| Сабақтың коды | Курс аты | Сынып | Академиялық кредит | Cағат | Апталық сабақ сағаттары (лекция) | Апталық сабақ сағаттары (практика) | Апталық сабақ сағаттары (зертханалық) |
|---|---|---|---|---|---|---|---|
| МА1205 | Математикалық талдау III | Екінші курс | 6 | 180 | 1 | 3 |
understand numerical series and their signs of accumulation; to be able to study convergence and smooth convergence of functional chains; to master the methods of classifying functions into power series. Finding the continuity of multivariable functions, independent derivatives and differentiation, extrema; to understand the concept of double and triple integrals, their application. Forming the ability to solve problems with multiple integrals.
Group work, blitz-questions, critical thinking, brainstorming, case-stage, developmental teaching method, poster protection creativity teaching methods, Group work, cloud technology, IT method, Case-study method, group project work method, professional skill improvement method, problem composition method, Modular teaching technology.| 1 | - Demonstrates basic theoretical knowledge of mathematics; - uses basic and applied methods and tools to solve problems in his professional activity; - works with computer methods to collect, store and process information used in the field of his professional activity; - demonstrates the ability to freely discuss one's thoughts, prove conclusions, and convince others in a professional environment. (OH4); |
| 2 | -Uses the rules, laws and methods of mathematics to solve problems in various areas of mathematics (LO 5); |
| 3 | Apply the theoretical knowledge gained in fundamental mathematics to the description of processes and phenomena in various fields of mathematics (LO6); |
| 4 | -Uses classical methods of mathematics in solving fundamental and applied problems. (LO 7); |
| Haftalık Konu | Бағалау әдісі | |
|---|---|---|
| 1 | The limit of a multivariate function. Discontinuity of a multivariate function. | презентация |
| 2 | Individual works of high order. Higher order derivative of a complex function. | презентация |
| 3 | Higher order partial and complete differentials. Higher order independent differential of a complex function | Жазбаша |
| 4 | Taylor series. Necessary and sufficient conditions for an extremum. Extrema of two, three variable functions. | презентация |
| 5 | Conditional, method of Lagrange multipliers. Absolute extreme | Жазбаша |
| 6 | Riemann's multiple integral. (n=2,3) Reduction of double integral to secondary integral. Reducing the triple integral to the double integral. | презентация |
| 7 | Curvilinear coordinates. Polar, spherical, cylindrical coordinates. Change of variables in double integrals. Change of variables in triple integrals. | презентация |
| 8 | Degree series. Assembly radius and wheel. Abel's theorem | Жазбаша |
| 9 | Derivative, differential of an indefinite function. Higher-order derivative, differential of an undefined function. | Жазбаша |
| 10 | Cauchy-Hadamard formula. Concept of analytical functions. | презентация |
| 11 | Finding area, volume, surface area using double integral. Finding volume using the triple integral. | Жазбаша |
| 12 | Curve integrals of the first and second kind, their properties. Green's formula | презентация |
| 13 | Parameter-dependent, property-free integrals. | Жазбаша |
| 14 | Euler integral of the first kind. Euler integral of the second kind. ( beta and gamma functions.) | презентация |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
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| Оқулық / Материал / Ұсынылатын ресурстар | ||
|---|---|---|
| 1 | Matematiksel analiz dersi. Ders kitabı. -Novoye Izd. - Almatı. Ekonomi, 2014. Ibrashev H.I., Erkegulov Sh.T. Matematiksel analiz: Bir ders kitabı. 2018 A.J. Asibekov, MD Koshanova. Matematiksel analiz dersi. B.2.Ders Kitabı. - Almatı: 'Economica' yayınevi, 2014. O.A. Zhautikov. | |
| 2 | Çok değişkenli fonksiyonlar: 'Matematiksel analiz' dersi için öğretim metodolojik araç. - Türkistan, 2015. B. T. Kalimbetov. Matematiksel analizden pratik çalışmalar yapmak için yöntemsel talimatlar. Bölüm 2. Eğitimsel ve metodolojik araç. 2017 V. A. Mamaeva Öğrencilerin matematiksel analiz konusunda bağımsız çalışmaları. 2017 Zhensikbayev K. Matematiksel analize ilişkin ödevlerin toplanması. Eğitimsel ve metodolojik el kitabı. - Türkistan. 2018 BT Sarsenov |