{"id":26451,"date":"2021-11-09T08:13:58","date_gmt":"2021-11-09T08:13:58","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=26451"},"modified":"2021-11-11T16:21:51","modified_gmt":"2021-11-11T16:21:51","slug":"semaine-9-du-08-11-au-12-11","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2122\/semaine-9-du-08-11-au-12-11.html","title":{"rendered":"Semaine 9 du 08\/11 au 12\/11"},"content":{"rendered":"
\n

Programme de colles de la semaine \u00e0 venir<\/span><\/big><\/b><\/p>\n

programme de colles \u00e0 venir : 08_prog_suites_series_fonc<\/a>
\n<\/strong><\/span><\/p>\n<\/div>\n

\n

II) Convergence uniforme.<\/span><\/span><\/strong><\/p>\n

D\u00e9finition; propri\u00e9t\u00e9s : continuit\u00e9, th\u00e9or\u00e8me d’int\u00e9gration terme \u00e0 terme sur un segment, th\u00e9or\u00e8me de d\u00e9rivation terme\u00a0 terme.
\n<\/span><\/p>\n

Th\u00e9or\u00e8me d’int\u00e9gration terme \u00e0 terme sur un intervalle quelconque avec hypoth\u00e8se de domination.
\n<\/span><\/p>\n

III) Convergence normale.<\/span><\/span><\/strong><\/p>\n

D\u00e9finition; lien avec la convergence uniforme ;<\/span><\/p>\n

exercice(s) 8, 1
\n<\/em><\/span><\/p>\n

\n

\u00a0crit\u00e8re de convergence normale via s\u00e9rie majorante.<\/span><\/p>\n

D\u00e9rivations successives terme \u00e0 terme.
\n<\/span><\/p>\n

exercice(s) 4, 6
\n<\/span><\/em><\/span><\/p>\n

\n

f\u00e9ri\u00e9<\/em><\/p>\n

\n

exercice(s) 2, 7
\n<\/em><\/span><\/p>\n

\n

semaine du 18\/10 : interro de cours n\u00b0 1 2021_interro1<\/a><\/p>\n<\/div>\n

\n

Document de cours : cours_ser_fonct<\/a><\/p>\n

Documents distribu\u00e9s :
\n<\/span><\/big><\/b><\/p>\n

DM 5 : \u00e0 rendre le mardi 16\/11\/2021dm05<\/a><\/p>\n

TD :\u00a0 TD_ser_fonct<\/a>
\n<\/span><\/big><\/b><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine \u00e0 venir programme de colles \u00e0 venir : 08_prog_suites_series_fonc II) Convergence uniforme. D\u00e9finition; propri\u00e9t\u00e9s : continuit\u00e9, th\u00e9or\u00e8me d’int\u00e9gration terme \u00e0 terme sur un segment, th\u00e9or\u00e8me de d\u00e9rivation terme\u00a0 terme. Th\u00e9or\u00e8me d’int\u00e9gration terme \u00e0 terme…<\/p>\n

Read more →<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[317],"tags":[],"class_list":["post-26451","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2122"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26451","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=26451"}],"version-history":[{"count":3,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26451\/revisions"}],"predecessor-version":[{"id":26464,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26451\/revisions\/26464"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=26451"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=26451"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=26451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}