| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| IK 2295 | Integral Calculus | Екінші курс | 5 | 150 | 1 | 1 |
By studying the subject, 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.
Teamwork, blitz questions, critical thinking, brainstorming, case study, developmental learning method , poster protection creativity learning methods, teamwork, cloud technology, it method, Case study Method, group project work method, professional skills improvement method, problem work method, modular learning technology.
For students with disabilities, together with structural divisions, the teaching methods, forms, type of control and amount of time for the implementation of specialized adaptive disciplines (modules) can be changed by the subject teacher.
| 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 | The concept of the first function. The concept of an indefinite integral. Properties of an undefined integral. Tabulation of the main ones of indeterminate integrals. Partial integration and variable replacement. | презентация |
| 2 | Integration of rational fractions Ostrogradsky method. | презентация |
| 3 | Integration of irrational, differentiational binomials. | презентация |
| 4 | Integration of trigonometric and transcendental functions. | презентация |
| 5 | Problems that give rise to the concept of a defined integral.The limit of the integral sum. Upper and lower integral darbu sums and their properties. | презентация |
| 6 | Necessary and sufficient conditions for integration. Classes of integrable functions. | презентация |
| 7 | Properties of the defined integral. Theorems on the mean. | презентация |
| 8 | A defined integral whose upper limit is a variable. Newton-Leibniz formula. | презентация |
| 9 | Methods for calculating the defined integral. (variable replacement, partitioning). | презентация |
| 10 | Approximate calculation of defined integrals. Calculation of the area of flat figures in the Cartesian coordinate system. Calculate the area of flat figures in the polar coordinate system. | презентация |
| 11 | Arc length and differential. Calculation of volumes. | презентация |
| 12 | The surface area of rotation is the center of gravity. Inertial moment. | презентация |
| 13 | Integrals without property, the limits of which are finite. | презентация |
| 14 | Integrals without absolute set property. | презентация |
| 15 | Integrals of unspecified functions. | презентация |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | H.I. Ibrashev, Sh.T. Erkeǵulov. Matematıkalyq analız kýrsy. Oqýlyq. - Novoe ızd. – Almaty. Ekonomıka, 2014. 562b RMEB. | |
| 2 | Á.J. Ásibekov, M.D.Qoshanova. Matematıkalyq taldaý: Oqý quraly. 2018j. | |
| 3 | O. A. Jáýtikov. Matematıkalyq analız kýrsy. Oqýlyq.- Almaty : 'Ekonomıka' baspasy, 2014. - 832 s. RMEB. | |
| 4 | B.T. Qalymbetov Kóp aınymaly fýnksıalar. 'Matematıkalyq taldaý' kýrsy boıynsha oqý-ádistemelik qural. Túrkistan, 2015. |