| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| ZhDT 2288 | Simple differential equations I | Екінші курс | 4 | 120 | 1 | 2 |
The discipline allows students to gradually understand the basic concepts and properties of differential equations. Introduces the concepts of first-order differential equations, including homogeneous equations, linear equations and equations in full derivatives. Students learn to solve problems on the topics of high-order differential equations, differential equations with a reduced degree.
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 | Basic concepts of the theory of differential equations; Geometric explanation of the differential equation. | презентация |
| 2 | Differential equations with separated variables. Homogeneous equations and equations reduced to it. | презентация |
| 3 | First order linear equations. Bernoulli's equation. Riccati equation. | презентация |
| 4 | Complete differential equations. Integrating multiplier. | презентация |
| 5 | Theorems on the existence and uniqueness of the solution of the Cauchy problem. | презентация |
| 6 | Theorem on the existence and uniqueness of a solution of a higher-order differential equation. | презентация |
| 7 | Unsolved first-order differential equations by derivative; General method of parameter input. Lagrange and Clairot equations. | презентация |
| 8 | Higher-order differential equations with reduced order. | презентация |
| 9 | Theory of linear differential equations. Definitions and general properties. Theory of homogeneous linear equations. | презентация |
| 10 | Inhomogeneous linear equations. Joint equations. | презентация |
| 11 | Independent types of linear differential equations. Homogeneous linear equations with constant coefficients. | презентация |
| 12 | Inhomogeneous linear equations with constant coefficients. | презентация |
| 13 | Integrating the equation using series. Second order linear equations. | презентация |
| 14 | Theory of second-order linear differential equations. | презентация |
| 15 | Vector-matrix calculations. | презентация |
| 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 | Belirsiz ve belirli integrallerin teorisi ve problemleri: ders kitabı Bayarystanov A.O., Abylaeva A.M., Aldibayeva L.T. Ders Kitabı .-Almaty, Almanakh, 2020. | |
| 3 | Çok değişkenli bir fonksiyonun diferansiyel ve integral hesaplamaları Ders Kitabı..-Almaty, Almanakh, 2021. Bayarystanov A.O. Alday M., İlyasova M.T. | |
| 4 | Diferansiyel denklemlerle ilgili dersler: Ders Kitabı. / S. Toraygyrov'un adını taşıyan Pavlodar Devlet Üniversitesi. - Pavlodar: Kereku, 2015. -409p. http://rmebrk.kz M. Muhtarov. |