| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| DTTSHA 4385 | Methods for Solving Partial Differential Equations | төртінші курс | 5 | 150 | 1 | 2 |
The discipline develops skills of solving problems of differential equations of independent origin and knowledge of the basic theory. The discipline teaches students the classification of differential equations of independent origin and their canonical form, the study of Fourier methods, thermal potentials, the continuation method and Green functions, the principle of maximal, Cauchy's problem, mixed problems, Duhamel's principle.
Team work, work in pair, blitz questions, critical thinking, brainstorming, developmental learning method, poster protection, jigsaw method, creativity learning methods, case study method, group project work method, problem work method, modular learning technology.
For students with disabilities, together with structural divisions, the teaching methods, forms, type of control and amount of time for the implementation of specialized adaptive disciplines (modules) can be changed by the subject teacher.
| 1 | Solves fundamental and applied mathematical problems using basic methods and laws of mathematics (LO 9); |
| 2 | Builds mathematical models of processes and phenomena in solving applied practical problems (LO 10); |
| 3 | Conducts scientific and pedagogical research in the educational environment (LО11). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Introduction. Basic concepts of mathematical physics. Physical problems submitted to tenders of mathematical physics. Classification of independent derivatives of second-order equations and their reduction to a canonical form. | Жазбаша |
| 2 | Classification of second-order independent derivative equations that depend on multiple variables. The concept of description. | Жазбаша |
| 3 | Simple problems that can be reduced to hyperbolic type equations. Marginal and initial conditions. Setting different problems. | Жазбаша |
| 4 | Method of propagating waves. Dalamber formula. Physical explanation. Theorems on the stability and estimation of solving the Cauchy problem. | Жазбаша |
| 5 | Method for distinguishing variables. Solving mixed boundary value problems posed for hyperbolic equations by the Fourier method. | Жазбаша |
| 6 | The Sturm-Liouville problem of an eigenvalue number and an eigenvalue function. | Жазбаша |
| 7 | Inhomogeneous equations. Duhamel's principle and its application to solving the Cauchy problem for an inhomogeneous equation. | Жазбаша |
| 8 | Cauchy and Gursa reports. Riemann's formula. Theorems about the existence and only of the shemes of Cauchy and Gursa problems. | Жазбаша |
| 9 | Edge problems to the wave equation edge problems to the wave equation. | Жазбаша |
| 10 | Simple problems to be reduced to equations of parabolic origin. Setting an edge problem. Fundamental solution of the thermal conductivity equation. | Жазбаша |
| 11 | Solving the Cauchy problem for the thermal conductivity equation. Poassson's formula. Theorems on the stability and estimation of the Cauchy problem solution. | Жазбаша |
| 12 | Method for distinguishing variables. Homogeneous edge problem. | Жазбаша |
| 13 | General First margin report. | Жазбаша |
| 14 | Equation of inhomogeneous thermal conductivity. Problems on an infinite straight line. | Жазбаша |
| 15 | Initial unconditioned reports. | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Tıhonov a. N., Samarskıı A. A. Matematıkalyq fızıka teńdeýleri. Basylym. Ǵylym, M.: 2006. | |
| 2 | Koshlákov n.S., Glıner E.B., Smırnov m. m. Matematıkalyq fızıkanyń jartylaı týyndylaryndaǵy teńdeýler. - M.: Joǵary mektep, 2000. - 712 B. | |
| 3 | Matematıkalyq fızıka teńdeýleri. - M.: Joǵary mektep. - 2004. - 560 b. | |
| 4 | Bısadze a. v Matematıkalyq fızıka teńdeýleri. Máskeý:' Ǵylym', 2002. | |
| 5 | Arsenın v. Ia. Matematıkalyq fızıka. Negizgi teńdeýler jáne arnaıy fýnksıalar. 'Ǵylym', Máskeý: 2006. |