{"id":30384,"date":"2023-09-11T17:44:56","date_gmt":"2023-09-11T15:44:56","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=30384"},"modified":"2023-09-16T18:07:03","modified_gmt":"2023-09-16T16:07:03","slug":"semaine-2-du-11-09-2023","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2324\/semaine-2-du-11-09-2023.html","title":{"rendered":"Semaine 2 du 11\/09\/2023"},"content":{"rendered":"
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Programme de colles de la semaine du 18\/09 : 02_prog_intgen_series<\/a>
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Chapitre I : Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es (suite)<\/strong><\/span><\/p>\n

CNS de convergence pour l’int\u00e9grale d’une fonction continue par morceaux et positive.
\n<\/span><\/p>\n

Comparaison entre fonctions positives.<\/span><\/p>\n

Int\u00e9grales de Riemann sur [0,1], cas du logarithme n\u00e9p\u00e9rien.<\/span><\/p>\n

exercice(s) : 5, 6
\n<\/span><\/p>\n

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Propri\u00e9t\u00e9s usuelles des int\u00e9grales g\u00e9n\u00e9ralis\u00e9es : lin\u00e9arit\u00e9, croissance, positivit\u00e9, relation de Chasles, changement de variables C1 bijectif, int\u00e9gration par parties g\u00e9n\u00e9ralis\u00e9e.<\/span><\/p>\n

Comparaison via un \u00e9quivalent en une borne impropre pour \u00e9tudier la nature. Comparaison via une majoration de la valeur absolue en une borne impropre pour montrer la convergence.<\/span><\/p>\n

exercice(s) : 9, 10, 2.1 et 2.2
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chercher 2.3 et 12 pour mercredi<\/span><\/em><\/p>\n

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exercice(s) :2.3, 12, 14, 15.1
\n<\/span><\/p>\n

chercher 15(fin) pour mercredi<\/em><\/p>\n

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chapitre I, exercice 15 (fin)<\/span><\/span>
\nChapitre II : S\u00e9ries num\u00e9riques : rappels et compl\u00e9ments<\/span><\/span><\/strong><\/p>\n

Rappels de PCSI : s\u00e9ries, sommes partielles, nature. Somme d’une s\u00e9rie convergente; Absolue convergence; S\u00e9ries de Riemann, th\u00e9or\u00e8mes de comparaison.
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 <\/p>\n<\/div>\n

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Document de cours : ch01_Cours_Int_Gen_2023<\/a>
\nDocuments distribu\u00e9s :<\/span><\/big><\/b><\/big><\/b><\/p>\n

ch02_Cours_Ser_Num_2023<\/a><\/p>\n

TD : ch01_TD_Int_Gen_2023<\/a><\/span><\/big><\/b><\/p>\n

Devoirs : dm02_Integration<\/a>
\n<\/strong><\/span><\/p>\n

DS 1 le 15\/09\/2023 : DS1M_etoile<\/a> DS1M_suitesWallis_Quadrature<\/a> DS1M_suitesWallis_Quadrature_corr<\/a><\/p>\n

DM2 \u00e0 chercher pour le 22\/09\/2023 : dm02_Integration<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine du 18\/09 : 02_prog_intgen_series Chapitre I : Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es (suite) CNS de convergence pour l’int\u00e9grale d’une fonction continue par morceaux et positive. Comparaison entre fonctions positives. Int\u00e9grales de Riemann sur [0,1], cas du logarithme…<\/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-30384","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\/30384","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=30384"}],"version-history":[{"count":10,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/30384\/revisions"}],"predecessor-version":[{"id":30504,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/30384\/revisions\/30504"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=30384"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=30384"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=30384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}