{"id":37866,"date":"2026-01-17T10:33:54","date_gmt":"2026-01-17T08:33:54","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=37866"},"modified":"2026-01-23T13:15:47","modified_gmt":"2026-01-23T11:15:47","slug":"semaine-17-du-19-au-23-janvier-2","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2526\/semaine-17-du-19-au-23-janvier-2.html","title":{"rendered":"Semaine 17 : du 19 au 23 janvier"},"content":{"rendered":"
\n

Programme de colles de la semaine 18 (du 26 au 30 janvier)
\n<\/span><\/big><\/b><\/p>\n

Colle n\u00b016<\/a><\/p>\n<\/div>\n

\n

Cours<\/strong><\/span><\/p>\n

– Mardi :<\/strong> chapitre 9b Topologie et applications continues<\/strong> :
\nI) Topologie : densit\u00e9
\nII) Limite et continuit\u00e9 d’une application en un point
\nIII) Applications continues : continuit\u00e9 sur une partie, fonctions lipschitziennes<\/p>\n

– Jeudi : <\/strong> chapitre 9b Topologie et applications continues<\/strong> :
\nIII) Applications continues : lien avec la topologie
\nIV) Cas de la dimension finie : utilisation des fonctions coordonn\u00e9es (F de dimension finie), th\u00e9or\u00e8me des bornes atteintes (E de dimension finie) <\/p>\n

– Vendredi :<\/strong> chapitre 9b Topologie et applications continues<\/strong> :
\nIV) Cas de la dimension finie : continuit\u00e9 des applications lin\u00e9aires, multilin\u00e9aires et polynomiales.<\/p>\n<\/div>\n

\n

Travaux dirig\u00e9s
\n<\/span><\/big><\/b><\/p>\n

Exercices \u00e0 chercher pour
\n– mardi<\/strong> : TD 8 bis exercices 7, 5 – TD 9 exercices 1 \u00e0 4, d\u00e9but du 5
\n– jeudi<\/strong> : TD 9 exercices 5, d\u00e9but du 7
\n– vendredi<\/strong> : TD 9 exercice 7\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine 18 (du 26 au 30 janvier) Colle n\u00b016 Cours – Mardi : chapitre 9b Topologie et applications continues : I) Topologie : densit\u00e9 II) Limite et continuit\u00e9 d’une application en un point III) Applications…<\/p>\n

Read more →<\/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-37866","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\/37866","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=37866"}],"version-history":[{"count":3,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/37866\/revisions"}],"predecessor-version":[{"id":37868,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/37866\/revisions\/37868"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=37866"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=37866"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=37866"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}