| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| МТ 2286 | Mathematical analysis ІІ | Екінші курс | 6 | 180 | 1 | 3 |
By studying the subject, students form integral calculations of functions dependent on one variable, the ability to use the theory of integrals in geometry, physics, mechanics, and economics. Learns methods of differentiation of various functions for further study of mathematical analysis and other mathematical subjects. In the scientific and applied direction of mathematics, students practice abstract thinking and the ability to independently prove individual statements in solving problems and exercises that represent theoretical positions.
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 | -Uses the rules, laws and methods of mathematics to solve problems in various areas of mathematics (LO 5); |
| 2 | Apply the theoretical knowledge gained in fundamental mathematics to the description of processes and phenomena in various fields of mathematics (LO6); |
| 3 | -Uses classical methods of mathematics in solving fundamental and applied problems. (LO 7); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | The concept of the first function. The concept of indefinite integral. Properties of the indefinite integral. Table of fundamentals of indefinite integrals. Integration by parts and change of variable. | презентация |
| 2 | Integration of rational fractions Ostrogradsky method. | презентация |
| 3 | Integrating irrational, differential binomials. | презентация |
| 4 | Integration of trigonometric and transcendental functions. | презентация |
| 5 | Problems that give rise to the concept of a definite integral. The limit of the integral sum. Upper and lower integral Darboux sums and their properties. | презентация |
| 6 | Necessary and sufficient conditions for integration. Classes of integrable functions. | презентация |
| 7 | Properties of the definite integral. Mean value theorems. | презентация |
| 8 | Üst limiti değişken olan belirli bir integral. Newton-Leibniz formülü. | презентация |
| 9 | Tanımlı integral hesaplama yöntemleri. (değişkenin değiştirilmesi, bölme) | презентация |
| 10 | Approximation of defined integrals. Calculation of the area of flat figures in the Cartesian coordinate system. Calculation of the area of flat figures in the polar coordinate system. | презентация |
| 11 | Arc length and differential. Calculation of volumes. | Жазбаша |
| 12 | Surface area of rotation Center of gravity. Moment of inertia. | Жазбаша |
| 13 | Propertyless integrals whose limits are infinite. | Жазбаша |
| 14 | Absolute set propertyless integrals. | презентация |
| 15 | Integrals of undefined functions. | презентация |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | 1. H.I. Ibrashev, Sh.T. Erkeǵulov. Matematıkalyq analız kýrsy. Oqýlyq. - Novoe ızd. – Almaty. Ekonomıka, 2014. 562b RMEB. | |
| 2 | 2. Á.J. Ásibekov, M.D.Qoshanova. Matematıkalyq taldaý: Oqý quraly. 2018j. | |
| 3 | 3. O. A. Jáýtikov. Matematıkalyq analız kýrsy. Oqýlyq.- Almaty : 'Ekonomıka' baspasy, 2014. - 832 s. RMEB. | |
| 4 | 4. B.T. Qalymbetov Kóp aınymaly fýnksıalar. 'Matematıkalyq taldaý' kýrsy boıynsha oqý- ádistemelik qural. Túrkistan, 2015. | |
| 5 | 5.V.A.Mamaeva. Matematıkalyq taldaýdan tájirıbelik jumystardy oryndaýǵa arnalǵan ádistemelik nusqaý. 2-bólim. Oqý-ádistemelik qural. 2017j |