{"id":36783,"date":"2025-10-03T23:11:33","date_gmt":"2025-10-03T21:11:33","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=36783"},"modified":"2025-10-31T19:00:38","modified_gmt":"2025-10-31T17:00:38","slug":"semaine-6-du-6-au-10-octobre-2","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2526\/semaine-6-du-6-au-10-octobre-2.html","title":{"rendered":"Semaine 6 : du 6 au 10 octobre"},"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 7 (du 13 au 17 octobre)<br \/>\n<\/span><\/big><\/b><\/p>\n<p><a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/programme_colle_05.pdf\">Colle n\u00b05<\/a><\/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=\"font-size: 14pt;\"><strong>Cours<\/strong><\/span><\/p>\n<p>&#8211; <strong>Mardi :<\/strong> chapitre 5a <strong>Int\u00e9gration sur un segment<\/strong> :<br \/>\nI) Rappels PCSI<br \/>\nII) Fonctions continues par morceaux sur un segment, int\u00e9grale sur un segment, fonctions continues par morceaux sur un intervalle,<br \/>\n&#8211; <strong>Jeudi :<\/strong> chapitre 5b <strong>Int\u00e9gration sur un intervalle quelconque<\/strong> :<br \/>\nI) Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es : d\u00e9finition, int\u00e9grales de r\u00e9f\u00e9rences, cas des int\u00e9grales faussement g\u00e9n\u00e9ralis\u00e9es<br \/>\n&#8211; <strong>Vendredi :<\/strong> chapitre 5 <strong>Int\u00e9gration sur un intervalle quelconque<\/strong> :<br \/>\nI) Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es : int\u00e9grales g\u00e9n\u00e9ralis\u00e9es sur un ouvert, th\u00e9or\u00e8mes de comparaison pour les int\u00e9grales de fonctions positives<br \/>\nII) Propri\u00e9t\u00e9s de l&rsquo;int\u00e9grale : lin\u00e9arit\u00e9, positivit\u00e9, croissance, Chasles<br \/>\nIII) Calcul d&rsquo;int\u00e9grales : int\u00e9gration par parties<\/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><b><big><span style=\"color: #2e8b57;\">Travaux dirig\u00e9s<br \/>\n<\/span><\/big><\/b><\/p>\n<p>Exercices \u00e0 chercher pour<br \/>\n&#8211; <strong>Mardi :<\/strong> TD4 n\u00b0 11, 12 et 13 &#8211; TD5 n\u00b01 et 2 (3 et 4 \u00e0 chercher)<br \/>\n&#8211; <strong>Jeudi :<\/strong> TD5 n\u00b0 4 <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Programme de colles de la semaine 7 (du 13 au 17 octobre) Colle n\u00b05 Cours &#8211; Mardi : chapitre 5a Int\u00e9gration sur un segment : I) Rappels PCSI II) Fonctions continues par morceaux sur un segment, int\u00e9grale sur un segment,&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"more-link\" href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2526\/semaine-6-du-6-au-10-octobre-2.html\">Read more &rarr;<\/a><\/p>\n","protected":false},"author":36,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[425],"tags":[],"class_list":["post-36783","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2526"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/36783","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\/36"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/comments?post=36783"}],"version-history":[{"count":8,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/36783\/revisions"}],"predecessor-version":[{"id":37058,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/36783\/revisions\/37058"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=36783"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=36783"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=36783"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}