{"id":33395,"date":"2024-09-05T10:55:29","date_gmt":"2024-09-05T08:55:29","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=33395"},"modified":"2024-09-06T15:03:51","modified_gmt":"2024-09-06T13:03:51","slug":"semaine-1-du-02-au-07-09","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2425\/semaine-1-du-02-au-07-09.html","title":{"rendered":"Semaine 1 : du 02 au 07\/09"},"content":{"rendered":"<div style=\"border: 2px solid; border-radius: 6px; color: #dc143c; padding-top: 1px; padding-bottom: 1px; padding-left: 20px; margin: 1px;\">\n<p><b><big><span style=\"color: #dc143c;\">Programme de colles de la semaine du 09\/09 : <a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/01_prog_intgen-5.pdf\">01_prog_intgen<\/a><br \/>\n<\/span><\/big><\/b><\/p>\n<\/div>\n<div style=\"border: 2px solid; border-radius: 6px; color: #00008b; padding-top: 1px; padding-bottom: 1px; padding-left: 20px; margin: 1px;\">\n<p><span style=\"text-decoration: underline; color: #000000;\"><span style=\"font-size: 18pt;\"><strong>Chapitre I : Int\u00e9gration<\/strong><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">Rappels sur les sommes de Riemann. D\u00e9finition des fonctions continues par morceaux, int\u00e9gration sur un segment. Exemples.<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">Rappels sur le th\u00e9or\u00e8me fondamental.<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) :\u00a0 Calculs de d\u00e9riv\u00e9es et de primitives.<\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Convergence d&rsquo;une int\u00e9grale g\u00e9n\u00e9ralis\u00e9e sur $[a,+\\infty[$. <\/span><\/p>\n<p><span style=\"color: #000000;\">Int\u00e9grales de Riemann sur [1,+\\infty[. Exponentielle d\u00e9croissante sur [0,+\\infty[<\/span><\/p>\n<p><span style=\"color: #000000;\">CNS de convergence pour l&rsquo;int\u00e9grale d&rsquo;une fonction continue par morceaux et positive.<\/span><\/p>\n<p><span style=\"color: #000000;\">Propri\u00e9t\u00e9s usuelles des int\u00e9grales g\u00e9n\u00e9ralis\u00e9es : lin\u00e9arit\u00e9, croissance, positivit\u00e9, relation de Chasles, <\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) : 1, 2 (finir le 2.3 pour jeudi)<\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Convergence d&rsquo;une int\u00e9grale g\u00e9n\u00e9ralis\u00e9e sur un intervalle quelconque. Int\u00e9grales de Riemann sur [0,1], cas du logarithme n\u00e9p\u00e9rien.<\/span><\/p>\n<p><span style=\"color: #000000;\">Fonction int\u00e9grable, absolue convergence d&rsquo;une int\u00e9grale g\u00e9n\u00e9ralis\u00e9e.<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) : 9, 10<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>chercher 2.3 et 12 pour mercredi<\/em><\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Int\u00e9grabilit\u00e9 en une borne, Th\u00e9or\u00e8me de comparaison.<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) : 7, 21.1<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>chercher 21.2 pour lundi<\/em><\/span><\/p>\n<\/div>\n<div style=\"border: 2px solid; border-radius: 6px; color: #2e8b57; padding-top: 1px; padding-bottom: 1px; padding-left: 20px; margin: 1px;\">\n<p><span style=\"font-size: 12pt;\">Notes de cours : <b><big> <a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/ch01_Cours_Integration_2024.pdf\">ch01_Cours_Integration_2024<\/a><\/big><\/b><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><b><big><span style=\"color: #2e8b57;\">Documents distribu\u00e9s : <\/span><\/big><\/b><\/span><b><big><span style=\"color: #2e8b57;\"><span style=\"font-size: 12pt;\">TD : <\/span><a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/ch01_TD_Integration_2024.pdf\"><span style=\"font-size: 12pt;\">ch01_TD_Integration_2024<\/span><\/a><\/span><\/big><\/b><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Programme de colles de la semaine du 09\/09 : 01_prog_intgen Chapitre I : Int\u00e9gration Rappels sur les sommes de Riemann. D\u00e9finition des fonctions continues par morceaux, int\u00e9gration sur un segment. Exemples. Rappels sur le th\u00e9or\u00e8me fondamental. exercice(s) :\u00a0 Calculs de&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"more-link\" href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2425\/semaine-1-du-02-au-07-09.html\">Read more &rarr;<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[386],"tags":[],"class_list":["post-33395","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2425"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/33395","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/comments?post=33395"}],"version-history":[{"count":4,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/33395\/revisions"}],"predecessor-version":[{"id":33462,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/33395\/revisions\/33462"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=33395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=33395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=33395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}