| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| MESHP 32101 | Practice for Solving Mathematical Tasks I | Үшінші курс | 5 | 150 | 3 | 45 |
The discipline introduces to mathematical models of meaningful problems and forms ideas about a text problem as a component of mathematical education. Develops students' skills in solving equations, inequalities and systems consisting of them. Students learn how to perform functional substitution, solve functional equations, solve problems using graphical, vector methods.
Teamwork, work in pair, blitz questions, critical thinking, brainstorming, developmental learning method, creative learning methods, case-study method, group project work method, jigsaw method, problem work method, modular learning technology.
| 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 | Conducts scientific and pedagogical research in the educational environment (LО11). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Conversion of algebraic expressions. Polynomials. Bringing them to normal form. | Ауызша және жазбаша |
| 2 | Transformation of rational and irrational expressions. | Ауызша және жазбаша |
| 3 | Equilibrium conversion of exponential and logarithmic expressions properties of logarithms. | Ауызша және жазбаша |
| 4 | Methods for solving equations. Equivalent (equivalent) equations. | Ауызша және жазбаша |
| 5 | Solving rational and irrational equations. The method of subtracting both sides of an irrational equation to the same power. | Ауызша және жазбаша |
| 6 | Method for entering new variables. Using an artificial method.Solving equations under the module symbol. | Ауызша және жазбаша |
| 7 | Solving systems of linear equations and problems given to the creation of equations. | Ауызша және жазбаша |
| 8 | Exponential equations. Enter new variables. Using an artificial method. Logarithmic equations. The main types of logarithmic equations. | Ауызша және жазбаша |
| 9 | Methods for solving inequalities. Significant (equivalent) inequalities. A system of linear inequalities with one unknown and a set. | Ауызша және жазбаша |
| 10 | Methods for solving rational and irrational inequalities. Solving linear inequalities with one unknown. | Ауызша және жазбаша |
| 11 | Exponential and logarithmic inequalities. The main types of logarithmic inequalities and methods for solving them. | Ауызша және жазбаша |
| 12 | Solving equations and inequalities given by the parameter. | Ауызша және жазбаша |
| 13 | Conversion of trigonometric expressions. Argument-forms of addition and subtraction.Formulas for quoting. Double angle and triple angle formulas. Relationships between trigonometric functions of only one argument. | Ауызша және жазбаша |
| 14 | Rank reduction formulas. Convert the sum of trigonometric functions to the product. Inverse trigonometric function. | Ауызша және жазбаша |
| 15 | Trigonometric equations and inequalities. Simple trigonometric equations. Integration of solutions of Trigono-metric equations. solving equations in the form of. | Ауызша және жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | S. E. Eralıev. Matematıka – 1. Esepter jınaǵy. Oqý-ádistemelik qural. 2012j. | |
| 2 | B.J.Alıhanova.Matematıkalyq esepterdi sheshý praktıkýmy. Oqý-ádistemelik qural. Q.A.Iasaýı atyndaǵy Halyqaralyq qazaq-túrik ýnıversıteti, 2014j. | |
| 3 | K.T.Bertıskanova Praktıkým po reshenıý matematıcheskıh zadach. Ýchebno-metodıcheskoe posobıe. – Karaganda, 2012g. | |
| 4 | A.T.Mýsın.Algebra jáne geometrıa kýrsy. Oqý quraly. - Qaraǵandy: Bolashaqbaspa, 2011. A. T. Mýsın. |