| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| DTST 5214 | Qualitative Theory of Differential Equations | Бірінші курс | 5 | 150 | 1 | 2 |
The Qualitative Theory of Differential Equations is a branch of mathematics that focuses on understanding the behavior of solutions to differential equations without necessarily finding explicit solutions. It explores stability, phase space, bifurcations, periodic solutions, Lyapunov stability, and chaos theory. This approach provides insights into the long-term dynamics of complex systems without requiring detailed numerical solutions, making it a valuable tool in various scientific and engineering disciplines.
narrative, exchange of ideas, discussion, problem methods.
| 1 | Analyzes current development trends, the main problems of the history and philosophy of science, possession of the conceptual and methodological apparatus and applying the theoretical knowledge gained in various forms of research and intercultural communication |
| 2 | Uses a systematic approach and methods of harmonic and intelligent analysis in solving applied problems |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Dynamic systems. Sustainability. Phase break. | презентация |
| 2 | Limit behavior of trajectories | Жазбашапрезентация |
| 3 | The concept of stability according to Lyapunov | презентация |
| 4 | Stability theorems | Жазбашапрезентация |
| 5 | First Approximation System | Жазбаша |
| 6 | Equilibrium position | Жазбашапрезентация |
| 7 | Flow of a viscoelastic fluid between two coaxial cylinders | Жазбашапрезентация |
| 8 | Phase portraits | Жазбашапрезентация |
| 9 | Stability and bifurcation | презентация |
| 10 | Bifurcations of equilibrium positions | Ауызша және жазбаша |
| 11 | Couette flow of structured fluid | Жазбашапрезентация |
| 12 | Stationary homogeneous flow regimes | презентация |
| 13 | Homogeneous pressure flow of structured fluid | Жазбаша |
| 14 | Bifurcations of solutions to parabolic type equations | презентация |
| 15 | Wave front in a pressure flow model | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Fılıppov A.F. Vvedenıe v teorıý dıfferensıalnyh ýravnenıı: ýchebnık. 2-e ızd., ıspr. M.: Kom.Knıga, 2007. 240 s. | |
| 2 | Tıhonov A.N., Vasıleva A.B., Sveshnıkov A.A. Dıfferensıalnye ýravnenıa. M.: Naýka,1985. 231 s. | |
| 3 | Bıbıkov Iý.N. Kýrs obyknovennyh dıfferensıalnyh ýravnenıı. M.: Vysshaıa shkola, 1991. 303 s. | |
| 4 | Petrovskıı I.G. Leksıı po teorıı obyknovennyh dıfferensıalnyh ýravnenıı. M.: Naýka, Glavnaıa redaksıa fızıko-matematıcheskoı lıteratýry. 1964. 272 s. | |
| 5 | Beláeva N.A. Matematıcheskıe modelı deformırýemyh strýktýrırovannyh materıalov: monografıa. Syktyvkar: Izd-vo Syktgý, 2008. 116 s. |