Raiz de função polinomial pelo método de Newton-Raphson

Detalhes bibliográficos
Autor(a) principal: Silva, Renato de Sousa e
Data de Publicação: 2018
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
dARK ID: ark:/38995/001300000f13n
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/8735
Resumo: Determining roots of polynomial functions is a quite frequent content in the subject of Mathematics in Primary and Higher Education. But Galois has shown that it is not possible to develop algebraic formulas to find such roots in polynomials with a degree greater than 4. The present work aims to use Newton-Raphson’s Numerical and Iterative method to find roots of polynomial function. For this, the GeoGebra software is used as a computational and pedagogical tool to illustrate the procedure adopted by the mentioned method through spreadsheets, Geometry and algebraic calculations. Thus, the proposed methodology can help in the understanding of the Newton-Raphson Method and contribute to the process of teaching and learning the content of polynomials for teachers and students of Basic Education.
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spelling Rodrigues, Paulo Henrique de Azevedohttp://lattes.cnpq.br/8910130626123426Rodrigues, Paulo Henrique de AzevedoSouza, Flávio Raimundo deSantos, Ronaldo Antônio doshttp://lattes.cnpq.br/7911057390921183Silva, Renato de Sousa e2018-07-26T10:43:33Z2018-07-10SILVA, Renato de Sousa. Raiz de função polinomial pelo método de Newton-Raphson. 2018. 73 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2018.http://repositorio.bc.ufg.br/tede/handle/tede/8735ark:/38995/001300000f13nDetermining roots of polynomial functions is a quite frequent content in the subject of Mathematics in Primary and Higher Education. But Galois has shown that it is not possible to develop algebraic formulas to find such roots in polynomials with a degree greater than 4. The present work aims to use Newton-Raphson’s Numerical and Iterative method to find roots of polynomial function. For this, the GeoGebra software is used as a computational and pedagogical tool to illustrate the procedure adopted by the mentioned method through spreadsheets, Geometry and algebraic calculations. Thus, the proposed methodology can help in the understanding of the Newton-Raphson Method and contribute to the process of teaching and learning the content of polynomials for teachers and students of Basic Education.Determinar raízes de funções polinomiais é um conteúdo bastante frequente na disciplina de Matemática do Ensino Básico e Superior. Mas, Galois demonstrou que não é possível desenvolver fórmulas algébricas para encontrar tais raízes em polinômios com grau maior que 4. Então o presente trabalho tem o objetivo de utilizar o Método Numérico e Iterativo de Newton-Raphson para encontrar raízes de função polinomial. Para isto, utiliza-se o software GeoGebra como ferramenta computacional e pedagógica para ilustrar o procedimento adotado pelo método citado por meio de planilhas eletrônicas, da Geometria e de cálculos algébricos. Assim, a metodologia proposta pode auxiliar na compreensão do Método de Newton-Raphson e colaborar para o processo de ensino e aprendizagem do conteúdo de polinômios para professores e alunos do Ensino Básico.Submitted by Franciele Moreira (francielemoreyra@gmail.com) on 2018-07-25T14:02:43Z No. of bitstreams: 2 Dissertação - Renato de Sousa e Silva - 2018.pdf: 2985862 bytes, checksum: 893b26d388119df4da6d373c1ce19d3b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-07-26T10:43:33Z (GMT) No. of bitstreams: 2 Dissertação - Renato de Sousa e Silva - 2018.pdf: 2985862 bytes, checksum: 893b26d388119df4da6d373c1ce19d3b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2018-07-26T10:43:33Z (GMT). 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dc.title.eng.fl_str_mv Raiz de função polinomial pelo método de Newton-Raphson
dc.title.alternative.eng.fl_str_mv Polynomial function root by Newton-Raphson method
title Raiz de função polinomial pelo método de Newton-Raphson
spellingShingle Raiz de função polinomial pelo método de Newton-Raphson
Silva, Renato de Sousa e
Polinômio
Método de Newton-Raphson
GeoGebra
Polynomial
Newton-Raphson method
GeoGebra
MATEMATICA::ALGEBRA
title_short Raiz de função polinomial pelo método de Newton-Raphson
title_full Raiz de função polinomial pelo método de Newton-Raphson
title_fullStr Raiz de função polinomial pelo método de Newton-Raphson
title_full_unstemmed Raiz de função polinomial pelo método de Newton-Raphson
title_sort Raiz de função polinomial pelo método de Newton-Raphson
author Silva, Renato de Sousa e
author_facet Silva, Renato de Sousa e
author_role author
dc.contributor.advisor1.fl_str_mv Rodrigues, Paulo Henrique de Azevedo
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8910130626123426
dc.contributor.referee1.fl_str_mv Rodrigues, Paulo Henrique de Azevedo
dc.contributor.referee2.fl_str_mv Souza, Flávio Raimundo de
dc.contributor.referee3.fl_str_mv Santos, Ronaldo Antônio dos
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/7911057390921183
dc.contributor.author.fl_str_mv Silva, Renato de Sousa e
contributor_str_mv Rodrigues, Paulo Henrique de Azevedo
Rodrigues, Paulo Henrique de Azevedo
Souza, Flávio Raimundo de
Santos, Ronaldo Antônio dos
dc.subject.por.fl_str_mv Polinômio
Método de Newton-Raphson
GeoGebra
topic Polinômio
Método de Newton-Raphson
GeoGebra
Polynomial
Newton-Raphson method
GeoGebra
MATEMATICA::ALGEBRA
dc.subject.eng.fl_str_mv Polynomial
Newton-Raphson method
GeoGebra
dc.subject.cnpq.fl_str_mv MATEMATICA::ALGEBRA
description Determining roots of polynomial functions is a quite frequent content in the subject of Mathematics in Primary and Higher Education. But Galois has shown that it is not possible to develop algebraic formulas to find such roots in polynomials with a degree greater than 4. The present work aims to use Newton-Raphson’s Numerical and Iterative method to find roots of polynomial function. For this, the GeoGebra software is used as a computational and pedagogical tool to illustrate the procedure adopted by the mentioned method through spreadsheets, Geometry and algebraic calculations. Thus, the proposed methodology can help in the understanding of the Newton-Raphson Method and contribute to the process of teaching and learning the content of polynomials for teachers and students of Basic Education.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-07-26T10:43:33Z
dc.date.issued.fl_str_mv 2018-07-10
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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status_str publishedVersion
dc.identifier.citation.fl_str_mv SILVA, Renato de Sousa. Raiz de função polinomial pelo método de Newton-Raphson. 2018. 73 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2018.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/8735
dc.identifier.dark.fl_str_mv ark:/38995/001300000f13n
identifier_str_mv SILVA, Renato de Sousa. Raiz de função polinomial pelo método de Newton-Raphson. 2018. 73 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2018.
ark:/38995/001300000f13n
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publisher.none.fl_str_mv Universidade Federal de Goiás
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