Técnicas do cálculo numérico aplicadas no ensino médio
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2015-11-27
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Universidade Federal de Goiás
Resumo
In face of the need to determine values , satisfying equations of the form f(x) = 0,
the purpose is this paper to present three important methods isolating roots, considered in mathematical literature as elementary. First of all, this work puts out some
definitions and exposes the reader to the impossibility of creating formulas, for roots
of polynomial equations greater than tree degrees. However, it shows techniques that
provide acceptable approximation in minimizing the error possible, how close to zero
can the result can be reached. In order to optimize speidof these techmiques, this
paper also discusses some techniques to isolate roots to identying intervals that may
contain them. Futhermore, this paper raises a comparison between the three methods
of calculating the zeros of functions, addressing possible advantages and disadvantages
of them. Finally, it presents the experience of teaching one of these contents in high
school, assessing their compatibility to the students intellectual level of the students
and showing some results of that.
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PEREIRA, P. G. Técnicas do cálculo numérico aplicadas no ensino médio. 2015. 66 f. Dissertaçã (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Instituto de Matemática e Estatística, Goiânia, 2015.