| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| KKET 6311 | Theory of Incorrect and Inverse Problems | Екінші курс | 6 | 180 | 1 | 2 |
The purpose of the discipline is to introduce undergraduates to the performances of illogical and inverse problems for linear algebra, integral equations, equations of mathematical physics, and methods of solving them. The discipline is aimed at applying the methods of intellectual analysis in the study of Tikhonov's regularization method, Ivanov's quasi-analysis method, pseudo-analysis method, gradient methods and interal equations of the first kind. Develops effective mathematical methods for solving illogical and inverse problems for equations of mathematical physics.
Team work, critical thinking, brainstorming, developmental learning method, group project work method, problem method, mini research method, professional skills improvement method, exchange of views, discussion method.
| 1 | Uses a systematic approach and methods of harmonic and intelligent analysis in solving applied problems. |
| 2 | Develops effective mathematical methods for solving applied problems of mathematics, physics, mechanics, economics and management. |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Concepts of irrational and inverse problems, examples. | |
| 2 | Illogical reports. Proofreading according to adamar. Conditional proofreading. | |
| 3 | Proofreading according to Tikhonov.Tikhonov's theorem. | |
| 4 | Irrational problems of linear algebra. | |
| 5 | Generalization of the concept of a solution. The concept of a normal solution. | |
| 6 | The concept of pseudo-solution. | |
| 7 | The method of Alpha regularization by A. N. Tikhonov. | |
| 8 | The method of M. M. Lavrentiev. | |
| 9 | The method of regularization of A. N. Tikhonov. | |
| 10 | Gradient methods for solving irrational and inverse problems. | |
| 11 | Convergence of gradient methods. | |
| 12 | Carlemann Type Estimates. | |
| 13 | Carlemann Type Estimates. | |
| 14 | The study of the singularity of the solution of Integral-differential equations. | |
| 15 | The study of the singularity of the solution of Integral-differential equations. |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | A. N. Tıhonov, V.Ia. Arsenın. Qate esepterdi sheshý ádisteri. – M.: Ǵylym, 2014. | |
| 2 | S.I. Kabanıhın. Keri jáne durys emes tapsyrmalar. – Novosıbırsk.: Sibir ǵylymı baspasy, 2015. | |
| 3 | A. A., Samarskıı, P. N. Vabıshevıch. Matematıkalyq fızıkanyń keri esepterin sheshýdiń sandyq ádisteri. – M.: URSS, 2015. | |
| 4 | A. G. Iagola, Van Ianfeı, I. E. Stepanova,, V. N. Tıtarenko. Keri esepter jáne olardy sheshý ádisteri. Geofızıkaǵa qosymshalar. –M.: bınomdyq basylym. Bilim zerthanasy, 2014. | |
| 5 | . Leonov A.S. qate qoıylǵan keri máselelerdi sheshý.- M.: 'LIBROKOM' kitap úıi ' baspasy, 2009 j. |