| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| ZhDT 3288 | Simple differential equations II | Үшінші курс | 4 | 120 | 1 | 2 |
In the course of studying differential equations, students form an understanding of the methods of solving systems of linear differential equations and the theory of stability, and learn ways to solve them. In the scientific and applied direction of mathematics, students practice abstract thinking and self-proofing of individual statements by solving problems and exercises depicting theoretical positions.
Group work, method of problem work, method of mini-research, method of improving professional skills
| 1 | -Uses classical methods of mathematics in solving fundamental and applied problems. (LO 7); |
| 2 | Solves the problem, correctly setting the performances of classical problems of fundamental mathematics;(LO 9); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Theory of second-order linear differential equations | презентация |
| 2 | Vector-matrix calculations | презентация |
| 3 | General theory of the system of differential equations | презентация |
| 4 | Theory of linear differential systems, integration methods | Жазбаша |
| 5 | Linear homogeneous differential systems with constant coefficients | Жазбаша |
| 6 | Integration of linear differential equations of the first order | презентация |
| 7 | Periodic differential equations and systems theory and solution methods | презентация |
| 8 | Periodic solutions of the system of differential equations | Жазбаша |
| 9 | Autonomous systems | презентация |
| 10 | Stability of linear systems | презентация |
| 11 | First approximation stability | Жазбаша |
| 12 | Lyapunov's second method | презентация |
| 13 | Descriptive indicators of differential equations | Жазбаша |
| 14 | Correct and efficient systems | презентация |
| 15 | Stability of descriptive indicators | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Diferansiyel denklemlerin asimptotik entegrasyonu / / Ders Kitabı Shymkent - 2014. B. T. Kalimbetov. | |
| 2 | Matematiksel fizik denklemleri / Eğitim aracı. / Türkistan: Turan, 2016. / K.D. Kolekeev, M.D. Koshanova. | |
| 3 | 4 Matematiksel fizik yöntemleri / Ders Kitabı. / Almatı 2012/ Cilt. Bizhigitov. | |
| 4 | 5Matematiksel fizik denklemi. Çalışma Rehberi. - Çimkent, 2020. / K.Zh.Nazarova, M.A.Muratbekova |