{"id":32404,"date":"2024-02-20T14:47:52","date_gmt":"2024-02-20T12:47:52","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=32404"},"modified":"2024-02-23T19:12:39","modified_gmt":"2024-02-23T17:12:39","slug":"32404","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2324\/32404.html","title":{"rendered":"Semaine 21 du 12\/02\/2024"},"content":{"rendered":"
\n

Programme de colles de la semaine du 11\/03 : 20_prog_evn_topo<\/a>
\n<\/span><\/big><\/b><\/p>\n<\/div>\n


\n<\/span>Chapitre XII (suite)
\n<\/strong>Continuit\u00e9 en un point d’une fonction de plusieurs variables. Fonctions lipschitziennes. Continuit\u00e9 des applications lin\u00e9aires en dimension finie. Cas multilin\u00e9aire.
\n<\/span>exercice(s) : 6, 7, 8, 11, 12, 13
\n<\/span><\/p>\n
\n

Les r\u00e9unions d\u00e9nombrables d’ouverts sont des ouverts. Les intersections finies d’ouverts sont des ouverts. Les r\u00e9unions finies de ferm\u00e9s sont des ferm\u00e9s. Les intersections finies de ferm\u00e9s sont des ferm\u00e9s. L’image r\u00e9ciproque d’un ouvert par une application continue est ouverte. L’image r\u00e9ciproque d’un ferm\u00e9 par une application continue est ferm\u00e9.<\/span><\/p>\n

correction du DS V<\/span><\/em><\/p>\n

\n

Adh\u00e9rence, partie dense. Convexe.<\/span><\/p>\n

exercice(s) : 17, 18, 19, 25
\n<\/span><\/p>\n

\n

\u00a0<\/span><\/p>\n

exercice(s) : 4, 5, 27, 23<\/span><\/p>\n

\n<\/div>\n
\n

Document de cours : ch12_Cours_evn_lim<\/a><\/big><\/b><\/p>\n

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

TD : ch12_TD_evn_lim<\/a><\/span><\/big><\/b><\/p>\n

r\u00e9sum\u00e9 du cours : Resume_cours_essentiel_2024<\/a><\/strong><\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine du 11\/03 : 20_prog_evn_topo Chapitre XII (suite) Continuit\u00e9 en un point d’une fonction de plusieurs variables. Fonctions lipschitziennes. Continuit\u00e9 des applications lin\u00e9aires en dimension finie. Cas multilin\u00e9aire. exercice(s) : 6, 7, 8, 11, 12,…<\/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":[362],"tags":[],"class_list":["post-32404","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2324"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/32404","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=32404"}],"version-history":[{"count":6,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/32404\/revisions"}],"predecessor-version":[{"id":32463,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/32404\/revisions\/32463"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=32404"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=32404"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=32404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}