{"id":20605,"date":"2020-01-08T13:38:37","date_gmt":"2020-01-08T13:38:37","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=20605"},"modified":"2020-01-08T13:55:14","modified_gmt":"2020-01-08T13:55:14","slug":"semaine-15-du-06-01-au-10-01-2020-maths-pc","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-1920\/semaine-15-du-06-01-au-10-01-2020-maths-pc.html","title":{"rendered":"Semaine 15 du 06\/01 au 10\/01 2020 Maths PC"},"content":{"rendered":"
\n

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

colles de la semaine du 13\/01\/2020 : 13_prog_probas_DSE<\/a>
\n<\/span><\/p>\n<\/div>\n

\n

Ch X : S\u00e9ries enti\u00e8res
\n<\/strong><\/span><\/p>\n

1) S\u00e9ries enti\u00e8res de la variable complexe.<\/span><\/span><\/strong><\/p>\n

D\u00e9finitions, notations, exemples. Rayon de convergence. Exemples.
\n<\/span><\/p>\n

exercice(s) 1a, 1c), 1d), 2
\n<\/em><\/span><\/p>\n

\n

S\u00e9ries enti\u00e8res de r\u00e9f\u00e9rence : exponentielle, g\u00e9om\u00e9trique.<\/span><\/p>\n

2) S\u00e9ries enti\u00e8res de la variable\u00a0 r\u00e9elle.<\/span><\/span><\/strong><\/p>\n

Convergence normale sur les segments de l’ouvert de convergence. Th\u00e9or\u00e8me de continuuit\u00e9 de la somme d’une s\u00e9rie enti\u00e8re.<\/span><\/p>\n

exercice(s) 4, 9 a) b)\u00a0 d) f)<\/em><\/span><\/p>\n

\n

D\u00e9rivation terme \u00e0 terme d’une s\u00e9rie enti\u00e8re. D\u00e9veloppements en s\u00e9rie enti\u00e8re usuels par int\u00e9gration ou d\u00e9rivation terme \u00e0 terme.
\n<\/span><\/p>\n

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

\n

Lien avec les \u00e9quations diff\u00e9rentielles. D.S.E. de x–>(1+x)^a<\/span><\/p>\n

exercice(s) 12
\n<\/em><\/span><\/p>\n<\/div>\n

\n

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

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

Programme de colles de la semaine \u00e0 venir colles de la semaine du 13\/01\/2020 : 13_prog_probas_DSE Ch X : S\u00e9ries enti\u00e8res 1) S\u00e9ries enti\u00e8res de la variable complexe. D\u00e9finitions, notations, exemples. Rayon de convergence. Exemples. exercice(s) 1a, 1c), 1d), 2…<\/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":[271],"tags":[],"class_list":["post-20605","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-1920"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/20605","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=20605"}],"version-history":[{"count":4,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/20605\/revisions"}],"predecessor-version":[{"id":20611,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/20605\/revisions\/20611"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=20605"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=20605"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=20605"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}