{"id":26104,"date":"2021-09-22T08:18:19","date_gmt":"2021-09-22T08:18:19","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=26104"},"modified":"2021-09-25T13:22:33","modified_gmt":"2021-09-25T13:22:33","slug":"semaine-4-du-20-au-24-septembre-2021","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2122\/semaine-4-du-20-au-24-septembre-2021.html","title":{"rendered":"Semaine 4 du 20 au 24 septembre 2021"},"content":{"rendered":"
\n

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

programme de colles \u00e0 venir : 03_prog_intgen_evn_seriesnum<\/a>
\n<\/span><\/p>\n<\/div>\n

\n

Ch II (fin) :
\n<\/strong><\/span><\/p>\n

Continuit\u00e9 des fonctions de plusieurs variables. Cas de la dimension finie. Applications lipschitziennes<\/span>
\nexercice(s)
\n<\/em><\/span><\/p>\n

\n

Ch III : S\u00e9ries num\u00e9riques<\/strong>
\nI. Rappels de PCSI<\/span><\/span><\/p>\n

S\u00e9ries num\u00e9riques : suite des sommes partielles, convergence d’une s\u00e9rie num\u00e9rique. Somme d’une s\u00e9rie convergente. Divergence. Absolue convergence, grossi\u00e8re divergence, exemples.Th\u00e9or\u00e8mes de comparaison (entre s\u00e9ries positives, \u00e0 une s\u00e9rie positive via in\u00e9galit\u00e9, grand 0 ou \u00e9quivalent).
\n<\/span><\/p>\n

S\u00e9ries g\u00e9om\u00e9triques.<\/span><\/p>\n

exercice(s) 1,2<\/span><\/em><\/span>
\n<\/strong><\/em><\/p>\n

\n

S\u00e9ries de Riemann.<\/span><\/p>\n

II) Propri\u00e9t\u00e9s avanc\u00e9es.<\/span>
\n<\/span><\/p>\n

Comparaison s\u00e9rie-int\u00e9grale. R\u00e8gle de d’Alembert des s\u00e9ries num\u00e9riques. S\u00e9rie exponentielle.
\n<\/span><\/p>\n

exercice(s) 8, 17
\n<\/em><\/span><\/p>\n

\n

Crit\u00e8re sp\u00e9cial des s\u00e9ries altern\u00e9es.
\n<\/span><\/p>\n

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

\n

\u00e0 rendre vendredi 24\/09 :\u00a0 dm 1 int\u00e9grales g\u00e9n\u00e9ralis\u00e9es.
\n<\/span><\/p>\n

\u00e0 chercher pour vendredi 08\/10 :\u00a0 dm 2 produits scalaires, polyn\u00f4mes et int\u00e9grales dm02<\/a><\/p>\n<\/div>\n

\n

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

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

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

Programme de colles de la semaine \u00e0 venir programme de colles \u00e0 venir : 03_prog_intgen_evn_seriesnum Ch II (fin) : Continuit\u00e9 des fonctions de plusieurs variables. Cas de la dimension finie. Applications lipschitziennes exercice(s) Ch III : S\u00e9ries num\u00e9riques I. Rappels…<\/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-26104","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\/26104","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=26104"}],"version-history":[{"count":6,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26104\/revisions"}],"predecessor-version":[{"id":26155,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26104\/revisions\/26155"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=26104"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=26104"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=26104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}