| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| DTDTI 5213 | Partial Differential Equations III | Бірінші курс | 5 | 150 | 1 | 2 |
The purpose of teaching the discipline is to form in – depth professional knowledge of undergraduates about methods of studying problems that arise in mathematical modeling of physical processes. Course of study: analyzes the statements of classical and non-classical problems and methods of their research, contribution theorems and modern trends in their application to prove the solvability of non-classical problems. Studies new mathematical methods for solving marginal problems for differential equations of independent derivatives.
The purpose of teaching the discipline is to form in – depth professional knowledge of undergraduates about methods of studying problems that arise in mathematical modeling of physical processes. Course of study: analyzes the statements of classical and non-classical problems and methods of their research, contribution theorems and modern trends in their application to prove the solvability of non-classical problems. Studies new mathematical methods for solving marginal problems for differential equations of independent derivatives.
| 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 | Creates constructive methods for solving boundary value problems of integro-differential equations (LO6); |
| 3 | - Studies new mathematical methods for solving extreme problems and boundary value problems for nonlinear differential equations and mathematical physics ; |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | - Studies new mathematical methods for solving extreme problems and boundary value problems for nonlinear differential equations and mathematical physics ; | Жазбашапрезентация |
| 2 | Direct and inverse problems posed for differential equations | Жазбаша |
| 3 | Setting up the Sturm-Liouville countback | презентация |
| 4 | Formulation of the inverse kinematic problem of seismics | презентация |
| 5 | Formulation of the inverse problem of the Newtonian potential theory | Жазбаша |
| 6 | Formulation of a one-dimensional inverse problem for a hyperbolic equation | презентация |
| 7 | Formulation of a limited-difference inverse problem | Жазбашапрезентация |
| 8 | Properties of the solution of a limited-difference direct problem | презентация |
| 9 | The properties of solving a limited-difference auxiliary problem | Жазбаша |
| 10 | The relationship between the limited-difference auxiliary solution of the problem and the desired coefficient | Жазбашапрезентация |
| 11 | The relationship between the limited-difference inverse report and the auxiliary report | презентация |
| 12 | A theorem on the necessary condition for the existence of a solution to a limited-difference inverse problem | Жазбаша |
| 13 | Proof of additional lemmas | Жазбаша |
| 14 | The theorem on the sufficient condition for the existence of a solution to a limited-difference inverse problem | презентация |
| 15 | An algorithm for solving a limited-difference inverse problem | Жазбашапрезентация |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | 1. Bakanov G.B. Derbes tuyndyly diferensialdyk tendeuler III: oku kūraly. Şymkent: «Älem» baspahanasy, 2023-966. | |
| 2 | 2. Elubaev S.E., Dılman T.B. Giperbolalyk jne parabolalyk tendeuler üşın keibır kerı esepter. Almaty: ver baspasy, 2016.184 6. | |
| 3 | Tihonov A.N., Arsenin V. Ia. Metody reşeniıa nekorrektnyh zadach. Izd. 4. URSS, 2022, 288 s. | |
| 4 | Kabanihin S. I. Obratnye i nekorrektnye zadachi. Uchebnik dlıa studentov vysşih uchebnyh zavedenii. Novosibirsk: Sibirskoe nauchnoe izdatelstvo, 2009. | |
| 5 | Iagola A.G., Van Ianfei, Stepanova I.., Titarenko V.N. Obratnye zadachi i metody ih reşeniıa. Prilojeniıa k geofizike. -M.: Izd-vo Binom. Laboratoriıa znanii, 13, - 219c |