{"id":28107,"date":"2022-09-12T13:01:45","date_gmt":"2022-09-12T11:01:45","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=28107"},"modified":"2022-09-16T13:10:45","modified_gmt":"2022-09-16T11:10:45","slug":"semaine-3-du-12-septembre-2022","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2223\/semaine-3-du-12-septembre-2022.html","title":{"rendered":"Semaine 3 du 12 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 19\/09\/2022 : 02_prog_intgen_sernum<\/a>
\n<\/strong><\/span><\/p>\n<\/div>\n

Chapitre II : S\u00e9ries num\u00e9riques<\/strong><\/span>
\nII) Comparaison s\u00e9rie-int\u00e9grales<\/span><\/em>
\nPour une fonction continue (p.m.) d\u00e9croissante positive. Obtention d’\u00e9quivalents de restes de s\u00e9ries convergentes, de sommes partielles de s\u00e9ries divergentes.
\n<\/span><\/em><\/span>exercice(s) 5<\/em>
\n<\/span><\/p>\n
\n

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

III) R\u00e8gle de d’Alembert<\/span><\/em><\/span><\/p>\n

IV) S\u00e9ries altern\u00e9es<\/span><\/span><\/p>\n

Th\u00e9or\u00e8me sp\u00e9cial des s\u00e9ries altern\u00e9es avec signe du reste et majoration de sa valeur absolue.<\/span><\/p>\n

exercice(s) 6.1; \u00e0 chercher pour mercredi exo 9<\/span><\/p>\n

\n

V) Formule de Stirling<\/span>
\n<\/em><\/span>Comportement asymptotique de la suite des sommes partielles de la s\u00e9rie harmonique. Int\u00e9grales de Wallis
\nexercice(s) 9, 8
\n<\/em><\/span><\/p>\n

\n

VI) Produits de Cauchy<\/span>
\nexercice(s) ch.2 : 10, 11, 15, 16
\n<\/span><\/em><\/p>\n

Devoir maison 3 : \u00e0 rendre pour le ve 23\/09\/22 : <\/span>dm03_Series<\/span><\/a><\/p>\n<\/div>\n

\n

Document de cours :<\/p>\n

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

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

dm02_Bertrand<\/a><\/p>\n

TD :
\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 19\/09\/2022 : 02_prog_intgen_sernum Chapitre II : S\u00e9ries num\u00e9riques II) Comparaison s\u00e9rie-int\u00e9grales Pour une fonction continue (p.m.) d\u00e9croissante positive. Obtention d’\u00e9quivalents de restes de s\u00e9ries…<\/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-28107","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\/28107","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=28107"}],"version-history":[{"count":6,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28107\/revisions"}],"predecessor-version":[{"id":28176,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28107\/revisions\/28176"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=28107"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=28107"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=28107"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}