{"id":26010,"date":"2021-09-14T14:35:04","date_gmt":"2021-09-14T14:35:04","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=26010"},"modified":"2021-09-17T09:13:40","modified_gmt":"2021-09-17T09:13:40","slug":"semaine-3-du-13-au-17-septembre-2021","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2122\/semaine-3-du-13-au-17-septembre-2021.html","title":{"rendered":"Semaine 3 du 13 au 17 septembre 2021"},"content":{"rendered":"
\n

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

programme de colles \u00e0 venir : 02_prog_intgen_evn<\/a>
\n<\/span><\/p>\n<\/div>\n

\n

Ch I : Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es (suite)
\n<\/strong><\/span><\/p>\n

Les espaces CML^1 et C^0L^1(I,\\K)<\/span><\/p>\n

in\u00e9galit\u00e9 de Cauchy-Schwarz pour des int\u00e9grales g\u00e9n\u00e9ralis\u00e9es.<\/span>
\nexercice(s) 14, 17, 18
\n<\/em><\/span><\/p>\n

\n

Ch II : Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es (suite)<\/strong>
\n0. Rappels de PCSI<\/span><\/span><\/p>\n

Produits scalaires, normes. Projection sur un s..e-v. de dimension finie, utilisation de bases orthonorm\u00e9es.
\n<\/span><\/p>\n

I) Normes en dimension finie.<\/span><\/span><\/p>\n

Normes 1, 2, infinie sur R^n. Normes \u00e9quivalentes. En dimension finie toutes les normes sont \u00e9quivalentes. Boules ferm\u00e9es. exemples
\n<\/span><\/p>\n

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

A CHERCHER pour mardi 15\/09 :\u00a0 exercice 3
\n<\/strong><\/em><\/p>\n

\n

Boules ouvertes, parties born\u00e9es.<\/span><\/p>\n

II) Limites d’une suite vectorielle.<\/span>
\n<\/span><\/p>\n

exercice(s) 3, 11<\/em><\/span><\/p>\n

\n

III) Continuit\u00e9.<\/span>
\n<\/span><\/p>\n

exercice(s) 12.1, 12.2<\/span>
\n<\/em><\/p>\n

\n

Samedi 18\/09\/2021 : Devoir surveill\u00e9 n\u00b02 (dur\u00e9e 2h)<\/span><\/p>\n<\/div>\n

\n

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

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

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

Programme de colles de la semaine \u00e0 venir programme de colles \u00e0 venir : 02_prog_intgen_evn Ch I : Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es (suite) Les espaces CML^1 et C^0L^1(I,\\K) in\u00e9galit\u00e9 de Cauchy-Schwarz pour des int\u00e9grales g\u00e9n\u00e9ralis\u00e9es. exercice(s) 14, 17, 18 Ch II :…<\/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-26010","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\/26010","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=26010"}],"version-history":[{"count":4,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26010\/revisions"}],"predecessor-version":[{"id":26056,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26010\/revisions\/26056"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=26010"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=26010"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=26010"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}