{"id":28865,"date":"2022-12-12T12:03:43","date_gmt":"2022-12-12T10:03:43","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=28865"},"modified":"2022-12-16T16:18:33","modified_gmt":"2022-12-16T14:18:33","slug":"semaine-13-du-12-au-16-decembre-2022","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2223\/semaine-13-du-12-au-16-decembre-2022.html","title":{"rendered":"semaine 13 du 12 au 16 d\u00e9cembre 2022"},"content":{"rendered":"
\n

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

programme de la semaine du 03\/01\/2023 : 13_prog_reduc_evn<\/a>
\n<\/span><\/p>\n<\/div>\n

\n

Chapitre IX : Espaces vectoriels norm\u00e9s.
\n<\/strong>Boules ouvertes, parties born\u00e9es, suites born\u00e9es, fonctions corn\u00e9es. Produit scalaire et norme associ\u00e9e.
\n<\/strong><\/span><\/p>\n

exercice(s) 3, 6
\n<\/span><\/p>\n

\n

Normes \u00e9quivalentes. Equivalence des normes en dimension finie.<\/span><\/p>\n

exercice(s) : 5, 7, 8
\n<\/span><\/p>\n

\n

Limite d’une suite vectorielle. Op\u00e9rations
\n<\/span><\/p>\n

exercice(s) : 4, 10
\n<\/span><\/p>\n

\n

Chapitre X : Continuit\u00e9 et limites d’une fonction vectorielle
\n<\/strong>Introduction : fonction de R^p vers R^q ; liens avec la notion de champ de vecteurs en physique, interpr\u00e9tation graphique de la notion de continuit\u00e9 d’une fonction vectorielle de la variable vectorielle.
\nPoint adh\u00e9rent \u00e0 une partie de R^p. Limite d’une fonction f:E->F ; caract\u00e9risation s\u00e9quentielle de la limite, op\u00e9rations (composition, combinaisons lin\u00e9aires) sur les limites de fonctions.
\nContinuit\u00e9 d’une fonction f:E->F ; utilisation des fonctions composantes en dimension finie.<\/span><\/p>\n

Pour les absents, jusqu’\u00e0 la page 4\/9, avant le paragraphe II.3 qui sera vu \u00e0 la rentr\u00e9e<\/p>\n

 <\/p>\n

exercice(s) : 10 chapitre IX ;<\/span><\/p>\n<\/div>\n

\n

Document de cours : ch09_Cours_evn<\/a><\/p>\n

ch10_Cours_lim_cont<\/a><\/p>\n

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

TD : ch09_TD_evn<\/a>
\nch10_TD_lim_cont<\/a>
\n<\/span><\/big><\/b><\/big><\/b><\/p>\n

09_dm09_reduc<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine \u00e0 venir : programme de la semaine du 03\/01\/2023 : 13_prog_reduc_evn Chapitre IX : Espaces vectoriels norm\u00e9s. Boules ouvertes, parties born\u00e9es, suites born\u00e9es, fonctions corn\u00e9es. Produit scalaire et norme associ\u00e9e. exercice(s) 3, 6 Normes…<\/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-28865","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\/28865","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=28865"}],"version-history":[{"count":7,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28865\/revisions"}],"predecessor-version":[{"id":28927,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28865\/revisions\/28927"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=28865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=28865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=28865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}