{"id":34733,"date":"2025-01-02T11:02:57","date_gmt":"2025-01-02T09:02:57","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=34733"},"modified":"2025-01-10T10:26:59","modified_gmt":"2025-01-10T08:26:59","slug":"semaine-15-du-06-01-au-10-01-2","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/non-classe\/semaine-15-du-06-01-au-10-01-2.html","title":{"rendered":"Semaine 15 du 06\/01 au 10\/01"},"content":{"rendered":"
\n

Programme de colles de la semaine du 13\/01 au 17\/01 : 15_prog_probas_iparam<\/a>
\n<\/span><\/big><\/b><\/p>\n<\/div>\n

\n

Chapitre IX Int\u00e9grales \u00e0 param\u00e8tre
\n<\/strong><\/span><\/span><\/p>\n

Exemples d’int\u00e9grales \u00e0 param\u00e8tre : la fonction Gamma, transform\u00e9e de Laplace, transform\u00e9e de Fourier. Enonc\u00e9 du th\u00e9or\u00e8me de continuit\u00e9 d’une int\u00e9grale \u00e0 param\u00e8tre. Application \u00e0 la fonction $latex \\Gamma:x\\longmapsto\\int_0^{\\infty}t^{x-1}e^{-t}\\ \\mathrm{d}t$
\n<\/span><\/p>\n

exercice(s) : \u00e0 chercher pour mardi : exercice 1
\n<\/em><\/span><\/p>\n

\n

D\u00e9monstration du th\u00e9or\u00e8me de continuit\u00e9 d’une int\u00e9grale \u00e0 param\u00e8tre. Th\u00e9or\u00e8me de \u00ab\u00a0convergence domin\u00e9e \u00e0 param\u00e8tre continu\u00a0\u00bb pour une limite en une borne de la fonction d\u00e9finie par une int\u00e9grale \u00e0 param\u00e8tre.
\n<\/span><\/p>\n

exercice(s) : 1, 6
\n<\/span><\/p>\n

\n

D\u00e9rivation d’une int\u00e9grale \u00e0 param\u00e8tre. Exemple de la fonction $\\Gamma$.<\/span><\/p>\n

D\u00e9rivations successives terme \u00e0 terme.<\/span><\/p>\n

exercice(s) : 7, 8, 14
\n<\/span><\/p>\n

\n

 <\/p>\n

exercice(s) : 10, 9
\n<\/span><\/p>\n<\/div>\n

\n

Notes de cours : ch09_iparam<\/a>
\n<\/span><\/p>\n

Documents distribu\u00e9s : <\/span><\/big><\/b><\/span>TD : td08_iparam<\/a><\/span><\/span><\/big><\/b><\/big><\/b><\/p>\n

 <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine du 13\/01 au 17\/01 : 15_prog_probas_iparam Chapitre IX Int\u00e9grales \u00e0 param\u00e8tre Exemples d’int\u00e9grales \u00e0 param\u00e8tre : la fonction Gamma, transform\u00e9e de Laplace, transform\u00e9e de Fourier. Enonc\u00e9 du th\u00e9or\u00e8me de continuit\u00e9 d’une int\u00e9grale \u00e0 param\u00e8tre.…<\/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":[386,1],"tags":[],"class_list":["post-34733","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2425","category-non-classe"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/34733","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=34733"}],"version-history":[{"count":10,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/34733\/revisions"}],"predecessor-version":[{"id":34831,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/34733\/revisions\/34831"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=34733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=34733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=34733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}