| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| AI 3298 | Анализ IV | Үшінші курс | 5 | 150 | 1 | 2 |
The discipline introduces to the trigonometric Fourier series, the coefficient and their partial sum. Forms knowledge about the complex form, convergence and Dirichlet of the kernel and the integral of the Fourier series. Students learn to classify power, exponential and trigonometric functions into a Fourier series at a given interval and calculate the Fourier coefficient of the function.
Group work, work in pair, blitz-questions, critical thinking, brainstorming, developmental teaching method, poster protection, jigsaw method, creativity teaching methods, case-study method, group project work method, problem composition method, modular teaching technology.
| 1 | LO9 - uses the knowledge and skills acquired in the subject Mathematical Analysis IV to solve problems in his professional activities. |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Sums of infinite series, harmonic series. | Жазбаша |
| 2 | The divergence test, algebraic properties of infinite series. | Жазбаша |
| 3 | Integral test, p-series. | Жазбаша |
| 4 | The comparison test, the limit comparison test. | Жазбаша |
| 5 | The ratio test, the root test. | Жазбаша |
| 6 | Alternating series. | Жазбаша |
| 7 | Absolute convergence. | Жазбаша |
| 8 | Conditional convergence. | Жазбаша |
| 9 | Maclaurin polynomials, Taylor polynomials. | Жазбаша |
| 10 | Maclaurin and Taylor series. | Жазбаша |
| 11 | Power series in x. | Жазбаша |
| 12 | Radius and interval of convergence. | Жазбаша |
| 13 | Differentiating and integrating power series. | Жазбаша |
| 14 | Trigonometric series. | Жазбаша |
| 15 | Fourier series. | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Matematıkalyq analız kýrsy. Oqýlyq. - Novoe ızd. – Almaty. Ekonomıka, 2014j. Ibrashev H.I., Erkeǵulov Sh.T. T.2. | |
| 2 | Matematıkalyq taldaý: Oqý quraly. 2018j. Á.J. Ásibekov, M.D.Qoshanova. | |
| 3 | Matematıkalyq analız kýrsy. B.2.Oqýlyq. - Almaty: 'Ekonomıka' baspasy, 2014j. O.A. Jáýtikov. | |
| 4 | Ýravnenıa matematıcheskoı fızıkı. Ýchebnoe posobıe. – Shymkent, 2020g. K.J.Nazarova, M.A.Mýratbekova. | |
| 5 | Matematıkalyq analızdiń eseptik praktıkýmy.Oqý quraly. II bólim. /G.E.Berikhanova.-Almaty:Evero 2023. |