Жазбаша |
| 13 | Complex number system. | Жазбаша |
| 14 | Trigonometric form of complex numbers. | Жазбаша |
| 15 | Getting a root from complex numbers. |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | E. M. Karchevskıı, M. M. Karchevskıı. Syzyqtyq algebra jáne Analıtıkalyq geometrıa boıynsha dárister. Oqýlyq.– Sankt-Peterbýrg: Lan, 2018 j. | |
| 2 | B.t. Sársenov, j. S. Erkısheva Syzyqty algebra jáne analıtıkalyq geometrıa.Oqý quraly-Túrkistan, 2016j. | |
| 3 | Karchevskıı E. M., Karchevskıı m. m. geometrıa jáne algebra boıynsha dárister: oqý quraly. - Qazan: Qazan. | |
| 4 | Sársenov B. Syzyqty algebra jáne analıtıkalyq geometrıa, dárister jınaǵy, 2010. |