{"id":28020,"date":"2022-09-05T15:59:25","date_gmt":"2022-09-05T13:59:25","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=28020"},"modified":"2024-07-04T09:32:27","modified_gmt":"2024-07-04T07:32:27","slug":"semaine-2-du-5-septembre-2022","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2223\/semaine-2-du-5-septembre-2022.html","title":{"rendered":"Semaine 2 du 5 septembre 2022"},"content":{"rendered":"
\n

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

programme de colles de la semaine du 12\/09\/2022 : 01_prog_intgen<\/a>
\n<\/strong><\/span><\/p>\n<\/div>\n

Chapitre I : Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es<\/strong><\/span>
\nII) Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es sur [a,+\\infty[<\/span><\/em>
\nD\u00e9finition, exemples, int\u00e9grales de Riemann, exponentielle. CNS de convergence pour une fonction positive (c.p.m.). Comparaison entre fonctions positives.
\nII) Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es sur un intervalle quelconque<\/span><\/em>
\nD\u00e9finition sur ]a,b] ;\u00a0 exemples, int\u00e9grale $\\int_0^1 \\ln t dt$
\nexercice(s) 7, 1 ; \u00e0 chercher pour mardi : <\/em>4, 2,3, 5
\n<\/em>
\n<\/span><\/p>\n
\n

\u00a0 int\u00e9grales de Riemann $\\int_0^1 t^{-b} dt$ ; D\u00e9<\/em><\/em>finition sur un intervalle quelconque ;<\/em> Propri\u00e9t\u00e9s usuelles (lin\u00e9arit\u00e9, positivit\u00e9, croissance, Relation de Chasles,
\nexercice(s) 4, 2, 3, 5, 9\u00a0 ; \u00e0 chercher pour mercredi : 9 variante directe par comparaison<\/em><\/span><\/p>\n

\n

Changement de variables g\u00e9n\u00e9ralis\u00e9. Th\u00e9or\u00e8mes de comparaison.
\n<\/em><\/span>exercice(s) 9 variante par comparaison, 6, 8, 10, 11
\n<\/em><\/span><\/p>\n

\n

exercice(s)\u00a0\u00a0 ch.1 : 12, 14, 15
\n<\/span><\/em><\/p>\n

Devoir maison 2 : int\u00e9grales de Bertrand, \u00e0 rendre pour le ve 16\/09\/22 : dm02_Bertrand<\/a><\/p>\n

Chapitre II : S\u00e9ries num\u00e9riques<\/span><\/span><\/p>\n

Rappels de PCSI :sommes partielles, somme d’une s\u00e9rie num\u00e9rique, absolue convergence.<\/span><\/p>\n<\/div>\n

\n

Document de cours :ch01_Cours_Int_Gen_2022<\/a><\/p>\n

ch02_Cours_Ser_Num_2022<\/a><\/p>\n

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

DM1 dm01_vacances<\/a><\/p>\n

TD : ch01_TD_Int_Gen_2022<\/a>
\nch02_TD_Ser_Num_2022<\/a><\/span><\/big><\/b><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine \u00e0 venir : programme de colles de la semaine du 12\/09\/2022 : 01_prog_intgen Chapitre I : Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es II) Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es sur [a,+\\infty[ D\u00e9finition, exemples, int\u00e9grales de Riemann, exponentielle. CNS de convergence pour une…<\/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":[335],"tags":[],"class_list":["post-28020","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2223"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28020","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=28020"}],"version-history":[{"count":8,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28020\/revisions"}],"predecessor-version":[{"id":28110,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28020\/revisions\/28110"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=28020"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=28020"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=28020"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}