{"id":202,"date":"2014-12-01T19:57:35","date_gmt":"2014-12-01T21:57:35","guid":{"rendered":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/?page_id=202"},"modified":"2015-01-12T13:31:24","modified_gmt":"2015-01-12T15:31:24","slug":"algebra-linear-i","status":"publish","type":"page","link":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/grade-curricular-2\/algebra-linear-i\/","title":{"rendered":"\u00c1lgebra Linear I"},"content":{"rendered":"<h4>\u00c1lgebra Linear I<\/h4>\n<p>&nbsp;<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"101\">Curso\/semestre<\/td>\n<td width=\"536\">Licenciatura em Matem\u00e1tica \/ Terceiro<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Disciplina<\/td>\n<td width=\"536\">\u00c1lgebra Linear I<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Car\u00e1ter<\/td>\n<td width=\"536\">ACA \u2013 Obrigat\u00f3rio<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Pr\u00e9-requisito<\/td>\n<td width=\"536\">Geometria Anal\u00edtica (0100100 )<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">C\u00f3digo<\/td>\n<td width=\"536\">0100170<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Depto.<\/td>\n<td width=\"536\">DME<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">CHT<\/td>\n<td width=\"536\">68 horas<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Cr\u00e9ditos<\/td>\n<td width=\"536\">04<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Natureza<\/td>\n<td width=\"536\">34 te\u00f3ricas \/ 34 pr\u00e1ticas<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Prof. Resp.<\/td>\n<td width=\"536\"><\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Objetivos<\/td>\n<td width=\"536\">Desenvolver os conceitos fundamentais da \u00c1lgebra Linear, explorando o ganho de maturidade matem\u00e1tica e aplicabilidade que eles propiciam. Habilitar o estudante para a compreens\u00e3o e utiliza\u00e7\u00e3o de m\u00e9todos b\u00e1sicos necess\u00e1rios \u00e0 resolu\u00e7\u00e3o de problemas t\u00e9cnicos, que podem ser modelados matematicamente.<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Ementa<\/td>\n<td width=\"536\">\n<p>Solu\u00e7\u00e3o de sistemas lineares. Matrizes e Determinantes. Espa\u00e7os vetoriais. Transforma\u00e7\u00f5es lineares. Matriz de uma transforma\u00e7\u00e3o. Autovalores e autovetores.<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Programa<\/td>\n<td width=\"536\">\n<p>Matrizes<\/p>\n<p>\u00c1lgebra Matricial<\/p>\n<p>Tipos Especiais de Matrizes<\/p>\n<p>&nbsp;<\/p>\n<p>Sistemas de Equa\u00e7\u00f5es Lineares<\/p>\n<p>Sistemas de Equa\u00e7\u00f5es Lineares e o M\u00e9todo de Elimina\u00e7\u00e3o<\/p>\n<p>Opera\u00e7\u00f5es Elementares e Linha-equival\u00eancia<\/p>\n<p>Matrizes escalonadas e Posto de uma matriz<\/p>\n<p>Discuss\u00e3o de Sistemas Lineares<\/p>\n<p>Matrizes Elementares e Matrizes Invers\u00edveis<\/p>\n<p>Determinante: Defini\u00e7\u00e3o<\/p>\n<p>Determinantes: propriedade e aplica\u00e7\u00f5es<\/p>\n<p>Determinante e uma abordagem alternativa para o Posto<\/p>\n<p>&nbsp;<\/p>\n<p>Espa\u00e7o Vetorial<\/p>\n<p>Vetores no Plano e no Espa\u00e7o<\/p>\n<p>O Produto Escalar e a Norma Euclidiana<\/p>\n<p>Retas e Hiperplanos<\/p>\n<p>Subespa\u00e7os<\/p>\n<p>Depend\u00eancia e Independ\u00eancia Linear<\/p>\n<p>Bases e Dimens\u00e3o<\/p>\n<p>Posto, Espa\u00e7o Linha e Espa\u00e7o Coluna de matrizes<\/p>\n<p>Mudan\u00e7a de Base<\/p>\n<p>Normas de Vetores<\/p>\n<p>&nbsp;<\/p>\n<p>Transforma\u00e7\u00f5es Lineares<\/p>\n<p>Defini\u00e7\u00f5es e Exemplos<\/p>\n<p>N\u00facleo e Imagem<\/p>\n<p>\u00c1lgebra das Transforma\u00e7\u00f5es<\/p>\n<p>Matrizes de uma Transforma\u00e7\u00e3o Linear<\/p>\n<p>Operadores Lineares<\/p>\n<p>&nbsp;<\/p>\n<p>Autovalores e Autovetores<\/p>\n<p>Defini\u00e7\u00f5es e Exemplos<\/p>\n<p>Polin\u00f4mio Caracter\u00edstico<\/p>\n<p>Diagonaliza\u00e7\u00e3o de Matrizes<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td width=\"101\">Bibliografia<\/td>\n<td width=\"536\">\n<p>B\u00e1sica<\/p>\n<p>Boldrini, J. L. et al. \u00c1lgebra Linear, 3\u00aa ed., Harbra, S\u00e3o Paulo, SP. 1984.<\/p>\n<p>Lay, D. \u00c1lgebra Linear e suas aplica\u00e7\u00f5es. 2\u00aa Ed. LTC. 2007.<\/p>\n<p>Anton, H. \u00c1lgebra Linear Contempor\u00e2nea. Ed Bookman.<\/p>\n<p>Lima, E.L., Algebra Linear, IMPA\/CNPq, Rio de Janeiro, RJ, 1995.<\/p>\n<p>&nbsp;<\/p>\n<p>Complementar<\/p>\n<p>Lipschutz, S. \u00c1lgebra Linear, 3\u00aa ed. Makron Books, S\u00e3o Paulo, SP. 1994.<\/p>\n<p>Noble, B. e Daniel, J. W., \u00c1lgebra Linear Aplicada, 2\u00aa ed. Prentice Hall do Brasil, Rio de Janeiro, RJ, 1986.<\/p>\n<p>Hoffman, K. e Kunze, R., \u00c1lgebra Linear, 2\u00aa ed. Livros T\u00e9cnicos e Cient\u00edficos, Rio de Janeiro, RJ, 1979<\/p>\n<p>Strang, G., Linear Algebra and its Applications, 3\u00aa ed. Harcourt Brace Jovanovich, Orlando, FL, 1988.<\/p>\n<p>Carvalho, J. Pitombeira de, \u00c1lgebra Linear: introdu\u00e7\u00e3o, Livros T\u00e9cnicos e Cient\u00edficos, Rio de Janeiro, RJ, 1977.<\/p>\n<p>HERSTEIN, I. N. T\u00f3picos de \u00c1lgebra. S\u00e3o Paulo, Pol\u00edgono, 1970.<\/p>\n<p>STEINBRUCH, Alfredo &amp; WINTERLE, Paulo. \u00c1lgebra Linear. 2. ed. S\u00e3o Paulo, McGraw-Hill, 1987.<\/p>\n<p>DEMIDOVICH, B. P. &amp; MARON, I. A. Computational Mathematics. English Translation. Mir Publishers, 1987.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c1lgebra Linear I &nbsp; Curso\/semestre Licenciatura em Matem\u00e1tica \/ Terceiro Disciplina \u00c1lgebra Linear I Car\u00e1ter ACA \u2013 Obrigat\u00f3rio Pr\u00e9-requisito Geometria Anal\u00edtica (0100100 ) C\u00f3digo 0100170 Depto. DME CHT 68 horas Cr\u00e9ditos 04 Natureza 34 te\u00f3ricas \/ 34 pr\u00e1ticas Prof. Resp. Objetivos Desenvolver os conceitos fundamentais da \u00c1lgebra Linear, explorando o ganho de maturidade matem\u00e1tica e [&hellip;]<\/p>\n","protected":false},"author":466,"featured_media":0,"parent":166,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-sem-sidebar.php","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-202","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P7sk8J-3g","_links":{"self":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/202","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/users\/466"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/comments?post=202"}],"version-history":[{"count":2,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/202\/revisions"}],"predecessor-version":[{"id":321,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/202\/revisions\/321"}],"up":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/166"}],"wp:attachment":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/media?parent=202"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}