{"id":391,"date":"2015-03-09T19:13:34","date_gmt":"2015-03-09T22:13:34","guid":{"rendered":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/?page_id=391"},"modified":"2015-03-09T19:13:34","modified_gmt":"2015-03-09T22:13:34","slug":"algebra-linear-ii","status":"publish","type":"page","link":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/disciplinas-optativas\/algebra-linear-ii\/","title":{"rendered":"\u00c1lgebra Linear II"},"content":{"rendered":"

\u00c1lgebra Linear II<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Curso<\/td>\nLicenciatura em Matem\u00e1tica<\/td>\n<\/tr>\n
Disciplina<\/td>\n\u00c1lgebra Linear II<\/td>\n<\/tr>\n
Car\u00e1ter<\/td>\nOptativa<\/td>\n<\/tr>\n
Pr\u00e9-requisito<\/td>\n–<\/td>\n<\/tr>\n
C\u00f3digo<\/td>\n0100171<\/td>\n<\/tr>\n
Depto.<\/td>\nDME<\/td>\n<\/tr>\n
CHT<\/td>\n68 horas<\/td>\n<\/tr>\n
Cr\u00e9ditos<\/td>\n04<\/td>\n<\/tr>\n
Natureza<\/td>\n34 te\u00f3ricas \/ 34 Pr\u00e1ticas<\/td>\n<\/tr>\n
Prof. Resp.<\/td>\n<\/td>\n<\/tr>\n
Objetivos<\/td>\n\n

O aluno dever\u00e1:<\/p>\n

Desenvolver o h\u00e1bito do uso de aplica\u00e7\u00f5es lineares de espa\u00e7os vetoriais de dimens\u00e3o finita no tratamento de fatos matem\u00e1ticos de \u00edndole linear;<\/p>\n

Adquirir desembara\u00e7o no tratamento de problemas que envolvam os conceitos fundamentais de \u00c1lgebra Linear.<\/p>\n

 <\/td>\n<\/tr>\n

Ementa<\/td>\nEspa\u00e7os com Produto Interno. Transforma\u00e7\u00e3o autoadjunta. Transforma\u00e7\u00f5es unit\u00e1rias. Formas Can\u00f4nicas. Formas bilineares e quadr\u00e1ticas. Identifica\u00e7\u00e3o de c\u00f4nicas e qu\u00e1dricas.<\/td>\n<\/tr>\n
Programa<\/td>\n\n

Produto Interno<\/p>\n

– Introdu\u00e7\u00e3o;<\/p>\n

– Coeficientes de Fourier;<\/p>\n

– Norma;<\/p>\n

– Processo de ortogonaliza\u00e7\u00e3o;<\/p>\n

– Complemento ortogonal;<\/p>\n

– Espa\u00e7os vetoriais Complexos;<\/p>\n

— Aplica\u00e7\u00f5es;<\/p>\n

 <\/p>\n

Tipos Especiais de Operadores Lineares<\/p>\n

– Introdu\u00e7\u00e3o;<\/p>\n

– Operadores auto-adjuntos e ortogonais;<\/p>\n

– Diagonaliza\u00e7\u00e3o;<\/p>\n

 <\/p>\n

 <\/p>\n

Formas Lineares, Bilineares e Quadr\u00e1ticas<\/p>\n

– Formas lineares;<\/p>\n

– Formas bilineares;<\/p>\n

– Matriz de uma forma bilinear;<\/p>\n

– Forma bilinear sim\u00e9trica;<\/p>\n

– Formas Quadr\u00e1ticas;<\/p>\n

– Diagonaliza\u00e7\u00e3o da forma quadr\u00e1tica.<\/p>\n

 <\/p>\n

Classifica\u00e7\u00e3o de C\u00f4nicas e Qu\u00e1dricas<\/p>\n

– Introdu\u00e7\u00e3o;<\/p>\n

– Retas no plano;<\/p>\n

– Planos no espa\u00e7o;<\/p>\n

– C\u00f4nicas no plano;<\/p>\n

– Qu\u00e1dricas em R3.<\/p>\n

 <\/p>\n

 <\/td>\n<\/tr>\n

Bibliografia<\/td>\n\n

B\u00e1sica<\/p>\n

BOLDRINI, J.L.; S.I.R. ; WETZLER, H.G. \u00c1lgebra linear. 3.ed. Harper e Row do Brasil: 1978.<\/p>\n

CALLIOLI C. A., DOMINGUES H.H., COSTA, R.C.D. \u00c1lgebra linear e aplica\u00e7\u00f5es. 4.ed. S\u00e3o Pulo: Atual, 1983.<\/p>\n

Hoffman, K. e Kunze, R., \u00c1lgebra Linear, 2\u00aa ed. Livros T\u00e9cnicos e Cient\u00edficos, Rio de Janeiro, RJ, 1979<\/p>\n

 <\/p>\n

Complementar<\/p>\n

LIPSCHUTZ, Seymour. \u00c1lgebra linear. 2.ed. S\u00e3o Paulo: Mc Graw-Hill, 1972.<\/p>\n

STEINBRUCH, Alfredo., \u00c1lgebra linear. 2.ed. S\u00e3o Paulo: Makron, l987.<\/p>\n

Strang, G., Linear Algebra and its Applications, 3\u00aa ed. Harcourt Brace Jovanovich, Orlando, FL, 1988.<\/p>\n

 <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

\u00c1lgebra Linear II Curso Licenciatura em Matem\u00e1tica Disciplina \u00c1lgebra Linear II Car\u00e1ter Optativa Pr\u00e9-requisito – C\u00f3digo 0100171 Depto. DME CHT 68 horas Cr\u00e9ditos 04 Natureza 34 te\u00f3ricas \/ 34 Pr\u00e1ticas Prof. Resp. Objetivos O aluno dever\u00e1: Desenvolver o h\u00e1bito do uso de aplica\u00e7\u00f5es lineares de espa\u00e7os vetoriais de dimens\u00e3o finita no tratamento de fatos matem\u00e1ticos […]<\/p>\n","protected":false},"author":466,"featured_media":0,"parent":363,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-sem-sidebar.php","meta":{"footnotes":""},"class_list":["post-391","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P7sk8J-6j","_links":{"self":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/391","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=391"}],"version-history":[{"count":1,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/391\/revisions"}],"predecessor-version":[{"id":392,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/391\/revisions\/392"}],"up":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/pages\/363"}],"wp:attachment":[{"href":"https:\/\/wp.ufpel.edu.br\/matematicanoturno\/wp-json\/wp\/v2\/media?parent=391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}