Uma introdução à curvas planas

Detalhes bibliográficos
Autor(a) principal: Gomes, Anderson de Azevedo
Data de Publicação: 2015
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
dARK ID: ark:/38995/0013000006rzm
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/6040
Resumo: Beginning with the concept plan and how it can be represented in a Vector Plan. Show the identity of vectors and the basic properties of the vector sum with examples and continue with the properties of the Scalar product and how to nd the Angle Between Vectors. After we nd the projection vectors and the distance between a point and a Straight. In the next chapter, I review on Conic Sections. Tract of Ellipse, after Hyperbole and analyze talking about the parable and its utilities. In sequence, show the Parametric equations of a curve. Come to a formula of how to nd a tangent vector and how to nd the length of an arc. Show the usefulness of the Frenet formulas and do the Fundamental Theorem of Plane Curves and their utilities. To end tract Importance of Mathematics in Primary Education with a little history of Dynamic Geometry Software and Software Geogebra, showing how to make some charts in GeoGebra. My goal is to show the beauty of mathematics and attract people to the area.
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spelling Melo, Maurilio Márciohttp://lattes.cnpq.br/9171320863927413Melo, Maurilio Márciohttp://lattes.cnpq.br/9171320863927413Souza, Flávio Raimundo deSouza, Mário José deGomes, Anderson de Azevedo2016-08-30T20:00:30Z2015-11-06GOMES, Anderson de Azevedo. Uma introdução à curvas planas. 2015. 79 f. Dissertação (Mestrado profissional em matemática) - Universidade Federal de Goiás, Goiânia, 2015.http://repositorio.bc.ufg.br/tede/handle/tede/6040ark:/38995/0013000006rzmBeginning with the concept plan and how it can be represented in a Vector Plan. Show the identity of vectors and the basic properties of the vector sum with examples and continue with the properties of the Scalar product and how to nd the Angle Between Vectors. After we nd the projection vectors and the distance between a point and a Straight. In the next chapter, I review on Conic Sections. Tract of Ellipse, after Hyperbole and analyze talking about the parable and its utilities. In sequence, show the Parametric equations of a curve. Come to a formula of how to nd a tangent vector and how to nd the length of an arc. Show the usefulness of the Frenet formulas and do the Fundamental Theorem of Plane Curves and their utilities. To end tract Importance of Mathematics in Primary Education with a little history of Dynamic Geometry Software and Software Geogebra, showing how to make some charts in GeoGebra. My goal is to show the beauty of mathematics and attract people to the area.Começo com o conceito de Plano e como pode ser representado um Vetor no Plano. Mostro a identidade de vetores e as propriedades básicas da soma de vetores com exemplos e continuo com as propriedades do Produto Escalar e como encontrar o Ângulo entre os vetores. Depois, encontramos a projeção de vetores e a distância entre um ponto e uma reta. No próximo capítulo, faço uma revisão sobre as Seções Cônicas. Começo falando da Elipse, depois da Hipérbole e nalizo falando da Parábola e suas utilidades. Em sequência, mostro as Equações Paramétricas de uma curva. Chego a uma fórmula de como encontrar um Vetor Tangente e como encontrar o Comprimento de um Arco. Mostro a utilidade das Fórmulas de Frenet e faço o Teorema Fundamental das Curvas Planas e suas utilidades. Finalizo mostrando como fazer alguns grá cos no GeoGebra e da Importância da Matemática na Formação Básica com um pouco de História dos Softwares de Geometria Dinâmica. Meu objetivo é mostrar a beleza da matemática e atrair pessoas para essa área.Submitted by Jaqueline Silva (jtas29@gmail.com) on 2016-08-30T20:00:18Z No. of bitstreams: 2 Dissertação - Anderson de Azevedo Gomes - 2015.pdf: 2449743 bytes, checksum: 3ff7d4c2fbea731994b5df9da8e7311d (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Jaqueline Silva (jtas29@gmail.com) on 2016-08-30T20:00:30Z (GMT) No. of bitstreams: 2 Dissertação - Anderson de Azevedo Gomes - 2015.pdf: 2449743 bytes, checksum: 3ff7d4c2fbea731994b5df9da8e7311d (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2016-08-30T20:00:30Z (GMT). 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dc.title.por.fl_str_mv Uma introdução à curvas planas
dc.title.alternative.eng.fl_str_mv An introduction to curves planas
title Uma introdução à curvas planas
spellingShingle Uma introdução à curvas planas
Gomes, Anderson de Azevedo
Vetores
Cônicas
Curvas
Referencial de Frenet
Vectors
Conic
Curves
Frenet Formulas
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Uma introdução à curvas planas
title_full Uma introdução à curvas planas
title_fullStr Uma introdução à curvas planas
title_full_unstemmed Uma introdução à curvas planas
title_sort Uma introdução à curvas planas
author Gomes, Anderson de Azevedo
author_facet Gomes, Anderson de Azevedo
author_role author
dc.contributor.advisor1.fl_str_mv Melo, Maurilio Márcio
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/9171320863927413
dc.contributor.referee1.fl_str_mv Melo, Maurilio Márcio
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/9171320863927413
dc.contributor.referee2.fl_str_mv Souza, Flávio Raimundo de
dc.contributor.referee3.fl_str_mv Souza, Mário José de
dc.contributor.author.fl_str_mv Gomes, Anderson de Azevedo
contributor_str_mv Melo, Maurilio Márcio
Melo, Maurilio Márcio
Souza, Flávio Raimundo de
Souza, Mário José de
dc.subject.por.fl_str_mv Vetores
Cônicas
Curvas
Referencial de Frenet
topic Vetores
Cônicas
Curvas
Referencial de Frenet
Vectors
Conic
Curves
Frenet Formulas
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Vectors
Conic
Curves
Frenet Formulas
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description Beginning with the concept plan and how it can be represented in a Vector Plan. Show the identity of vectors and the basic properties of the vector sum with examples and continue with the properties of the Scalar product and how to nd the Angle Between Vectors. After we nd the projection vectors and the distance between a point and a Straight. In the next chapter, I review on Conic Sections. Tract of Ellipse, after Hyperbole and analyze talking about the parable and its utilities. In sequence, show the Parametric equations of a curve. Come to a formula of how to nd a tangent vector and how to nd the length of an arc. Show the usefulness of the Frenet formulas and do the Fundamental Theorem of Plane Curves and their utilities. To end tract Importance of Mathematics in Primary Education with a little history of Dynamic Geometry Software and Software Geogebra, showing how to make some charts in GeoGebra. My goal is to show the beauty of mathematics and attract people to the area.
publishDate 2015
dc.date.issued.fl_str_mv 2015-11-06
dc.date.accessioned.fl_str_mv 2016-08-30T20:00:30Z
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 GOMES, Anderson de Azevedo. Uma introdução à curvas planas. 2015. 79 f. Dissertação (Mestrado profissional em matemática) - Universidade Federal de Goiás, Goiânia, 2015.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/6040
dc.identifier.dark.fl_str_mv ark:/38995/0013000006rzm
identifier_str_mv GOMES, Anderson de Azevedo. Uma introdução à curvas planas. 2015. 79 f. Dissertação (Mestrado profissional em matemática) - Universidade Federal de Goiás, Goiânia, 2015.
ark:/38995/0013000006rzm
url http://repositorio.bc.ufg.br/tede/handle/tede/6040
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language por
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dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
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