Uma abordagem de sistemas lineares usando o Maxima e o Scilab
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/7585 |
Resumo: | This dissertation address the use of mathematical software Scilab and Maxima as instruments of study and teaching of linear systems. Initially, it is presented an introductory study on: Linear Algebra, linear systems and some method applied to solve linear systems. Following, it is used Scilab to solve possible and determined systems and it is applied Maxima to calculate determinants of matrices of order higher than three to solve possible and indeterminate systems. In the end,it is presented a approach on the solution of linear systems through of the graphical representation of their equations, starting in systems of two equations with graphs in the xOy plane and ending with systems of three equations with graphics on three-dimensional space, all of this assited by Scilab and Maxima. |
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Vieira, Ewerton Rochahttp://lattes.cnpq.br/9011778118531233Vieira, Ewerton RochaLima, Thaynara Arielly deSouza, Flávio Raimundo dehttp://lattes.cnpq.br/2220389996122801Silva, Messias Henrique Vieira2017-07-17T11:26:29Z2017-07-04SILVA, Messias Henrique Vieira. Uma abordagem de sistemas lineares usando o Maxima e o Scilab. 2017. 85 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/7585ark:/38995/001300000b2tmThis dissertation address the use of mathematical software Scilab and Maxima as instruments of study and teaching of linear systems. Initially, it is presented an introductory study on: Linear Algebra, linear systems and some method applied to solve linear systems. Following, it is used Scilab to solve possible and determined systems and it is applied Maxima to calculate determinants of matrices of order higher than three to solve possible and indeterminate systems. In the end,it is presented a approach on the solution of linear systems through of the graphical representation of their equations, starting in systems of two equations with graphs in the xOy plane and ending with systems of three equations with graphics on three-dimensional space, all of this assited by Scilab and Maxima.Esta dissertação trata da utilização dos softwares matemáticos Scilab e Maxima como instrumentos de estudo e ensino de sistemas lineares. Inicialmente, é apresentado um estudo introdutório a respeito da Álgebra Linear, dos tipos de sistemas lineares e de formas manuais de resolução. Em seguida, aborda-se a utilização do Scilab para resolver sistemas possíveis e determinados e do Maxima para calcular determinantes de matrizes de ordem superior a três e ainda resolver sistemas possíveis e indeterminados. Por fim, apresenta-se uma abordagem acerca da solução de sistemas lineares através da representação grá#ca de suas equações, começando em sistemas de duas equações com gráficos no plano xOy e encerrando com sistemas de três equações com gráficos no espaço tridimensional, tudo isso com a utilização do Scilab e do Maxima.Submitted by Cássia Santos (cassia.bcufg@gmail.com) on 2017-07-17T11:02:06Z No. of bitstreams: 2 Dissertação - Messias Henrique Vieira Silva - 2017.pdf: 5254101 bytes, checksum: a686ed3b5fe20282056da703d94dd863 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-07-17T11:26:29Z (GMT) No. of bitstreams: 2 Dissertação - Messias Henrique Vieira Silva - 2017.pdf: 5254101 bytes, checksum: a686ed3b5fe20282056da703d94dd863 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2017-07-17T11:26:29Z (GMT). No. of bitstreams: 2 Dissertação - Messias Henrique Vieira Silva - 2017.pdf: 5254101 bytes, checksum: a686ed3b5fe20282056da703d94dd863 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-07-04application/pdfporUniversidade Federal de GoiásPROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessSistemas linearesMatrizesSoftwares matemáticosMaximaScilabLinear systemsMatricesMathematical softwaresMaximaScilabCIENCIAS EXATAS E DA TERRA::MATEMATICAUma abordagem de sistemas lineares usando o Maxima e o ScilabAn approach of linear systems using Maxima and Scilabinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis4280721485626151024600600600-4268777512335152015-7090823417984401694reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGCC-LICENSElicense_urllicense_urltext/plain; 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dc.title.eng.fl_str_mv |
Uma abordagem de sistemas lineares usando o Maxima e o Scilab |
dc.title.alternative.eng.fl_str_mv |
An approach of linear systems using Maxima and Scilab |
title |
Uma abordagem de sistemas lineares usando o Maxima e o Scilab |
spellingShingle |
Uma abordagem de sistemas lineares usando o Maxima e o Scilab Silva, Messias Henrique Vieira Sistemas lineares Matrizes Softwares matemáticos Maxima Scilab Linear systems Matrices Mathematical softwares Maxima Scilab CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Uma abordagem de sistemas lineares usando o Maxima e o Scilab |
title_full |
Uma abordagem de sistemas lineares usando o Maxima e o Scilab |
title_fullStr |
Uma abordagem de sistemas lineares usando o Maxima e o Scilab |
title_full_unstemmed |
Uma abordagem de sistemas lineares usando o Maxima e o Scilab |
title_sort |
Uma abordagem de sistemas lineares usando o Maxima e o Scilab |
author |
Silva, Messias Henrique Vieira |
author_facet |
Silva, Messias Henrique Vieira |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Vieira, Ewerton Rocha |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/9011778118531233 |
dc.contributor.referee1.fl_str_mv |
Vieira, Ewerton Rocha |
dc.contributor.referee2.fl_str_mv |
Lima, Thaynara Arielly de |
dc.contributor.referee3.fl_str_mv |
Souza, Flávio Raimundo de |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/2220389996122801 |
dc.contributor.author.fl_str_mv |
Silva, Messias Henrique Vieira |
contributor_str_mv |
Vieira, Ewerton Rocha Vieira, Ewerton Rocha Lima, Thaynara Arielly de Souza, Flávio Raimundo de |
dc.subject.por.fl_str_mv |
Sistemas lineares Matrizes Softwares matemáticos Maxima Scilab |
topic |
Sistemas lineares Matrizes Softwares matemáticos Maxima Scilab Linear systems Matrices Mathematical softwares Maxima Scilab CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Linear systems Matrices Mathematical softwares Maxima Scilab |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
This dissertation address the use of mathematical software Scilab and Maxima as instruments of study and teaching of linear systems. Initially, it is presented an introductory study on: Linear Algebra, linear systems and some method applied to solve linear systems. Following, it is used Scilab to solve possible and determined systems and it is applied Maxima to calculate determinants of matrices of order higher than three to solve possible and indeterminate systems. In the end,it is presented a approach on the solution of linear systems through of the graphical representation of their equations, starting in systems of two equations with graphs in the xOy plane and ending with systems of three equations with graphics on three-dimensional space, all of this assited by Scilab and Maxima. |
publishDate |
2017 |
dc.date.accessioned.fl_str_mv |
2017-07-17T11:26:29Z |
dc.date.issued.fl_str_mv |
2017-07-04 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
SILVA, Messias Henrique Vieira. Uma abordagem de sistemas lineares usando o Maxima e o Scilab. 2017. 85 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2017. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/7585 |
dc.identifier.dark.fl_str_mv |
ark:/38995/001300000b2tm |
identifier_str_mv |
SILVA, Messias Henrique Vieira. Uma abordagem de sistemas lineares usando o Maxima e o Scilab. 2017. 85 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2017. ark:/38995/001300000b2tm |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/7585 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.program.fl_str_mv |
4280721485626151024 |
dc.relation.confidence.fl_str_mv |
600 600 600 |
dc.relation.department.fl_str_mv |
-4268777512335152015 |
dc.relation.cnpq.fl_str_mv |
-7090823417984401694 |
dc.rights.driver.fl_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ |
eu_rights_str_mv |
openAccess |
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application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Goiás |
dc.publisher.program.fl_str_mv |
PROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME) |
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 |
dc.source.none.fl_str_mv |
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