{"id":207,"date":"2014-02-28T06:45:17","date_gmt":"2014-02-28T06:45:17","guid":{"rendered":"http:\/\/www.mikaelmayer.com\/reflex\/?p=207"},"modified":"2014-02-28T06:48:34","modified_gmt":"2014-02-28T06:48:34","slug":"analyse-iv-a-lepfl-serie-2","status":"publish","type":"post","link":"http:\/\/www.mikaelmayer.com\/reflex\/2014\/02\/28\/analyse-iv-a-lepfl-serie-2\/","title":{"rendered":"Analyse IV \u00e0 l\u2019EPFL - S\u00e9rie 2"},"content":{"rendered":"<p>Le diaporama relatif aux exercices de la s\u00e9rie 2 est disponible ci-dessous.\u00a0Il contient notamment<\/p>\n<ul>\n<li>La preuve visuelle que real(z)^2 n'est pas holomorphe<\/li>\n<li><span style=\"line-height: 1.5em;\">La d\u00e9finition de la fonction exponentielle par multiplication<\/span><\/li>\n<li>Les deux exercices de d\u00e9termination de fonction holomorphe \u00e0 partir de sa partie r\u00e9elle.<\/li>\n<li>Un bonus non pr\u00e9sent\u00e9 en classe: comment trouver les z\u00e9ros de la derni\u00e8re fonction? Avec la m\u00e9thode de Newton, on fait converger la fonction localement vers ses z\u00e9ros et cela donne une esp\u00e8ce de fractale autour de ces points.<\/li>\n<li>Une vid\u00e9o montrant la fonction racine carr\u00e9e multivoque<\/li>\n<\/ul>\n<p><a title=\"Version PDF\" href=\"https:\/\/www.dropbox.com\/s\/vvyhxrk1mv0nuuy\/Ex2.pdf\">https:\/\/www.dropbox.com\/s\/vvyhxrk1mv0nuuy\/Ex2.pdf <\/a><br \/>\n<a href=\"Version Powerpoint\">https:\/\/www.dropbox.com\/s\/zya00hng2etn475\/Ex2.pptx<\/a><br \/>\nMerci pour votre participation et votre enthousiasme !<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Le diaporama relatif aux exercices de la s\u00e9rie 2 est disponible ci-dessous.\u00a0Il contient notamment La preuve visuelle que real(z)^2 n'est pas holomorphe La d\u00e9finition de la fonction exponentielle par multiplication Les deux exercices de d\u00e9termination de fonction holomorphe \u00e0 partir de sa partie r\u00e9elle. Un bonus non pr\u00e9sent\u00e9 en classe: comment trouver les z\u00e9ros de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"ngg_post_thumbnail":0},"categories":[8,7],"tags":[],"_links":{"self":[{"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/posts\/207"}],"collection":[{"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/comments?post=207"}],"version-history":[{"count":5,"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/posts\/207\/revisions"}],"predecessor-version":[{"id":212,"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/posts\/207\/revisions\/212"}],"wp:attachment":[{"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/media?parent=207"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/categories?post=207"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.mikaelmayer.com\/reflex\/wp-json\/wp\/v2\/tags?post=207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}