| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| MFA 4386 | Methods of mathematical physics | төртінші курс | 5 | 150 | 1 | 2 |
The subject provides knowledge with classical methods of integrating partial differential equations of the second order, leading to a number of physical and technical problems. Students learn to use their mathematical knowledge to find solutions to partial differential equations that satisfy some additional conditions of mathematical physics problems. The ability to use modern mathematical tools to create mathematical and statistical models, improve statistical methods and algorithms, as well as apply their 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 (LО11). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Self-derived DIF.concepts of equations. Kovalevskaya theorem. | Жазбаша |
| 2 | Linear and quasi-linear equations of the same order. | Жазбаша |
| 3 | Pfaffa equations. | Жазбаша |
| 4 | Nonlinear First-Order equations. | Жазбаша |
| 5 | Equations of the second order with independent derivatives, equations of the upper order. | Жазбаша |
| 6 | Bringing independent derivative equations to Canonical types. | Жазбаша |
| 7 | Examples of problems with initial and boundary(edge) conditions. | Жазбаша |
| 8 | Types of linear Integral Equations. Physical examples. Examples of mathematical models of physical and technical processes. | Жазбаша |
| 9 | Examples of mathematical models of physical and technical processes. | Жазбаша |
| 10 | Basic properties of harmonic functions, singularity of the solution of the Dirichlet problem. | Жазбаша |
| 11 | Poisson formula. | Жазбаша |
| 12 | Methods for distinguishing variables; examples of solving problems of oscillation equations, simple examples of problems of parabolic and elliptical equations. | Жазбаша |
| 13 | Integral transformations: integral types, applications of Laplace, Fourier and Mellin transformations. | Жазбаша |
| 14 | Examples of the method of finite differences; Dirichlet calculation, calculation of the thermal conductivity equation. | Жазбаша |
| 15 | Examples of variational methods: Dirichlet's principle, eigenvalue calculus, Ritz and Bubnov-Galerkin methods. | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | V. s. Vladımırov 'Matematıkalyq fızıka teńdeýleri'. Máskeý, 'Ǵylym', 2018 j. | |
| 2 | A. V. Bısadze. 'Matematıkalyq fızıka teńdeýleri'. Máskeý, 'Ǵylym', 2016 j. | |
| 3 | A.N. Tıhonov, A. A. Samarskıı. Matematıkalyq fızıka teńdeýleri. Máskeý, 'Ǵylym', 2012 j. | |
| 4 | Q. B. Sábıtov. 'Matematıkalyq fızıka teńdeýleri'. Máskeý, 'Joǵary Mektep', 2013 j. | |
| 5 | A. V. Bısadze, D. V. Kalınıchenko. 'Matematıkalyq fızıka teńdeýleri boıynsha esepter jınaǵy': Máskeý,'ǵylym' 2015 j. |