| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| MFT 4377 | Mathematical Physics Equations | төртінші курс | 5 | 150 | 1 | 2 |
The subject teaches students to introduce classical methods of integration of second-order independent differential equations leading to a number of specific physical and technical problems. Students learn to use their mathematical knowledge in finding solutions to independent differential equations that satisfy some additional conditions of mathematical physics problems. Ability to use modern mathematical tools to create mathematical and statistical models, improve statistical methods and algorithms, and apply results.
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 (LО12). |
| 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. | презентация |
| 2 | Classification of second-order independent derivative equations that depend on multiple variables. The concept of description. | презентация |
| 3 | Simple problems that can be reduced to hyperbolic type equations. Marginal and initial conditions. Setting different problems. | презентация |
| 4 | Method of propagating waves. Dalamber formula. Physical explanation. Theorems on the stability and estimation of solving the Cauchy problem | презентация |
| 5 | Method for distinguishing variables. Solving mixed boundary value problems posed for hyperbolic equations by the Fourier method. | презентация |
| 6 | The Sturm-Liouville problem of an eigenvalue number and an eigenvalue function. | презентация |
| 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 | |
| 10 | Simple problems to be reduced to equations of parabolic origin. Setting an edge problem. Fundamental solution of the thermal conductivity equation. | презентация |
| 11 | Solving the Cauchy problem for the thermal conductivity equation. Poassson's formula. Theorems on the stability and estimation of the Cauchy problem solution | презентация |
| 12 | Method for distinguishing variables. Homogeneous edge problem. | презентация |
| 13 | General First margin report. | презентация |
| 14 | Equation of inhomogeneous thermal conductivity. Problems on an infinite straight line. | Жазбаша |
| 15 | Initial unconditioned reports | презентация |
| 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. | |
| 6 | Vladımırov v. s. Matematıkalyq fızıka teńdeýleri. Máskeý:' Ǵylym', 2006. |