{"id":35290,"date":"2025-02-27T10:05:05","date_gmt":"2025-02-27T08:05:05","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=35290"},"modified":"2025-02-28T10:19:33","modified_gmt":"2025-02-28T08:19:33","slug":"semaine-20-du-24-02-au-28-02","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2425\/semaine-20-du-24-02-au-28-02.html","title":{"rendered":"Semaine 20 du 24\/02 au 28\/02"},"content":{"rendered":"
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Programme de colles, semaine du 03 au 07 mars 2025 : 19_prog_va_topo<\/a>
\n<\/span><\/big><\/b><\/p>\n<\/div>\n

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Devoir Surveill\u00e9<\/strong> LV1<\/span><\/p>\n

exercice(s) : r\u00e9visions s\u00e9ries de fonctions<\/em><\/span><\/p>\n

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Variance de aX+b. Interpr\u00e9tations statistiques de la moyenne et de la variance pour des moyennes empiriques.<\/span><\/p>\n

Chapitre XII Espaces vectoriels norm\u00e9s, limites, continuit\u00e9. El\u00e9ments de Topologie.<\/strong><\/span><\/p>\n

Introduction : rappels de PCSI sur les suites r\u00e9elles ou complexes, les fonctions de la variable r\u00e9elle. Notion de distance pour quantifier la notion de limite d’une suite r\u00e9elle ou vectorielle. Notion de distance pour quantifier la notion de continuit\u00e9 pour une fonction entre espaces vectoriels norm\u00e9s.<\/span><\/p>\n

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Normes usuelles sur R^n\u00a0 : norme 1, norme 2, norme infinie; Norme sur $M_n(R)$.<\/span><\/p>\n

Normes \u00e9quivalentes. En dimension finie toutes les normes sont \u00e9quivalentes. Boules ouvertes, ferm\u00e9es, dessins pour les normes usuelles sur R^2 ou R^3. Boule ouverte, boule ferm\u00e9e. Partie born\u00e9e.<\/span><\/p>\n

exercice(s) : 1, 3.1, 8<\/span><\/p>\n

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Suite vectorielle born\u00e9e, fonction born\u00e9e (entre espaces vectoriels). Limite d’une suite vectorielle, propri\u00e9t\u00e9s usuelles.<\/span><\/p>\n

exercice(s) : 20, 7, 6<\/span><\/p>\n<\/div>\n

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Notes de cours : ch12_EVN_lim_cont<\/a> <\/span><\/p>\n

Documents distribu\u00e9s : <\/span><\/big><\/b><\/span>TD td12_EVN_lim_cont<\/a>
\n<\/span><\/span><\/big><\/b><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles, semaine du 03 au 07 mars 2025 : 19_prog_va_topo Devoir Surveill\u00e9 LV1 exercice(s) : r\u00e9visions s\u00e9ries de fonctions Variance de aX+b. Interpr\u00e9tations statistiques de la moyenne et de la variance pour des moyennes empiriques. Chapitre XII Espaces…<\/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":[386],"tags":[],"class_list":["post-35290","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2425"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/35290","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=35290"}],"version-history":[{"count":6,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/35290\/revisions"}],"predecessor-version":[{"id":35308,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/35290\/revisions\/35308"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=35290"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=35290"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=35290"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}