{"id":103,"date":"2017-09-22T12:26:25","date_gmt":"2017-09-22T15:26:25","guid":{"rendered":"http:\/\/www.professores.uff.br\/almaraz\/?page_id=103"},"modified":"2019-12-29T10:56:16","modified_gmt":"2019-12-29T13:56:16","slug":"calculo-ii-b","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/almaraz\/calculo-ii-b\/","title":{"rendered":"C\u00e1lculo II-B"},"content":{"rendered":"<h3>2019.2<\/h3>\n<hr \/>\n<p><strong>Turma G1: <\/strong>3as e 5as, 11-13 horas, sala 405 bloco H\u00a0 da UFASA.<\/p>\n<p><strong>Turma I1: <\/strong>3as e 5as, 14-16 horas, <span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">sala 401 bloco H da UFASA.<\/span><\/p>\n<p><strong>Livro-texto: <\/strong><span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">James Stewart; <\/span><em>C\u00e1lculo, Vol.II<\/em><span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">; Cengage Learning<\/span>.<\/p>\n<p>Informa\u00e7\u00f5es sobre <strong>monitoria<\/strong> e outras informa\u00e7\u00f5es sobre o curso e podem ser encontradas no\u00a0site do GMA-Departamento de Matem\u00e1tica Aplicada (<a href=\"http:\/\/www.gma.uff.br\">link<\/a>).<\/p>\n<p><strong>Exerc\u00edcios <\/strong>sugeridos do livro de<strong> J. Stewart <\/strong>(7a edi<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">\u00e7\u00e3o<\/span>):<\/p>\n<p>Se<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">\u00e7<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">\u00e3o<\/span><\/span> <strong>13.1<\/strong>: 1, 3, 5, 7, 13, 15, 19, 21-26, 27, 29, 39, 41, 47.\u00a0 <span style=\"background-color: #ffffff\">S<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">e<\/span><\/span>\u00e7\u00e3o<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\"><strong> 13.2<\/strong>: 1, 3, 13, 17, 26, 27, 28, 34, 41, 49, 53, 54, 56. Se<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">\u00e7\u00e3o<\/span><strong> 14.1<\/strong>: 1, 3, 7, 11, 15, 19, 29, 32, 35, 36, 37, 39, 47, 51, 59-64, 65, 67, 69, 70. Se\u00e7\u00e3o<strong> 14.2 <\/strong>1,11, 13, 21, 25, 31, 37, 43, 44. Se\u00e7\u00e3o<strong> 14.3 <\/strong>1, 3, 5, 7, 10, 21, 33, 42, 52, 63, 73, 77, 78, 79, 83, 92, 93, 99, 101. Se\u00e7\u00e3o<strong> 14.4 <\/strong>1, 5, 11, 13, 19, 21, 23, 27, 31, 39, 41, 43, 45, 46. Se\u00e7\u00e3o<b> 14.5 <\/b>5, 11, 13, 15, 19, 25, 29, 33, 35, 37, 44, 47, 49, 55, 58, 59. Se\u00e7\u00e3o<b> 14.6<\/b> 1, 5, 9, 11, 18, 19, 23, 27, 29, 33, 35, 38, 39, 40, 43, 45, 55, 57, 62, 63, 67, 68. Se\u00e7\u00e3o<b> 14.<\/b><strong>7<\/strong> 1, 3, 7, 17, 19, 29, 31, 35, 41, 43, 49, 51, 53, 56. Se\u00e7\u00e3o<b> 14.<\/b><strong>8<\/strong> 1, 3, 4, 9, 11, 15, 17, 19, 22, 23, 27, 31, 33, 39, 47.<\/span><\/p>\n<p><strong>Datas das provas:<\/strong><\/p>\n<p><strong>1<sup>a <\/sup>VE<\/strong> &#8211; dia 26\/09\/2019 (Turma G1: <a href=\"https:\/\/www.dropbox.com\/s\/3u7idkqxf7kcxap\/Sergio%20VE1%20Calculo%20II-B%202019-2%20G1.pdf?dl=0\">pdf<\/a>, turma I1: <a href=\"https:\/\/www.dropbox.com\/s\/sv6ccl22lytk6ub\/Sergio%20VE1%20Calculo%20II-B%202019-2%20I1.pdf?dl=0\">pdf<\/a>) ;<\/p>\n<p><b>Conte\u00fado\u00a0b\u00e1sico esperado<\/b>:<\/p>\n<div>Fun\u00e7\u00f5es vetoriais de uma vari\u00e1vel defini\u00e7\u00e3o, interpreta\u00e7\u00e3o geom\u00e9trica, limite, continuidade e derivada.<br \/>Fun\u00e7\u00f5es reais de duas vari\u00e1veis: defini\u00e7\u00e3o, esbo\u00e7os de dom\u00ednio, gr\u00e1fico e curvas de n\u00edvel.<br \/>Fun\u00e7\u00f5es reais de tr\u00eas vari\u00e1veis: defini\u00e7\u00e3o, esbo\u00e7os de dom\u00ednio e superf\u00edcies de n\u00edvel.<br \/>Limite de fun\u00e7\u00f5es reais de v\u00e1rias vari\u00e1veis.<br \/>Continuidade.<br \/>Derivadas parciais, d<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">erivadas parciais de ordem superior.<\/span><br \/>Fun\u00e7\u00f5es diferenci\u00e1veis.<br \/>Plano tangente, diferencial, aproxima\u00e7\u00e3o linear.<\/div>\n<div>Regra da cadeia.<\/div>\n<div>\u00a0<\/div>\n<div><strong>Dias de aulas<\/strong>: 13(cancelada), 15, 20, 22, 27 e 29 de agosto; 3, 5, 10, 12, 17, 19 e 24 de setembro.\u00a0<\/div>\n<div>\u00a0<\/div>\n<div><strong>2<sup>a <\/sup>VE<\/strong><span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\"> &#8211; dia 03\/12\/2019 (Turma G1: <a href=\"https:\/\/www.dropbox.com\/s\/g5gnva3rp1zd77c\/Sergio%20VE2%20Calculo%20II-B%202019-2%20G1.pdf?dl=0\">pdf<\/a> , turma I1: <a href=\"https:\/\/www.dropbox.com\/s\/uup684q7ns3gdok\/Sergio%20VE2%20Calculo%20II-B%202019-2%20I1.pdf?dl=0\">pdf<\/a>)<\/span><\/div>\n<div><b>Conte\u00fado\u00a0b\u00e1sico esperado<\/b><span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">:<\/span><\/div>\n<div><span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">Defini\u00e7\u00e3o de vetor gradiente.\u00a0<\/span><\/div>\n<div>Rela\u00e7\u00e3o entre gradiente e curvas e superf\u00edcies de n\u00edvel.<br \/>Derivada direcional.\u00a0<\/div>\n<div>Rela\u00e7\u00e3o entre derivada direcional e gradiente.<br \/>Polin\u00f4mio de Taylor <span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">(n<\/span>\u00e3<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">o entra nas provas)<\/span>.<br \/>Pontos de m\u00e1ximos e m\u00ednimos.\u00a0<\/div>\n<div>Pontos cr\u00edticos e extremantes locais interiores.<br \/>Hessiana e extremantes locais interiores.\u00a0<\/div>\n<div>Pontos de m\u00e1ximo e m\u00ednimos em conjuntos compactos.<br \/>Multiplicadores de Lagrange.<br \/>Problemas de otimiza\u00e7\u00e3o.<br \/>Matriz Jacobiana e regra da cadeia (n<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">\u00e3<\/span>o entra nas provas).<br \/>Teorema da fun\u00e7\u00e3o inversa <span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">(n<\/span>\u00e3<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">o entra nas provas)<\/span>.<br \/>Teorema da fun\u00e7\u00e3o impl\u00edcita <span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">(n<\/span>\u00e3<span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">o entra nas provas)<\/span>.<\/div>\n<div>\u00a0<\/div>\n<div><strong>Dias de<\/strong> <strong>aulas<\/strong>: 1, 3, 8, 10, 17, 29(cancelada) e 31(cancelada) de outubro; 5, 7, 12, 14, 19, 26 e 28 de novembro.<\/div>\n<p><strong>VR<\/strong> &#8211; dia 05\/12\/2019; (<strong>conte\u00fado<\/strong>: Mat\u00e9ria da 1<sup>a<\/sup> e 2<sup>a<\/sup>VEs) (Turma G1: <a href=\"https:\/\/www.dropbox.com\/s\/ic43zt388g39ly7\/Sergio%20VR%20Calculo%20II-B%202019-2%20G1.pdf?dl=0\">pdf<\/a> , turma I1: <a href=\"https:\/\/www.dropbox.com\/s\/hgkwscm5slgam28\/Sergio%20VR%20Calculo%20II-B%202019-2%20I1.pdf?dl=0\">pdf<\/a>)<\/p>\n<p><strong>VS <\/strong>&#8211; dia 12\/12\/2019; (<strong>conte\u00fado<\/strong>: Mat\u00e9ria da 1<sup>a<\/sup> e 2<sup>a<\/sup>VEs) <span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">(Turma G1: <\/span><a href=\"https:\/\/www.dropbox.com\/s\/z7ilrjak22bpczd\/Sergio%20VS%20Calculo%20II-B%202019-2%20G1.pdf?dl=0\">pdf<\/a><span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">, turma I1: <\/span><a href=\"https:\/\/www.dropbox.com\/s\/qun6lbccf0ocrbh\/Sergio%20VS%20Calculo%20II-B%202019-2%20I1.pdf?dl=0\">pdf<\/a><span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">) ;<\/span><\/p>\n<div><strong>Feriados<\/strong>: 7 de setembro;\u00a0 9, 12, 14, 15, 26 e 28 de outubro; 2, 15, 16, 20, 21 22 e 23 de novembro.<\/div>\n<p><strong>Observa\u00e7\u00f5es:<\/strong><\/p>\n<p>1) Os conte\u00fados est\u00e3o <strong>sujeitos a altera\u00e7\u00f5es<\/strong>.<\/p>\n<p>2) Somente alunos<strong> matriculados nas turmas G1 e I1<\/strong> podem fazer prova comigo.<\/p>\n<p><span style=\"float: none;background-color: #ffffff;color: #191e23;cursor: text;font-family: 'Noto Serif';font-size: 16px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;text-transform: none\">Provas de<\/span><strong>\u00a02014.2: <\/strong>1<sup>a <\/sup>VE (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/VE1_Calculo_II-B_2014-2.pdf\">.pdf)<\/a>,\u00a0 2<sup>a <\/sup>VE ( <a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/VE2_Calculo_II-B_2014-2.pdf\">.pdf<\/a>), VR\u00a0 (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/VR_Calculo_II-B_2014-2.pdf\">.pdf).<\/a><\/p>\n<p>Provas de<strong>\u00a02013.2:\u00a0<\/strong>1<sup>a\u00a0<\/sup>VE (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/VE1_Calc_2B_2013-2.pdf\">.pdf<\/a>), 2<sup>a\u00a0<\/sup>VE (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/VE2_Calc_2B_2013-2.pdf\">.pdf<\/a>), VR (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/VR_Calc_2B_2013-2.pdf\">.pdf<\/a>), VS (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/VS_Calc_2B_2013-2.pdf\">.pdf<\/a>).<\/p>\n<p>Provas de<strong> 2011.2: <\/strong>1<sup>a <\/sup>VE (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/1VE1_Calc_2B.pdf\">pdf<\/a>), 2<sup>a <\/sup>VE (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/2VE2_Calc_2B.pdf\">pdf<\/a>), VR (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/3VR_Calc_2B.pdf\">pdf<\/a>), VS (<a href=\"http:\/\/www.professores.uff.br\/almaraz\/wp-content\/uploads\/sites\/140\/2017\/09\/4VS_calc-II-B.pdf\">pdf<\/a>).<\/p>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2019.2 Turma G1: 3as e 5as, 11-13 horas, sala 405 bloco H\u00a0 da UFASA. Turma I1: 3as e 5as, 14-16 horas, sala 401 bloco H da UFASA. Livro-texto: James Stewart; C\u00e1lculo, Vol.II; Cengage Learning. Informa\u00e7\u00f5es sobre monitoria e outras informa\u00e7\u00f5es sobre o curso e podem ser encontradas no\u00a0site do GMA-Departamento de Matem\u00e1tica Aplicada (link). Exerc\u00edcios [&hellip;]<\/p>\n","protected":false},"author":22,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-103","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/pages\/103","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/comments?post=103"}],"version-history":[{"count":45,"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/pages\/103\/revisions"}],"predecessor-version":[{"id":344,"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/pages\/103\/revisions\/344"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/media?parent=103"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/categories?post=103"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/almaraz\/wp-json\/wp\/v2\/tags?post=103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}