{"id":520,"date":"2023-03-23T19:05:04","date_gmt":"2023-03-23T22:05:04","guid":{"rendered":"http:\/\/www.professores.uff.br\/reginaldodr\/?page_id=520"},"modified":"2023-07-27T12:57:43","modified_gmt":"2023-07-27T15:57:43","slug":"calculo-ii-rcn00020-2023-1","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/reginaldodr\/disciplinas\/calculo-ii-rcn00020-2023-1\/","title":{"rendered":"C\u00e1lculo II RCN00020 &#8211; 2023-1"},"content":{"rendered":"\n<p><strong>Informa\u00e7\u00f5es B\u00e1sicas<\/strong><\/p>\n\n\n<ul class=\"rich-text editor-rich-text__editable block-editor-rich-text__editable is-selected\" role=\"textbox\" aria-label=\"Escrever lista...\">\n<li><strong>Turmas C1 &#8211; Computa\u00e7\u00e3o<\/strong>\n<ul>\n<li>Segunda 14h \u00e0s 16h e Sexta 16h \u00e0s 18h &#8211; <span style=\"color: #ff0000\"><strong>sala 04 &#8211; IHS (pr\u00e9dio novo)<\/strong><\/span><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1SehkzcVECyh6tmJhXVkaCMhHF0v4qoJnEzGT-6y6COU\/edit?usp=sharing\" target=\"_blank\" rel=\"noopener noreferrer\">Cronograma de aulas<\/a><\/li>\n<\/ul>\n<\/li>\n<li><strong>Turma E1 &#8211; Engenharia<\/strong>\n<ul class=\"rich-text editor-rich-text__editable block-editor-rich-text__editable is-selected\" role=\"textbox\" aria-label=\"Escrever lista...\">\n<li>Segunda e Quarta das 16h \u00e0s 18h &#8211; <span style=\"color: #ff0000\"><strong>sala 04 &#8211; IHS (pr\u00e9dio novo)<\/strong><\/span><\/li>\n<li><a href=\"https:\/\/docs.google.com\/document\/d\/1l_J67mFylfHha7bFYd7i3Dofjr8WkfzJULaCsX_W4l4\/edit?usp=sharing\">Cronograma de aulas<\/a><\/li>\n<\/ul>\n<\/li>\n<li><strong>Atendimento: sala 104 &#8211; IHS (pr\u00e9dio novo)<\/strong><\/li>\n<li><strong>Ementa:<\/strong> Busque por RCN00020 em <a href=\"https:\/\/app.uff.br\/graduacao\/quadrodehorarios\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\">quadro de hor\u00e1rios<\/a> .<\/li>\n<\/ul>\n\n\n<h4 class=\"has-vivid-green-cyan-color has-text-color wp-block-heading\"> <strong>Apresenta\u00e7\u00e3o do Curso<\/strong><\/h4>\n\n\n\n<p>Este curso \u00e9 constitu\u00eddo de dois grandes m\u00f3dulos:&nbsp;<\/p>\n\n\n\n<p><strong>C\u00e1lculo Integral<\/strong> e <strong>Equa\u00e7\u00f5es Diferenciais Ordin\u00e1rias<\/strong>&nbsp;<\/p>\n\n\n\n<p>Usaremos o <strong>Classroom<\/strong> como Ambiente Virtual&nbsp; de Aprendizagem (AVA). Nele ser\u00e3o postados todos os materiais usados e ser\u00e3o realizadas as discuss\u00f5es e comunica\u00e7\u00f5es.<\/p>\n\n\n\n<h4 class=\"has-vivid-green-cyan-color has-text-color wp-block-heading\">Avalia\u00e7\u00e3o<\/h4>\n\n\n\n<p>A avalia\u00e7\u00e3o ser\u00e1 constitu\u00edda de <strong>2 Provas<\/strong> presenciais realizadas ao fim de cada m\u00f3dulo. Cada prova ter\u00e1 o valor de 10 pontos. A nota final do curso ser\u00e1 a m\u00e9dia aritm\u00e9tica das duas provas.<\/p>\n\n\n\n<h4 class=\"has-vivid-green-cyan-color has-text-color wp-block-heading\"><strong>Segunda Chamada e Verifica\u00e7\u00e3o Suplementar.<\/strong><\/h4>\n\n\n\n<p>Em concord\u00e2ncia com o <a href=\"http:\/\/www.uff.br\/sites\/default\/files\/001-2015_regulamento_do_curso_de_graduacao_0.pdf\">Regulamento dos Cursos de gradua\u00e7\u00e3o<\/a> em seu Art. 99, a <strong>Verifica\u00e7\u00e3o Suplementar (VS) <\/strong>\u00e9 vetada aos discentes j\u00e1 aprovados e \u00e9 <strong>obrigat\u00f3ria<\/strong> para aqueles que tenham obtido m\u00e9dia parcial entre 4,0 e 5,9, sendo esses dois limites inclu\u00eddos.<\/p>\n\n\n\n<p>Como regulamentado pelo&nbsp; <a href=\"http:\/\/www.uff.br\/sites\/default\/files\/001-2015_regulamento_do_curso_de_graduacao_0.pdf\">Regulamento dos Cursos de gradua\u00e7\u00e3o<\/a> em seu Art. 98, o aluno tem direito a uma avalia\u00e7\u00e3o de segunda chamada (VR), que <strong>substituir\u00e1 uma, e somente uma,<\/strong> das avalia\u00e7\u00f5es que tenha faltado. <\/p>\n\n\n\n<h4 class=\"has-vivid-green-cyan-color has-text-color wp-block-heading\"><strong>Calend\u00e1rio<\/strong> de Provas<\/h4>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<p class=\"has-text-align-center\">Turma C1<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>03\/04 &#8211; In\u00edcio do Per\u00edodo<\/li><li>02\/06 &#8211; Avalia\u00e7\u00e3o Preliminar com Consulta (<a rel=\"noreferrer noopener\" aria-label=\"gabarito (abre numa nova aba)\" href=\"https:\/\/drive.google.com\/file\/d\/1ppJTxYoD3i-eIErRLUbS8eeacCQqhrSr\/view?usp=drive_link\" target=\"_blank\">gabarito<\/a>)<\/li><li>05\/06 &#8211; Primeira Prova (<a href=\"https:\/\/drive.google.com\/file\/d\/1gMSIEkBs3JD_cZ-ROUIt1BQULQEqJOr2\/view?usp=drive_link\">gabarito<\/a>)<\/li><li>10\/07 &#8211; Segunda Prova (<a rel=\"noreferrer noopener\" aria-label=\"gabarito (abre numa nova aba)\" href=\"http:\/\/www.professores.uff.br\/reginaldodr\/wp-content\/uploads\/sites\/135\/2023\/07\/p2-c2-turmaE1-2023-1.pdf\" target=\"_blank\">gabarito<\/a>)<\/li><li>14\/07 &#8211; 2\u00aa Chamada (<a href=\"http:\/\/www.professores.uff.br\/reginaldodr\/wp-content\/uploads\/sites\/135\/2023\/07\/vr-p1_c2_2023-1-turmaC1.pdf\">VR-P1<\/a>) (<a href=\"http:\/\/www.professores.uff.br\/reginaldodr\/wp-content\/uploads\/sites\/135\/2023\/07\/vr-p2-c2-turmaC1-2023-1.pdf\">VR-P2<\/a>)<\/li><li>17\/07- Vista da P2 e 2\u00aa chamada<\/li><li>21\/07 &#8211; Verifica\u00e7\u00e3o Suplementar (<a href=\"http:\/\/www.professores.uff.br\/reginaldodr\/wp-content\/uploads\/sites\/135\/2023\/07\/vs_c2_2023-1-turmac1-gabarito.pdf\">gabarito<\/a>)<\/li><li>22\/07 &#8211; Fim do Per\u00edodo.<\/li><\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<p class=\"has-text-align-center\">Turma E1<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>03\/04 &#8211; In\u00edcio do Per\u00edodo<\/li><li>29\/05 &#8211; Atividade Preliminar de Revis\u00e3o (<a href=\"https:\/\/drive.google.com\/file\/d\/17GovtRg1s0vH3gCXytdZ3h_STU1hxSoL\/view?usp=sharing\">gabarito<\/a>)<\/li><li>31\/05 &#8211; Primeira Prova (<a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/drive.google.com\/file\/d\/1He_pgMtEXlLDULyVkHR_ilz2qtQLK3w6\/view?usp=sharing\" target=\"_blank\">gabarito<\/a>)<\/li><li>10\/07 &#8211; Segunda Prova (<a href=\"http:\/\/www.professores.uff.br\/reginaldodr\/wp-content\/uploads\/sites\/135\/2023\/07\/p2-c2-turmaE1-2023-1.pdf\">gabarito<\/a>) <\/li><li>12\/07 &#8211; 2\u00aa Chamada (<a href=\"http:\/\/www.professores.uff.br\/reginaldodr\/wp-content\/uploads\/sites\/135\/2023\/07\/vr-p1-c2-turmaE1-2023-1.pdf\">VR-P1<\/a>) (<a href=\"http:\/\/www.professores.uff.br\/reginaldodr\/wp-content\/uploads\/sites\/135\/2023\/07\/vr-p2-c2-turmaE1-2023-1.pdf\">VR-P2<\/a>)<\/li><li>17\/07- Vista da P2 e da 2\u00aa chamada<\/li><li>19\/07 &#8211; Verifica\u00e7\u00e3o Suplementar (n\u00e3o houve alunos de vs)<\/li><li>22\/07 &#8211; Fim do Per\u00edodo.<\/li><\/ul>\n<\/div>\n<\/div>\n\n\n\n<h4 class=\"has-vivid-green-cyan-color has-text-color wp-block-heading\">Materiais Utilizados<\/h4>\n\n\n\n<ul class=\"wp-block-list\"><li><a rel=\"noreferrer noopener\" aria-label=\" (abre numa nova aba)\" href=\"https:\/\/mega.nz\/file\/nU8BWIgS#bQRFns7nNhfOyAqZM-fUhPI6ZSBoAxfKdyyE57BTPo0\" target=\"_blank\">Slides Integral<\/a> &#8211; Atualizado 07\/05\/2023<\/li><li><a href=\"https:\/\/mega.nz\/file\/yIcwAL4D#fSiEsU6gSyeCdIbsd9kedreIEwj4Ol0w-rvgAOTe_Ng\">Slide EDO<\/a> &#8211; Atualizado 03\/07\/2023<\/li><li><a rel=\"noreferrer noopener\" aria-label=\"Playlist videoaulas de c\u00e1lculo 2 (abre numa nova aba)\" href=\"https:\/\/youtube.com\/playlist?list=PLMbyf27J7J7iKWn_2dpxRE1SMeosAZTEY\" target=\"_blank\">Playlist videoaulas de c\u00e1lculo 2<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"Provas anteriores (abre numa nova aba)\" href=\"https:\/\/drive.google.com\/drive\/folders\/1vo8lpGdbSg7IiUjImOUXegAgEbbAwhK3?usp=sharing\" target=\"_blank\">Provas anteriores<\/a><\/li><li><a rel=\"noreferrer noopener\" aria-label=\"Arquivos Python (abre numa nova aba)\" href=\"https:\/\/drive.google.com\/drive\/folders\/1W8BtIjg4IzpDbCOs62NCT-WJH8SwVk44\" target=\"_blank\">Arquivos Python<\/a><\/li><\/ul>\n\n\n\n<h4 class=\"has-vivid-green-cyan-color has-text-color wp-block-heading\">Listas de Exerc\u00edcios<\/h4>\n\n\n\n<p><strong>Integral<\/strong>: Abaixo seguem os exec\u00edcios da refer\u00eancia [8] que devem ser feitos.  Os exerc\u00edcios marcado com o s\u00edmbolo\n<span style=\"border-width:1px;border-style:solid;border-color:blue\"><span style=\"color:blue\">SAC<\/span><\/span> no livro, devem ser feitos usando uma ferramenta computacional, como por exemplo o python.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u00a7 5.1: 11, 15.<\/li><li>\u00a7 5.2: 5, 33, 35, 37, 47, 49, 53.<\/li><li>\u00a7 5.3: 7, 9, 17, 19, 23, 27, 29, 35, 39, 53, 55.<\/li><li>\u00a7 5.4: 5, 9, 11, 17, 29, 31, 35, 37, 41, 61.<\/li><li>\u00a7 5.5: 7, 9, 19, 21, 23, 27, 35, 53, 57, 59, 63, 74, 76, 78, 81.<\/li><li>\u00a7 6.1: 1, 3, 5, 9, 13, 23, 24, 29, 39, 49, 51, 53.<\/li><li>\u00a7 7.1: 3, 5, 7, 9, 15, 17, 23, 25, 27, 33, 44, 47.<\/li><li>\u00a7 7.2: 3, 7, 17, 21, 25, 29, 31, 43, 45, 56, 57, 66, 70.<\/li><li>\u00a7 7.3: 5, 7, 11, 13, 17, 23, 25, 35, 41.<\/li><li>\u00a7 7.4: 7, 9, 11, 13, 15, 17, 63, 65, 67.<\/li><li>Leia a se\u00e7\u00e3o 7.5 (Estrat\u00e9gias de Integra\u00e7\u00e3o)<\/li><li>\u00a7 7.5: 1, 3, 5, 7, 13, 15, 17, 23, 25, 27, 33, 41, 45, 63.<\/li><li>\u00a7 6.2: 1, 3, 5,19, 21, 39, 45, 51, 67.<\/li><li>\u00a7 6.3: 5, 7, 9, 15, 19, 43, 46.<\/li><li>\u00a7<\/li><li>Em constru\u00e7\u00e3o<\/li><\/ul>\n\n\n\n<p><strong>EDO<\/strong>: Abaixo seguem os exec\u00edcios da refer\u00eancia [2] que devem ser feitos. A distribui\u00e7\u00e3o est\u00e1 dada por se\u00e7\u00e3o. Os exerc\u00edcios marcado com o s\u00edmbolo\ud83d\uddb1\ufe0f\u200b no livro, devem ser feitos usando uma ferramenta computacional, como por exemplo o python.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u00a7 1.1: 1, 5, 11, 13, 22, 23.<\/li><li>\u00a7 1.3: 1, 2, 5, 6, 8, 9, 11, 15.<\/li><li>\u00a7 2.2: 1, 6, 8, 10, 12 .<\/li><li>\u00a7 2.3: 12, 13, 16, 21.<\/li><li>\u00a7 2.1: 1, 4, 5, 6, 7, 9, 13, 15, 16, 17,18.<\/li><li>\u00a7 2.4: 1, 2, 5, 7, 11, 27, 28.<\/li><li>\u00a7 3.1: 1-4, 9-12, 20, 21, 22.<\/li><li>\u00a73.2: 1,2, 21, 22, 23, 25.<\/li><li>\u00a73.4: 7-10, 17-20, 25.<\/li><li>\u00a73.5: 1-4, 11-14, 15, 18.<\/li><li>\u00a73.6: 1-5, 8, 14, 17.<\/li><li>\u00a73.7: 5-7, 13, 14,.<\/li><li>\u00a73.8: 6, 9, 11, 14, 17, 27. <\/li><\/ul>\n\n\n\n<h4 class=\"has-vivid-green-cyan-color has-text-color wp-block-heading\">Refer\u00eancias<\/h4>\n\n\n\n<p>O curso ser\u00e1 dividido em duas partes. C\u00e1lculo Integral e Equa\u00e7\u00f5es Diferenciais Ordin\u00e1rias.<br>Na parte 1, <strong>C\u00e1lculo Integral<\/strong>, ser\u00e1 usado como livro texto a refer\u00eancia [8] e as demais como material auxiliar ao longo do curso.&nbsp;<br>Na parte 2,<strong> Equa\u00e7\u00f5es Diferenciais Ordin\u00e1rias<\/strong>, usaremos com livro texto a refer\u00eancia [2] e  as demais como material auxiliar.<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>P. Boulos, <strong><em>Introdu\u00e7\u00e3o ao C\u00e1lculo Volume II<\/em><\/strong>. Editora Edgar Bl\u00fccher, Bras\u00edlia, 1974.<\/li><li>W. E. Boyce, R. C. Diprima. <strong><em>Equa\u00e7\u00f5es Diferenciais Elementares e Problemas de Valor de Contorno<\/em><\/strong>. 8\u00aa ed. Editora Guanabara. <\/li><li>H. Cassago Jr., L. A. C. Laderia, <strong><em>Equa\u00e7\u00f5es Diferenciais Ordin\u00e1rias.<\/em><\/strong> USP. S\u00e3o Carlos, 2011. Dispon\u00edvel <a rel=\"noreferrer noopener\" aria-label=\"aqui (abre numa nova aba)\" href=\"https:\/\/sites.icmc.usp.br\/tiago\/index.html\/assets\/herminio_ladeira2.pdf\" target=\"_blank\">aqui<\/a>.<\/li><li>D. G. de Figueiredo. A. F. Neves, <strong><em>Equa\u00e7\u00f5es Diferenciais Aplicadas<\/em><\/strong>. Cole\u00e7\u00e3o Matem\u00e1tica Universit\u00e1rias. IMPA. Rio de Janeiro, 2012.<\/li><li>R. M. Martins, <strong>Mais uma Introdu\u00e7\u00e3o \u00e0s Equa\u00e7\u00f5es Diferencias, Notas de Aula Unicamp<\/strong>. Dispon\u00edvel <a rel=\"noreferrer noopener\" aria-label=\"aqui. (abre numa nova aba)\" href=\"http:\/\/www.ime.unicamp.br\/~rmiranda\/notas-de-aula-ma311\/notas-de-aula-ma311.pdf\" target=\"_blank\">aqui.<\/a><\/li><li>E. C. de Oliveria, M. Tygel. <strong><em>M\u00e9todos Matem\u00e1ticos para Engenharia. <\/em><\/strong>Cole\u00e7\u00e3o Textos Universit\u00e1rios. SBM, Rio de Janeiro, 2005.<\/li><li>R. J. Santos, <strong><em>Introdu\u00e7\u00e3o \u00e0s Equa\u00e7\u00f5es Diferenciais Ordin\u00e1rias.<\/em><\/strong> Imprensa Universit\u00e1ria da UFMG, Belo Horizonte, 2016. Dispon\u00edvel <a rel=\"noreferrer noopener\" aria-label=\"aqui. (abre numa nova aba)\" href=\"https:\/\/regijs.github.io\/index.html\" target=\"_blank\">aqui.<\/a><\/li><li>James Stewart. <strong><em>C\u00e1lculo Volume 1.<\/em><\/strong> Editora Cengage Learning, 6a ed., S\u00e3o Paulo, 2011.<\/li><li>G. B. Thomas. <strong><em>C\u00e1lculo Volume 1<\/em><\/strong>. Editora Addison Wesley, 11\u00aa Ed., S\u00e3o Paulo, 2009.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Informa\u00e7\u00f5es B\u00e1sicas Turmas C1 &#8211; Computa\u00e7\u00e3o Segunda 14h \u00e0s 16h e Sexta 16h \u00e0s 18h &#8211; sala 04 &#8211; IHS (pr\u00e9dio novo) Cronograma de aulas Turma E1 &#8211; Engenharia Segunda e Quarta das 16h \u00e0s 18h &#8211; sala 04 &#8211; IHS (pr\u00e9dio novo) Cronograma de aulas Atendimento: sala 104 &#8211; IHS (pr\u00e9dio novo) Ementa: Busque [&hellip;]<\/p>\n","protected":false},"author":141,"featured_media":0,"parent":170,"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-520","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/pages\/520","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/users\/141"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/comments?post=520"}],"version-history":[{"count":74,"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/pages\/520\/revisions"}],"predecessor-version":[{"id":735,"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/pages\/520\/revisions\/735"}],"up":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/pages\/170"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/media?parent=520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/categories?post=520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/reginaldodr\/wp-json\/wp\/v2\/tags?post=520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}