{"id":25838,"date":"2021-09-06T08:00:49","date_gmt":"2021-09-06T08:00:49","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=25838"},"modified":"2021-09-14T14:35:46","modified_gmt":"2021-09-14T14:35:46","slug":"semaine-2-du-06-au-11-septembre-2021","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2122\/semaine-2-du-06-au-11-septembre-2021.html","title":{"rendered":"Semaine 2 du 06 au 11 septembre 2021"},"content":{"rendered":"
\n

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

les colles d\u00e9marreront la semaine du 13\/09 : programme de colles \u00e0 venir\u00a0 01_prog_intgen<\/a>
\n<\/span><\/p>\n<\/div>\n

\n

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

Int\u00e9grales de Riemann sur [1,+\\infty[. Exponentielles d\u00e9croissantes.<\/span><\/p>\n

II-2. Int\u00e9grale g\u00e9n\u00e9ralis\u00e9e d’une fonction continue sur un intervalle quelconque<\/span>
\n<\/span><\/p>\n

Logarithme sur ]0,1]. Int\u00e9grales de Riemann sur ]0,1].<\/span><\/p>\n

II-3) Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es sur [1,+\\infty[.
\n<\/span><\/span><\/p>\n

D\u00e9finitions. Prolongement par continuit\u00e9 en une borne finie.
\n<\/span><\/p>\n

exercice(s) 3, 7, 13<\/span>
\n<\/em><\/span><\/p>\n

\n

III. Convergence d’int\u00e9grales g\u00e9n\u00e9ralis\u00e9es. Fonctions int\u00e9grables<\/span><\/span><\/p>\n

Continuit\u00e9 par morceaux. D\u00e9finition, notations. Int\u00e9grabilit\u00e9.
\n<\/span><\/p>\n

exercice(s) 6, 1.1, 1.2
\n<\/em><\/span><\/p>\n

\n

Propri\u00e9t\u00e9s : positivit\u00e9, croissance, th\u00e9or\u00e8mes de comparaisons. Relation de Chasles. Nullit\u00e9 d’une fonction continue positive d’int\u00e9grale nulle.
\n<\/span><\/p>\n

exercice(s) 2, 11, 9<\/span> <\/em><\/span><\/p>\n

\n

Int\u00e9grations par parties g\u00e9n\u00e9ralis\u00e9es. Changement de variable dans une int\u00e9grale g\u00e9n\u00e9ralis\u00e9e convergente.
\n<\/span><\/p>\n

exercice(s) 15, 14.1<\/span>
\n<\/em><\/p>\n

A CHERCHER pour lundi 13\/09 : fin exercice 14<\/strong><\/em><\/span><\/p>\n

\n

Samedi 11\/09\/2021 : Devoir surveill\u00e9 n\u00b01 (dur\u00e9e 2h) : DS1<\/a>
\n<\/span><\/p>\n<\/div>\n

\n

Document de cours : Cours_int_generalisees_2021_v2<\/a><\/p>\n

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

TD : TD_int_generalisees_21_22<\/a><\/span><\/big><\/b><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine \u00e0 venir les colles d\u00e9marreront la semaine du 13\/09 : programme de colles \u00e0 venir\u00a0 01_prog_intgen Ch I : Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es (suite) Int\u00e9grales de Riemann sur [1,+\\infty[. Exponentielles d\u00e9croissantes. II-2. Int\u00e9grale g\u00e9n\u00e9ralis\u00e9e d’une fonction…<\/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-25838","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\/25838","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=25838"}],"version-history":[{"count":7,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/25838\/revisions"}],"predecessor-version":[{"id":26015,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/25838\/revisions\/26015"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=25838"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=25838"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=25838"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}