| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| A 1286 | Analysis І | Бірінші курс | 5 | 150 | 1 | 2 |
The discipline allows you to understand the limits of a function, the derivative of a function and its geometric, physical meaning. Students learn to solve problems involving a function of one variable. Demonstrates the ability to independently argue abstract thinking and individual statements when solving fundamental mathematical problems of theoretical positions in the scientific and applied direction of mathematics.
Narrative, exchange of ideas, discussion, problem methods.
| 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 | Concept of set; Rational numbers; Concept of irrational number; A set of real numbers; | Жазбаша |
| 2 | Absolute value; Limited sets; Interval and segment; | Жазбаша |
| 3 | Variables and constants; Number chains; Uniform chains; e-number; | Жазбаша |
| 4 | Upper and lower limits of the sequence of numbers; The principle of aggregation; Branch chain; | Жазбаша |
| 5 | Limit point concept and Bolzano-Weierstrass theorem; General definition of variable limit; Limit theorems; Infinitely small and infinitely large quantities; | Жазбаша |
| 6 | Concept of independent variable and function; Methods of transfer of functions; Geometric representation of the function; Domain of the function; | Жазбаша |
| 7 | Uniform functions; Even, odd and periodic functions; A brief overview of basic elementary functions; Inverse functions; Complex functions; Parametric functions; | Жазбаша |
| 8 | The concept of the limit of the function; Right and left limits of the function; Properties of function limits; | Жазбаша |
| 9 | Continuous functions; Continuity of elementary functions; Continuity of complex functions; | Жазбаша |
| 10 | Intermittent functions; Basic properties of continuous functions; | Жазбаша |
| 11 | A derivative; Concept of differential and its geometric meaning; Derivative and differential of a complex function; | Жазбаша |
| 12 | The derivative of the inverse function; rules of differentiation of functions; Right and left works; Higher order creations; | Жазбаша |
| 13 | Fermat's and Roll's theorems; Logrange and Cauchy theorems; Clarification of uncertainties; Hospital regulations; Taylor and McLauren formulas; | Жазбаша |
| 14 | Signs of acceleration and deceleration of functions; Maximum and minimum of the function; Study of extremum by second-order derivative; | Жазбаша |
| 15 | Sections of tangent and normal; Convex, concavity and bending points; Asymptotes; Ways to create graphs of functions. | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | H. I. Ibrashev, Sh. T. Ermegulov.Matematıkalyq taldaý kýrstary.Oqý.- Jańa basylym. - Almaty. Ekonomıka, 2014. 562b RMEB. | |
| 2 | H. T. Otarov. Matematıkalyq taldaý.Oqý-Almaty. Ekonomıka, 2012.-536 b. RMEB. | |
| 3 | O. A. Jáýtikov.Matematıkalyq taldaý kýrstary.- Matematıkalyq taldaý kýrstary.- Almaty:' Ekonomıka ' baspasy, 2014. - 832 B. RMEB. | |
| 4 | Kýjýkeev, J. M. Matematıkalyq taldaý: Oqý quraly. - Qostanaı: QINEÝ. M. Dýlatova, 2015. - 138C. RMEB. | |
| 5 | M. B. Valeeva. Matematıkalyq taldaý: 5V010900-Matematıka mamandyǵyna arnalǵan pánniń oqý-ádistemelik kesheni. - Petropavl: SQMÝ. M. Qozybaeva, 2014. - 147C. RMEB. |