{"id":2026,"date":"2022-07-23T20:25:54","date_gmt":"2022-07-23T23:25:54","guid":{"rendered":"https:\/\/wp.ufpel.edu.br\/zahn\/?page_id=2026"},"modified":"2026-05-04T20:57:58","modified_gmt":"2026-05-04T23:57:58","slug":"mmxxii","status":"publish","type":"page","link":"https:\/\/wp.ufpel.edu.br\/zahn\/","title":{"rendered":"MMXXV"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>Minha p\u00e1gina de autor na Amazon pode ser acessada clicando\u00a0<\/strong><\/span><strong><a href=\"https:\/\/www.amazon.com.br\/stores\/Maur%C3%ADcio-Zahn\/author\/B0FST5TV1V?asin=B0FST5TV1V&amp;ref=ap_rdr&amp;isDramIntegrated=true&amp;shoppingPortalEnabled=true\" target=\"_blank\" rel=\"noopener\">aqui<\/a><\/strong><\/p>\n<p style=\"text-align: center;\"><span style=\"font-size: 14pt; color: #0000ff;\"><strong><br \/>\nAno de 2026 de Nosso Senhor<\/strong><\/span><\/p>\n<p style=\"text-align: center;\"><strong>Primeiro Semestre<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>C\u00e1lculo 3 (Turmas T2 e T3 )<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>Local<\/strong>: Anglo, sala 427<\/p>\n<p><strong>Atendimentos<\/strong>: \u00a0os hor\u00e1rios de atendimento ser\u00e3o combinados em aula,. Os mesmos ocorrer\u00e3o no Webconf da UFPEL, acesso <a href=\"https:\/\/webconf.ufpel.edu.br\/b\/mau-u8g-h2s-q3a\" target=\"_blank\" rel=\"noopener\">aqui<\/a><\/p>\n<p style=\"text-align: center;\"><strong>Hor\u00e1rios:<\/strong> Segundas, quartas e sextas, 8h &#8211; 10h (para turma \u00a0T3) e das 10h -12h (para a turma T2)<\/p>\n<p>Dando sequ\u00eancia aos estudos de C\u00e1lculo, nesta disciplina estudaremos o C\u00e1lculo diferencial e integral de fun\u00e7\u00f5es a v\u00e1rias vari\u00e1veis reais.<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>Datas das provas<\/strong><\/span><\/p>\n<p style=\"text-align: center;\">Prova 01: 24\/04\/26 &#8211; arquivos: <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/Prv_01T2.pdf\" target=\"_blank\" rel=\"noopener\">P1T2<\/a>\u00a0 \u00a0 \u00a0 \u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/Prv_01T3.pdf\" target=\"_blank\" rel=\"noopener\">P1T3<\/a><\/p>\n<p style=\"text-align: center;\">Prova 02: 01\/06\/26<\/p>\n<p style=\"text-align: center;\">Prova 03: 24\/07\/26<\/p>\n<p style=\"text-align: center;\">Exame: 29\/07\/26<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"width: 49.034697%; text-align: center; height: 24px;\"><strong><span style=\"color: #0000ff;\">\u00a0Turma T2<\/span><\/strong><\/td>\n<td style=\"width: 83.338554%; text-align: center; height: 24px;\">\u00a0<strong><span style=\"color: #0000ff;\">Turma T3<\/span><\/strong><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 49.034697%; height: 24px;\">Plano de ensino, clique <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/plano_ensino_2026_1_11100060_T2-2.pdf\" target=\"_blank\" rel=\"noopener\">aqui<\/a>.<\/td>\n<td style=\"width: 83.338554%; height: 24px;\">Plano de ensino, clique <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/pl_ens_2026_1_11100060_T3.pdf\" target=\"_blank\" rel=\"noopener\">aqui<\/a>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>Listas de Exerc\u00edcios<\/strong><\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/L1_c3.pdf\" target=\"_blank\" rel=\"noopener\">Lista 01<\/a> &#8211; No\u00e7\u00f5es de Topologia.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/L2_c3.pdf\" target=\"_blank\" rel=\"noopener\">Lista 02<\/a> &#8211; Fun\u00e7\u00f5es de v\u00e1rias vari\u00e1veis reais.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/L3_c3.pdf\" target=\"_blank\" rel=\"noopener\">Lista 03<\/a> &#8211; Limite e continuidade.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/L4_c3.pdf\" target=\"_blank\" rel=\"noopener\">Lista 04<\/a> &#8211; Derivadas de fun\u00e7\u00f5es vetoriais. Derivadas parciais.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/05\/L5_c3.pdf\" target=\"_blank\" rel=\"noopener\">Lista 05<\/a> &#8211; \u00a0Diferenciais. Matriz Jacobiana. Regra da Cadeia. \u00a0Derivada direcional.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>Extras<\/strong><\/span><\/p>\n<ul>\n<li>Resolu\u00e7\u00e3o de exerc\u00edcios da lista 01, feitos no atendimento dia 11\/04, acesso\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/Atend-1.pdf\" target=\"_blank\" rel=\"noopener\">aqui<\/a><\/li>\n<li>Resolu\u00e7\u00e3o de quest\u00f5es da lista 03, de uma turma antiga, acesso\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2024\/06\/C3a15.pdf\" target=\"_blank\" rel=\"noopener\">aqui<\/a><\/li>\n<li>Arquivo PDF do atendimento dia 20\/04, acesso\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/20_abr.pdf\" target=\"_blank\" rel=\"noopener\">aqui<\/a>. O v\u00eddeo da aula pode ser acessado <a href=\"https:\/\/youtu.be\/32hf-3bi1b4\" target=\"_blank\" rel=\"noopener\">aqui<\/a> (ficou sem audio)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><strong>Arquivos PDF das aulas:<\/strong><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 50%; text-align: center;\">Turma 02<\/td>\n<td style=\"width: 50%; text-align: center;\">Turma 03<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/T2a1.pdf\" target=\"_blank\" rel=\"noopener\">Aula 01<\/a> (23\/03) no\u00e7\u00f5es de topologia: espa\u00e7os m\u00e9tricos. Bolas.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/T3a1.pdf\" target=\"_blank\" rel=\"noopener\">Aula 01<\/a> (23\/03) no\u00e7\u00f5es de topologia: espa\u00e7os m\u00e9tricos. Bolas.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/A2T2.pdf\" target=\"_blank\" rel=\"noopener\">Aula 02<\/a> (25\/03) Abertos em um espa\u00e7o m\u00e9trico. Sequ\u00eancia em um espa\u00e7o m\u00e9trico. Ponto aderente a um conjunto. Fecho de um conjunto. Conjunto fechado. Fronteira de conjunto.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/A2T3.pdf\" target=\"_blank\" rel=\"noopener\">Aula 02<\/a> (25\/03) Abertos em um espa\u00e7o m\u00e9trico. Sequ\u00eancia em um espa\u00e7o m\u00e9trico. Ponto aderente a um conjunto. Fecho \u00a0de um conjunto. Conjunto fechado. Fronteira de conjunto.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0 <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/T2a3.pdf\" target=\"_blank\" rel=\"noopener\">Aula 03<\/a> (27\/03) Conjunto limitado. Conjunto compacto. Introdu\u00e7\u00e3o \u00e0s fun\u00e7\u00f5es de v\u00e1rias vari\u00e1veis reais.<\/td>\n<td style=\"width: 50%;\">\u00a0 <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/T3a3.pdf\" target=\"_blank\" rel=\"noopener\">Aula 03<\/a> (27\/03) Conjunto limitado. Conjunto compacto. Introdu\u00e7\u00e3o \u00e0s fun\u00e7\u00f5es de v\u00e1rias vari\u00e1veis reais.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/T2a4.pdf\" target=\"_blank\" rel=\"noopener\">Aula 04<\/a> \u00a0(30\/03) fun\u00e7\u00f5es vetoriais a uma vari\u00e1vel real. Introdu\u00e7\u00e3o \u00e0s fun\u00e7\u00f5es \u00a0escalares de v\u00e1rias vari\u00e1veis reais.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/03\/T3a4.pdf\" target=\"_blank\" rel=\"noopener\">Aula 04<\/a> \u00a0(30\/03) fun\u00e7\u00f5es vetoriais a uma vari\u00e1vel real. Introdu\u00e7\u00e3o \u00e0s fun\u00e7\u00f5es escalares de v\u00e1rias vari\u00e1veis reais.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T2a5.pdf\" target=\"_blank\" rel=\"noopener\">Aula 05<\/a>\u00a0 (01\/04) Gr\u00e1ficos do dom\u00ednio e de fun\u00e7\u00f5es de R2 em R.<\/td>\n<td style=\"width: 50%;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T3a5.pdf\" target=\"_blank\" rel=\"noopener\">Aula 05<\/a>\u00a0 (01\/04) Gr\u00e1ficos do dom\u00ednio e de fun\u00e7\u00f5es de R2 em R.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T2a6.pdf\" target=\"_blank\" rel=\"noopener\">Aula 06<\/a> \u00a0(06\/04) Ponto de acumula\u00e7\u00e3o de um conjunto. Conceito de limite de fun\u00e7\u00f5es de v\u00e1rias vari\u00e1veis reais.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T3a6.pdf\" target=\"_blank\" rel=\"noopener\">Aula 06<\/a> \u00a0(06\/04) Ponto de acumula\u00e7\u00e3o de um conjunto. Conceito de limite de fun\u00e7\u00f5es de v\u00e1rias vari\u00e1veis reais.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T2a7.pdf\" target=\"_blank\" rel=\"noopener\">Aula 07<\/a>\u00a0 \u00a0(08\/04) \u00a0Limites por caminhos. Limites de fun\u00e7\u00f5es vetoriais a uma vari\u00e1vel real.<\/td>\n<td style=\"width: 50%;\"><a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T3a7.pdf\" target=\"_blank\" rel=\"noopener\">Aula 07<\/a>\u00a0 (08\/04) Limites por caminhos. Limites de fun\u00e7\u00f5es vetoriais a uma vari\u00e1vel real.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T2a8.pdf\" target=\"_blank\" rel=\"noopener\">Aula 08<\/a> (10\/04) Propriedades operat\u00f3rias dos limites. Teorema do sandu\u00edche. Fun\u00e7\u00f5es cont\u00ednuas.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T3a8.pdf\" target=\"_blank\" rel=\"noopener\">Aula 08<\/a> \u00a0(10\/04) Teorema do Sandu\u00edche. Fun\u00e7\u00f5es cont\u00ednuas.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T2a9.pdf\" target=\"_blank\" rel=\"noopener\">Aula 09<\/a>\u00a0(13\/04) Teorema de Weierstrass. Derivadas de fun\u00e7\u00f5es vetoriais. Derivadas parciais.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T3a9.pdf\" target=\"_blank\" rel=\"noopener\">Aula 09<\/a>\u00a0(13\/04) Teorema de Weierstrass. Derivadas de fun\u00e7\u00f5es vetoriais. Derivadas parciais.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T2a10.pdf\" target=\"_blank\" rel=\"noopener\">Aula 10<\/a> (15\/04) Significado geom\u00e9trico da derivada parcial . Derivadas de ordem superior. Teorema de Schwarz.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T3a10.pdf\" target=\"_blank\" rel=\"noopener\">Aula 10<\/a> (15\/04) Significado geom\u00e9trico da derivada parcial . Derivadas de ordem superior. Teorema de Schwarz.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0 <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/t2a11.pdf\" target=\"_blank\" rel=\"noopener\">Aula 11 <\/a>(17\/04) Aula de exerc\u00edcios.<\/td>\n<td style=\"width: 50%;\">\u00a0 <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/t3a11.pdf\" target=\"_blank\" rel=\"noopener\">Aula 11 <\/a>(17\/04) Aula de exerc\u00edcios.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T2a12.pdf\" target=\"_blank\" rel=\"noopener\">Aula 12<\/a> (22\/04) Aula de exerc\u00edcios.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T3a12.pdf\" target=\"_blank\" rel=\"noopener\">Aula 12<\/a> (22\/04) Aula de exerc\u00edcios.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2023\/04\/T2a13.pdf\" target=\"_blank\" rel=\"noopener\">Aula 13<\/a> (27\/04) Diferenciabilidade no Rm, parte 1.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2023\/04\/T3a13.pdf\" target=\"_blank\" rel=\"noopener\">Aula 13<\/a> (27\/04) Diferenciabilidade no Rm, parte 1.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0 <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T2a14.pdf\" target=\"_blank\" rel=\"noopener\">Aula 14<\/a>\u00a0 (29\/04) Diferenciabilidade no R m, parte 2. Incrementos e o diferencial total.<\/td>\n<td style=\"width: 50%;\">\u00a0 <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/04\/T3a14.pdf\" target=\"_blank\" rel=\"noopener\">Aula 14<\/a>\u00a0 (29\/04) Diferenciabilidade no R m, parte 2. Incrementos e o diferencial total.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/05\/T2a15.pdf\" target=\"_blank\" rel=\"noopener\">Aula 15<\/a> (04\/05) Regra da cadeia. Derivada direcional.<\/td>\n<td style=\"width: 50%;\">\u00a0<a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/files\/2026\/05\/T3a15.pdf\" target=\"_blank\" rel=\"noopener\">Aula 15<\/a> (04\/05) Regra da cadeia.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Minha p\u00e1gina de autor na Amazon pode ser acessada clicando\u00a0aqui Ano de 2026 de Nosso Senhor Primeiro Semestre C\u00e1lculo 3 (Turmas T2 e T3 ) Local: Anglo, sala 427 Atendimentos: \u00a0os hor\u00e1rios de atendimento ser\u00e3o combinados em aula,. Os mesmos ocorrer\u00e3o no Webconf da UFPEL, acesso aqui Hor\u00e1rios: Segundas, quartas e sextas, 8h &#8211; 10h &hellip; <a href=\"https:\/\/wp.ufpel.edu.br\/zahn\/\" class=\"more-link\">Continue lendo <span class=\"screen-reader-text\">MMXXV<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":605,"featured_media":0,"parent":1596,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-2026","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P7fXYa-wG","_links":{"self":[{"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages\/2026","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/users\/605"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/comments?post=2026"}],"version-history":[{"count":4,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages\/2026\/revisions"}],"predecessor-version":[{"id":4475,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages\/2026\/revisions\/4475"}],"up":[{"embeddable":true,"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/pages\/1596"}],"wp:attachment":[{"href":"https:\/\/wp.ufpel.edu.br\/zahn\/wp-json\/wp\/v2\/media?parent=2026"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}