| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| Top 3380 | Fundamentals of Fourier analysis | Үшінші курс | 5 | 150 | 1 | 2 |
The purpose of the subject is to learn the basic methods of research, to have concepts about organic series, functional chains and series, Fourier series and Fourier transform, fuzzy functions; development of logical thinking and mathematical culture of students necessary for conducting scientific research, learning mathematical subjects, mastering the theory of orthogonal series, multiple trigonometric series, the theory of multiple Fourier series according to the trigonometric system, having the ability to use the methods of multiple trigonometric Fourier series in the theory of multipliers, the tory of multipliers, the theory of functional spaces formation of being, learning to be able to effectively use in the process of making reports and achieving successful mastery of acquired knowledge skills in such a way that they can use them in the future.
Group work, method of problem work, method of mini-research, method of improving professional skills.
| 1 | Uses classical methods of mathematics in solving basic and applied problems. (OH7); |
| 2 | Uses mathematical modeling methods to solve basic and applied practical problems (ОН8); |
| 3 | Solves the problem by correcting the propositions of classical problems of basic mathematics (ОН9); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Classification of functions into trigonometric series. Fourier series classification. | презентация |
| 2 | Classification using sufficient features of the Fourier series classification of a function | презентация |
| 3 | Classification using Fourier series of even and odd functions | Жазбаша |
| 4 | Classification using the Fourier series obtained by an orthogonal system of any functions | презентация |
| 5 | Classification using the complex image of the Fourier series | презентация |
| 6 | Calculation of the Fourier integral | презентация |
| 7 | Making examples of classification of functions into Fourier series | презентация |
| 8 | Classification using religious symbols | презентация |
| 9 | Classification using Jordan's symbol | презентация |
| 10 | Classification using the Vallée-Poussin sign | презентация |
| 11 | Classification using Jung's sign | Жазбаша |
| 12 | Classification using Lebesgue's sign | презентация |
| 13 | Classification by comparison of religious and Jordanian signs | Жазбаша |
| 14 | Classification of Vallée-Poussin sign by comparison with Deeney and Jordan signs | презентация |
| 15 | Classification using the relationship between Jung's sign and Dini, Jordan, Valle-Poussin signs | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Matematiksel analiz dersi. O.A. Jautikov, 2014 Matematiksel analiz dersi. Ibrashev HI, Erkegulov Sh. Cilt 2014 Diferansiyel ve integral hesabı Shipachev V.S. 2019 Matematiksel analiz üzerine ders anlatımı. Bölüm I. Matematiksel analize giriş. A. Yu. Petroviç, 2017 | |
| 2 | Matematiksel analiz dersi Bölüm II. Çok değişkenli analiz, integral eğrisi. A. Yu. Petroviç, 2017 Kısa kurs matematik analizi Cilt 1. Kudryavtsev L.D. 2015. Matematiksel analiz konusunda pratik yapın. O. N. Bykova, S. Yu.Kolyagin, B. N. Kukushkin.2015 | |
| 3 | Matematiksel analiz. Valery İvanoviç Opoytsev, 2016. 4 saatte matematiksel analiz. Akademik lisans derecesi için ders kitabı ve uygulama. Aksenov A.P. 2016 Matematiksel analiz. Asibekov A.J., Koshanova MD. 2018. Aidos E.J. Yüksek Matematik - 2, Almatı, 2015. |