Complex functions with GeoGebra

Autores: Ana Maria Dazevedo Breda, José Manuel Dos Santos Dos Santos
Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 35, Nº. 2, 2016, págs. 102-110
Idioma: inglés
DOI: 10.1093/teamat/hrw010
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Resumen
- Complex functions, generally feature some interesting peculiarities, seen as extensions of real functions. The visualization of complex functions properties usually requires the simultaneous visualization of two-dimensional spaces. The multiple Windows of GeoGebra, combined with its ability of algebraic computation with complex numbers, allow the study and exploration of complex functions of one complex variable not only through the traditional techniques but also by the use of Domain Colouring techniques. Here, we will show how we can use GeoGebra to explore complex functions, using several representations obtained by the creation of new tools, which complement the ones already provided by this software. Our tools were designed to be used by students attending the first academic year of engineering or science courses. They can and should be used as an educational tool in collaborative learning environments. The main advantage in their use is the promotion of deductive reasoning (conjecture/proof) in individual terms, and the promotion of mathematical discussions in collective terms. In the literature review done so far, few references were found involving the study of this topic by the use of a single software.