| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| DTDTI 6308 | Partial Differential Equations IV | Екінші курс | 6 | 180 | 1 | 2 |
The purpose of mastering the discipline is to teach students the mathematical basis of the finite element method, the use of methods and methods of mathematical modeling of physical fields of various nature, characterized by equations of mathematical physics. Develops mathematical modeling methods and computational algorithms that implement cryptographic methods of Information Protection. Studies new mathematical methods for solving problems for differential equations of independent derivatives. Develops constructive methods for applying the finite element method.
Team work, critical thinking, brainstorming, developmental learning method, group project work method, problem method, mini research method, professional skills improvement method, exchange of views, discussion method.
| 1 | Creates constructive methods for solving boundary value problems of integro-differential equations |
| 2 | Studies new mathematical methods for solving extreme problems and boundary value problems for nonlinear differential equations and mathematical physics |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | The basic equations of mathematical physics and the problems to which they are logically posed | презентация |
| 2 | Cauchy problem for equations of parabolic origin, mixed problems and methods for solving them | презентация |
| 3 | Cauchy problem for equations of hyperbolic origin, mixed problems and methods for solving them | Жазбаша |
| 4 | Classical edge problems for equations of elliptical origin and methods for solving them | презентация |
| 5 | Solving non-classical problems for equations of parabolic origin by the Fourier method | презентация |
| 6 | Solving non-classical problems for equations of hyperbolic origin by the Fourier method. | Жазбаша |
| 7 | For equations of parabolic origin, a problem involving a higher-order derivative in the edge condition | Жазбаша |
| 8 | Performance and solution methods of inverse problems for a parabolic equation | презентация |
| 9 | Performance and solution methods of inverse problems for a hyperbolic equation | презентация |
| 10 | Integro-differential operators and their uses | Жазбаша |
| 11 | Generalized Dirichlet problem and methods for solving it | Жазбаша |
| 12 | Generalized Neumann problem and methods for solving it | Жазбаша |
| 13 | Generalized Roben problem and methods for solving it | Жазбаша |
| 14 | Performance and solution methods of involute edge problems | Жазбаша |
| 15 | Spectral problems of involute edge problems | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | 1. Tıhonov a. N., Samarskıı A. A. Matematıkalyq fızıka teńdeýleri. Máskeý: MMÝ basylymy ǵylym, 2016 j.– 791 р | |
| 2 | 2. Saǵyndyqov B. j. Matematıka fızıka mamandyǵy. Almaty, 'Qyzdar ýnıversıteti' baspasy, 2014. – 252 b. | |
| 3 | 3. Sabıtov k. b. Matematıkalyq fızıka teńdeýleri: joǵary oqý oryndaryna arnalǵan oqý quraly; basylym: M.: Joǵary Mektep, 2017 j. | |
| 4 | 4.Týrmetov B. h. Bólshek tártiptiń ıntegraldy-dıfferensıaldy operatorlary jáne olardy aımaqtyq máselelerdiń sheshilý máselelerine qoldaný. Monografıa.– Shymkent: 'Álem' Baspahanasy, 2016 . – 220s. | |
| 5 | 5. Ibatov A., Syzdyqova z. n. Matematıka fızıka mamandyǵy. oqý. - Astana, EÚÝ, 2011. – 315b |