{"id":199,"date":"2010-05-09T19:34:44","date_gmt":"2010-05-09T22:34:44","guid":{"rendered":"http:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/?page_id=199"},"modified":"2020-08-03T10:55:53","modified_gmt":"2020-08-03T13:55:53","slug":"metodos-matematicos","status":"publish","type":"page","link":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/?page_id=199","title":{"rendered":"M\u00e9todos Matem\u00e1ticos"},"content":{"rendered":"<p><\/p>\n<h4>C\u00f3digo: AL5007<\/h4>\n<h4>Obrigat\u00f3ria: n\u00e3o<\/h4>\n<h4>Carga-hor\u00e1ria: 60h<\/h4>\n<h4>Cr\u00e9ditos: 4<\/h4>\n<h4><strong>Ementa:<\/strong><\/h4>\n<div class=\"page\" title=\"Page 46\">\n<div class=\"section\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p>Teoria geral das equa\u00e7\u00f5es diferenciais ordin\u00e1rias: operador diferencial linear; Equa\u00e7\u00f5es diferenciais ordin\u00e1rias lineares: primeira ordem, exist\u00e2ncia e unicidade de solu\u00e7\u00e3o, wronskiano; Equa\u00e7\u00f5es homog\u00eaneas e n\u00e3o homog\u00eaneas: m\u00e9todos usuais de solu\u00e7\u00e3o, solu\u00e7\u00e3o por s\u00e9rie de pot\u00eancias; Transformada de Laplace; Espa\u00e7os euclidianos: produto interno, norma, ortogonalidade, converg\u00eancia; S\u00e9ries de Fourier; Converg\u00eancia das S\u00e9ries de Fourier; S\u00e9ries em polin\u00f4mios ortogonais: polin\u00f4mios de Legendre, polin\u00f4mios de Hermite, polin\u00f4mios de Laguerre; Problemas de contorno para EDO: autovalores e autovetores, operadores auto-adjuntos e problema de Sturm-Liouville, desenvolvimento em s\u00e9rie, ortogonalidade e fun\u00e7\u00e3o peso; Equa\u00e7\u00f5es diferenciais parciais: tipos cl\u00e1ssicos, separa\u00e7\u00e3o de vari\u00e1veis, equa\u00e7\u00e3o do calor, equa\u00e7\u00e3o de Laplace; outras aplica\u00e7\u00f5es; Problema de valor de contorno envolvendo fun\u00e7\u00f5es de Bessel.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h4>Bibliografia:<\/h4>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li>ARFKEN G.; WEBER H. M\u00e9todos Matem\u00e1ticos para Engenharia e F\u00edsica. [s.l.]: Editora Elsevier, 2007.<\/li>\n<li>BOYCE, W. E.; DIPRIMA, R. C. Equac\u0327o\u0303es Diferenciais Elementares e Problemas de Contorno, 8a ed., Rio de janeiro: LTC, 2006.<\/li>\n<li>O&#8217;NEIL, P. V. Advanced Engineering Mathematics, Boston: PWS-Kent Publishing Company, 1995.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>C\u00f3digo: AL5007 Obrigat\u00f3ria: n\u00e3o Carga-hor\u00e1ria: 60h Cr\u00e9ditos: 4 Ementa: Teoria geral das equa\u00e7\u00f5es diferenciais ordin\u00e1rias: operador diferencial linear; Equa\u00e7\u00f5es diferenciais ordin\u00e1rias lineares: primeira ordem, exist\u00e2ncia e unicidade de solu\u00e7\u00e3o, wronskiano; Equa\u00e7\u00f5es homog\u00eaneas e n\u00e3o homog\u00eaneas: m\u00e9todos usuais de solu\u00e7\u00e3o, solu\u00e7\u00e3o por s\u00e9rie de pot\u00eancias; Transformada de Laplace; Espa\u00e7os euclidianos: produto interno, norma, ortogonalidade, converg\u00eancia; S\u00e9ries &hellip; <a href=\"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/?page_id=199\" class=\"more-link\">Continue lendo <span class=\"screen-reader-text\">M\u00e9todos Matem\u00e1ticos<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":182,"featured_media":0,"parent":2013,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=\/wp\/v2\/pages\/199"}],"collection":[{"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=\/wp\/v2\/users\/182"}],"replies":[{"embeddable":true,"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=199"}],"version-history":[{"count":4,"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=\/wp\/v2\/pages\/199\/revisions"}],"predecessor-version":[{"id":2027,"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=\/wp\/v2\/pages\/199\/revisions\/2027"}],"up":[{"embeddable":true,"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=\/wp\/v2\/pages\/2013"}],"wp:attachment":[{"href":"https:\/\/cursos.unipampa.edu.br\/cursos\/ppgee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=199"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}