Визуальный подход к высшей математике

Аннотация

concepts related to the performance of actions: multiplication and division of complex numbers, raising to a power and extracting a root from a complex number. All of the above actions, as a rule, are communicated to students in the form of appropriate formulas. Therefore, performing actions with complex numbers for students of engineering specialties and areas of training is very abstract. Using the interactive geometric environment GeoGebra, you can clearly demonstrate to students’ what kind of object is obtained as a result of the multiplication of complex numbers. To this end, two complex numbers should be given a=r⋅(cosα+isinα) and z=m (cosβ+i sin β), complete the necessary constructions and inform students that point K is the result of multiplying complex numbers a and z (Fig. 4) Fig.4. Product of complex numbers Similarly, using the GeoGebra interactive geometric environment, you can visualize the process of dividing complex numbers:a=r⋅(cosα+isinα) and z=m⋅(cosβ+isinβ). Having completed all the necessary constructions in the computer program, we get that the point M is the result of dividing the complex number a by z (Fig. 5). 215 Жамият ва инновациялар – Общество и инновации – Society and innovations Special Issue – 02 (2022) / ISSN 2181-1415 Fig.5. Division of complex numbers The use of the interactive geometric environment GeoGebra and other computer programs for educational purposes allows the visualization of abstract mathematical concepts, which contributes to the speedy perception of the material being studied, its deeper understanding and increases interest in the discipline being studied.