| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| А1283 | Integral Equations | төртінші курс | 5 | 150 | 1 | 2 |
During the teaching course, students are introduced to the main problems of the theory of integral equations and methods of solving them in order to teach them to use their knowledge in solving specific problems on this topic. During the course, students should be able to explain the basic concepts of the theory of integral equations of Volterra and Fredholm, develop the ability to understand the formulations and proofs of basic theorems, master the basic methods of solving integral equations.
Team work, critical thinking, brainstorming,
The teacher of the subject can change the teaching methods, forms, type of supervision and amount of time of introduction of specialized adaptation subjects (modules) for students with disabilities in cooperation with structural departments.
| 1 | Apply the theoretical knowledge gained in fundamental mathematics to the description of processes and phenomena in various fields of mathematics (LO6); |
| 2 | -Solves the problem, correctly setting the performances of classical problems of fundamental mathematics;(LO 9); |
| 3 | Uses theoretical and mathematical-statistical methods in the study of problems in various areas of mathematics; |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Polynomials and operations on them. | презентация |
| 2 | Dividers. The greatest common denominator. Euclidean algorithm. | презентация |
| 3 | Roots of polynomials. Horner scheme. | презентация |
| 4 | The Fundamental Theorem of Algebra and its Consequences. | Жазбаша |
| 5 | Canonicalization of the quadratic form | Жазбаша |
| 6 | The law of inertia. | Жазбаша |
| 7 | Positively defined forms | презентация |
| 8 | Methods of solving equations of the third and fourth degree | презентация |
| 9 | Methods of determining the boundary and number of real roots of a polynomial. | Жазбаша |
| 10 | Simple problems that can be reduced to parabolic equations. Filing of margin report. Fundamental solution of heat conduction equation. | презентация |
| 11 | Solving the Cauchy problem for the heat conduction equation. Poisson formula. Theorems about the stability and estimation of the solution of the Cauchy problem | презентация |
| 12 | Method of separation of variables. Uniform marginal calculus. | презентация |
| 13 | Concept of Euclidean space | Жазбаша |
| 14 | Orthogonal matrices. Orthogonal transformation | презентация |
| 15 | Symmetric transformation | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Kulekeev K.D., Nazarova K.J. İntegral denklemler. Türkistan, 2015 | |
| 2 | Kulekeev K.D., Nazarova K.J. Özel fonksiyonlar. Türkistan, 2019 | |
| 3 | Krasnov Milletvekili. İntegral denklemler, M. 1975. | |
| 4 | Lizorkin P.I. Diferansiyel ve integral denklemler dersi. M.1981. | |
| 5 | Michlin S.G. Lineer integral denklemler üzerine dersler, M. 1959. | |
| 6 | Petrovsky I.T. İntegral denklemler teorisi üzerine ders. M, 1965 | |
| 7 | yüksek lisans Krasnov, A.I. Kiselev, G.I. Makarenko. İntegral denklemler. | |
| 8 | Smirnov V.I. İleri matematik dersi M. Cilt 4, 1975. | |
| 9 | Trikomi F. İntegral denklemler M., 1960. | |
| 10 | Orynbasarov M., Sahaev Sh. Doğrusal integral denklemler. A., 1994. |