{"id":22,"date":"2015-12-15T22:28:40","date_gmt":"2015-12-15T21:28:40","guid":{"rendered":"http:\/\/mathematicum.univ-pau.fr\/wp\/?page_id=22"},"modified":"2016-01-12T11:25:12","modified_gmt":"2016-01-12T10:25:12","slug":"stages-jeunes-chercheurs-en-mathematique","status":"publish","type":"page","link":"https:\/\/mathematicum.univ-pau.fr\/site\/stages-jeunes-chercheurs-en-mathematique\/","title":{"rendered":"Stages Jeunes Chercheurs en Math\u00e9matique"},"content":{"rendered":"<p>L&rsquo;ensemble des projets qui sont pr\u00e9sent\u00e9s sont pr\u00e9vus pour des p\u00e9riodes d&rsquo;un minimum de 3 jours, jusqu&rsquo;\u00e0 1 semaine.<\/p>\n<p>Ce temps contient la pr\u00e9sentation des sujets et la pr\u00e9paration d&rsquo;un expos\u00e9 en fin de stage. Les sujets \u00ab\u00a0Comment d\u00e9river un nombre\u00a0\u00bb et \u00ab\u00a0Structure des nombres r\u00e9els\u00a0\u00bb sont pr\u00e9vus pour trois groupes chacun. Le but est de faire en sorte que chaque groupe apporte sa vision d&rsquo;une m\u00eame notion.<\/p>\n<p>Ces stages peuvent s&rsquo;inscrire dans certains cas dans un dispositif du rectorat appel\u00e9 \u00ab\u00a0MathC2+\u00a0\u00bb. Pour tout renseignement, veuillez <a href=\"http:\/\/mathematicum.univ-pau.fr\/site\/contact\/\">nous\u00a0contacter<\/a>\u00a0afin de voir comment constituer le dossier avec l&rsquo;aide de l&rsquo;IPR de Math\u00e9matiques. Vous trouverez beaucoup de renseignements utiles sur le site :\u00a0<a href=\"http:\/\/eduscol.education.fr\/cid54958\/mathc2.html\" target=\"_blank\">http:\/\/eduscol.education.fr\/cid54958\/mathc2.html<\/a><\/p>\n<h3>Les ateliers<\/h3>\n<h4><strong>Th\u00e8me : Comment d\u00e9river les nombres ?<\/strong><\/h4>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Une nouvelle d\u00e9finition de la d\u00e9riv\u00e9e<\/h4>\n<p><a href=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2016\/01\/derivee-algebre.pdf\" rel=\"\">derivee-algebre<\/a><\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-198 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/Derivative.jpg\" alt=\"D\u00e9riv\u00e9e\" width=\"85\" height=\"150\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>D\u00e9composition en facteurs premiers<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-199\" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/250px-Spirale_Ulam_150-150x150.jpg\" alt=\"Spirale Ulam\" width=\"150\" height=\"150\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/250px-Spirale_Ulam_150-150x150.jpg 150w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/250px-Spirale_Ulam_150.jpg 250w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>La d\u00e9riv\u00e9e arithm\u00e9tique<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-thumbnail wp-image-200\" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/jumeaux-150x150.png\" alt=\"Jumeaux\" width=\"150\" height=\"150\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/jumeaux-150x150.png 150w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/jumeaux-300x300.png 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/jumeaux.png 403w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4>Th\u00e8me : Structure des nombres r\u00e9els<\/h4>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Les fractions continues<\/h4>\n<\/td>\n<td style=\"text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-201 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/sqrt2-300x108.jpg\" alt=\"sqrt2\" width=\"150\" height=\"54\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/sqrt2-300x108.jpg 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/sqrt2.jpg 540w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Suite de Farey, horloges et calendriers<\/h4>\n<\/td>\n<td style=\"text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-202 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/Farey_diagram_square.png\" alt=\"Diagramme de Farey\" width=\"149\" height=\"164\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>S\u00e9rie de Farey, cercle de Ford et approximation<\/h4>\n<\/td>\n<td style=\"text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-thumbnail wp-image-203\" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/pavage12-150x150.png\" alt=\"Pavage\" width=\"150\" height=\"150\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Fractions continues \u00e0 quotients born\u00e9s et approximation<\/h4>\n<\/td>\n<td style=\"text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-204 size-thumbnail\" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/Euclidean_algorithm_running_time_X_Y-150x150.png\" alt=\"Euclidean_algorithm_running_time_X_Y\" width=\"150\" height=\"150\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/Euclidean_algorithm_running_time_X_Y-150x150.png 150w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/Euclidean_algorithm_running_time_X_Y.png 220w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Ensembles fractals, mesure et dimension<\/h4>\n<\/td>\n<td style=\"text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-205 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/arbre-300x205.png\" alt=\"Arbres fractal\" width=\"149\" height=\"102\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/arbre-300x205.png 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/arbre.png 616w\" sizes=\"auto, (max-width: 149px) 100vw, 149px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Le th\u00e9or\u00e8me de Pick<\/h4>\n<\/td>\n<td style=\"text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-206 size-thumbnail\" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/greco-latin-150x150.png\" alt=\"greco-latin\" width=\"150\" height=\"150\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/greco-latin-150x150.png 150w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/greco-latin-300x300.png 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/greco-latin.png 583w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Objets g\u00e9om\u00e9triques en 3D et Origami<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-207 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/origami-presen-300x200.jpg\" alt=\"Origami\" width=\"150\" height=\"100\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/origami-presen-300x200.jpg 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/origami-presen.jpg 450w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Les preuves sans mots<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-208 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/preuves-sans-mots-300x153.jpg\" alt=\"Preuves sans mots\" width=\"151\" height=\"77\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/preuves-sans-mots-300x153.jpg 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/preuves-sans-mots.jpg 562w\" sizes=\"auto, (max-width: 151px) 100vw, 151px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Le Jeu de Hex<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-209 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/hex-game.jpg\" alt=\"Jeu de Hex\" width=\"150\" height=\"99\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Courbure des surfaces discr\u00e8tes et caract\u00e9ristique d&rsquo;Euler<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-210 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/triangul-300x193.jpg\" alt=\"triangul\" width=\"150\" height=\"97\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/triangul-300x193.jpg 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/triangul-768x494.jpg 768w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/triangul-624x402.jpg 624w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/triangul.jpg 988w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>La planche de Galton-Hennequin<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-211 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/galton2-300x248.jpg\" alt=\"Planche de Galton\" width=\"150\" height=\"124\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/galton2-300x248.jpg 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/galton2-768x636.jpg 768w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/galton2-1024x848.jpg 1024w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/galton2-624x517.jpg 624w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/galton2.jpg 1350w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Google, les graphes et son algorithme de classement des pages du web<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-212 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/Math_Finance-300x225.jpg\" alt=\"R\u00e9seaux\" width=\"149\" height=\"112\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/Math_Finance-300x225.jpg 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/Math_Finance.jpg 500w\" sizes=\"auto, (max-width: 149px) 100vw, 149px\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; vertical-align: middle;\">\n<h4>Suites, Chaos et graphes de Markov<\/h4>\n<\/td>\n<td style=\"width: 160px; text-align: center; vertical-align: middle;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-213 \" src=\"http:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/lorenz-300x185.png\" alt=\"Lorenz\" width=\"150\" height=\"93\" srcset=\"https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/lorenz-300x185.png 300w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/lorenz-768x472.png 768w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/lorenz-624x384.png 624w, https:\/\/mathematicum.univ-pau.fr\/site\/wp-content\/uploads\/2015\/12\/lorenz.png 800w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>L&rsquo;ensemble des projets qui sont pr\u00e9sent\u00e9s sont pr\u00e9vus pour des p\u00e9riodes d&rsquo;un minimum de 3 jours, jusqu&rsquo;\u00e0 1 semaine. Ce temps contient la pr\u00e9sentation des sujets et la pr\u00e9paration d&rsquo;un expos\u00e9 en fin de stage. Les sujets \u00ab\u00a0Comment d\u00e9river un nombre\u00a0\u00bb et \u00ab\u00a0Structure des nombres r\u00e9els\u00a0\u00bb sont pr\u00e9vus pour trois groupes chacun. Le but est [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-22","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":7,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":328,"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/pages\/22\/revisions\/328"}],"wp:attachment":[{"href":"https:\/\/mathematicum.univ-pau.fr\/site\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}