Problema de otimização envolvendo a matemática do ensino médio
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2013-03-22
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Universidade Federal de Goiás
Resumo
Applied Mathematics is the branch of mathematics which deals with the application
of mathematical knowledge to solving problems in other areas and, in the current
curricula for secondary education in Brazil, it has not been as adequately explored as
it could be. Optimization, for instance, is one type of mathematical applications which
allows solving problems related to economy, management, engineering, transport and
logistics, among others and can be introduced, at a basic level, in secondary school.
With that in view, this work aims to present a few algebraic tools, accessible to the
secondary school student, that allow solving some interesting elementary optimization
problems. These tools include optimization of quadratic functions, discrete functions,
some continuous functions, as well as some applications of the inequality between
arithmetic and geometric means. The use of these methods is illustrated through
several examples, chosen in a way that shows the rich variety of problems that can
be solved with the seemingly basic tools presented. With this we aim at presenting
these topics, accessible to secondary education, in a novel and interesting way that is
attractive to students and, once assimilated, they can become powerful tools for solving
several problems, whether they come from the daily experience, from mathematical
olympics, or from exams.
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Rocha, Alan Martins - Problema de otimização envolvendo a matemática do ensino médio - 2013 - 52 f. - Dissertação - Programa de Pós-graduação em Matemática (IME) - Universidade Federal de Goiás - Goiânia - Goiás - Brasil.