Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
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DTUSHE6314 | Boundary value Problems for Differential equations | Екінші курс | 7 | 210 | 1 | 2 |
The purpose of the discipline is to teach undergraduates to use methods and techniques for solving non-standard and tasks of increased complexity. In the process of studying the discipline, undergraduates master techniques, skills for solving non-standard and problems of increased complexity in various sections of the mathematics course in high school. The training course forms the basis for systematization of tasks of increased complexity, methods and various ways of solving them.
Brainstorming, case study, developmental learning method, poster protection, creative learning methods, narrative, exchange of views, discussion, project work method, professional skills improvement method, problem-based learning method
1 | Presents his scientific thoughts, conclusions and ideas to colleagues, the scientific community on modern methods for solving boundary value problems for differential equations (LO8). |
Haftalık Konu | Evaluation Method | |
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1 | The necessary conditions for the existence of an unambiguous solution of differential equations for a two-point nonlinear boundary value problem. | Ауызша және жазбаша |
2 | Necessary and sufficient conditions for the existence of an unambiguous solution of differential equations for a two-point linear boundary value problem. | Ауызша және жазбаша |
3 | A method for constructing a Q matrix for differential equations for a two-point linear boundary value problem. | Ауызша және жазбаша |
4 | An algorithm for determining the approximate solution of differential equations for a two-point nonlinear boundary value problem. | Ауызша және жазбаша |
5 | Necessary conditions for the existence of an unambiguous solution of loaded differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
6 | Conditions for the existence of a solution to the Cauchy problem for loaded differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
7 | Necessary and sufficient conditions for the existence of an unambiguous solution of the loaded differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
8 | Construction of a Q matrix for loaded differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
9 | Algorithm for determining the approximate solution of loaded differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
10 | Convergence of the algorithm for determining the approximate solution of the loaded differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
11 | Necessary conditions for the existence of an unambiguous solution of Integro-differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
12 | Conditions for the existence of a solution to the Cauchy problem for Integro-differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
13 | Necessary and sufficient conditions for the existence of an unambiguous solution of Integro-differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
14 | Construction of a Q matrix for Integro-differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
15 | Convergence of the algorithm for determining the approximate solution of Integro-differential equations for a two-point linear edge problem. | Ауызша және жазбаша |
PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 |
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Textbook / Material / Recommended Resources | ||
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1 | Aısagalıev S. Leksıı po kachestvennoı teorıı dıfferensıalnyh ýravnenıı. Ýchebnoe posobıe. 2018g. | |
2 | T. M. Aldıbekov.Dıfferensıaldyq teńdeýler. Oqý quraly. - Almaty: Qazaq ýn-ti, 2017j. | |
3 | K.J.Nazarova, M.A.Mýratbekova. Ýravnenıa matematıcheskoı fızıkı. Ýchebnoe posobıe. – Shymkent, 2020g. | |
4 | B. H. Týrmetov. Integro-dıfferensıalnye operatory drobnogo porádka ı ıh prımenenıa k voprosam razreshımostı kraevyh zadach. 2016g. 220s. |