| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| KOT 2297 | Multidimensional analysis | Үшінші курс | 5 | 150 | 1 | 3 |
The discipline introduces to the theory of bringing a multiple integral into a secondary integral. Forms the skills of studying integral calculations of functions depending on several variables, the application of the theory of integrals in geometry, physics, mechanics, economics, series theory. Students learn to solve problems by mastering Euler integrals, field theory, methods of integrating rational functions, Euler substitutions and methods of integrating trigonometric functions.
Teamwork, work in pair, blitz questions, critical thinking, brainstorming, developing learning method, poster protection, jigsaw method, creative teaching methods, case study method, group project work method, problem work method, modular learning technology.
For students with disabilities, together with structural units, the discipline teacher can change the methods, forms of training, form of control and the amount of time for the introduction of specialized adaptive disciplines (modules).
| 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 | Uses theoretical and mathematical-statistical methods in the study of problems in various areas of mathematics (LO 11). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Sums of infinite series, harmonic series. | презентация |
| 2 | The divergence test, algebraic properties of infinite series. | презентация |
| 3 | Integral test, p-series. | презентация |
| 4 | The comparison test, the limit comparison test. | презентация |
| 5 | The ratio test, the root test. | презентация |
| 6 | Alternating series. | презентация |
| 7 | Absolute convergence. | презентация |
| 8 | Conditional convergence. | презентация |
| 9 | Maclaurin polynomials, Taylor polynomials. | презентация |
| 10 | Maclaurin and Taylor series. | презентация |
| 11 | Power series in x. | презентация |
| 12 | Radius and interval of convergence. | презентация |
| 13 | Differentiating and integrating power series. | презентация |
| 14 | Trigonometric series. | презентация |
| 15 | Fourier series. | презентация |
| 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 | Matematıkalyq analızdiń eseptik praktıkýmy.Oqý quraly .II bólim. /G.E.Berikhanova.-Almaty:Evero 2023. | |
| 5 | Matematıkalyq tadaý 3.Oqý quraly.J.Qarataev.-Almaty:Evero-2023. |