{"id":2955,"date":"2022-01-31T22:28:07","date_gmt":"2022-01-31T21:28:07","guid":{"rendered":"https:\/\/lyon-geologie.univ-lyon1.fr\/?page_id=2955"},"modified":"2022-02-13T21:04:32","modified_gmt":"2022-02-13T20:04:32","slug":"l2-math1","status":"publish","type":"page","link":"https:\/\/lyongeologie.fr\/en\/l2-geosciences\/l2-math1\/","title":{"rendered":"L2 Outils math\u00e9matiques et analyse de donn\u00e9es 1"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"2955\" class=\"elementor elementor-2955\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e246c32 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e246c32\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e8b272f\" data-id=\"e8b272f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c6e56ba elementor-widget elementor-widget-text-editor\" data-id=\"c6e56ba\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>Mathematical tools and data analysis 1<\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-206551cc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"206551cc\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2d80ee7f\" data-id=\"2d80ee7f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-612e700a elementor-widget elementor-widget-text-editor\" data-id=\"612e700a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><em>Credits: <\/em>3 ECTS<\/p><p style=\"text-align: center;\"><em>Semestre :<\/em> Automne (S3)<\/p><p style=\"text-align: center;\"><em>Contact: <a href=\"mailto:vincent.langlois@univ-lyon1.fr\">Vincent LANGLOIS<\/a><br \/><\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-42095be elementor-widget elementor-widget-image\" data-id=\"42095be\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/lyongeologie.fr\/wp-content\/uploads\/2022\/02\/vincent_langlois.png\" class=\"attachment-large size-large wp-image-8927\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-70bafb4e elementor-align-center elementor-widget elementor-widget-button\" data-id=\"70bafb4e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/lyon-geologie.univ-lyon1.fr\/l2-geosciences\/#l2_tc\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Back to the previous page<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-4deb2453\" data-id=\"4deb2453\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-48d23bf7 elementor-widget elementor-widget-text-editor\" data-id=\"48d23bf7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Dans cette U.E. vous d\u00e9couvrirez tous les outils de base n\u00e9cessaires \u00e0 la manipulation, au traitement, \u00e0 l&rsquo;analyse et \u00e0 la repr\u00e9sentation de donn\u00e9es scientifiques. Chaque s\u00e9ance de cours th\u00e9orique sera suivie d&rsquo;une s\u00e9ance d&rsquo;application avec l&rsquo;outil num\u00e9rique (programmation de scripts en langage python, et utilisation de ses librairies les plus courantes). Les notions suivantes seront abord\u00e9es:<\/p><ul><li><strong>Outils analytiques<\/strong><ul><li>Fonctions usuelles (polynomiales, trigonom\u00e9triques, exponentielles&#8230;). Trac\u00e9 d&rsquo;une courbe.<\/li><li>D\u00e9riv\u00e9es et d\u00e9rivation num\u00e9rique. D\u00e9veloppement limit\u00e9s et approximations.<\/li><li>Int\u00e9grales et int\u00e9gration num\u00e9rique.<\/li><li>Fonctions de plusieurs variables, d\u00e9riv\u00e9es partielles, et leur repr\u00e9sentation graphique.<\/li><\/ul><\/li><li><strong>Outils statistiques<\/strong><ul><li>Moyenne, variance, \u00e9cart-type, covariance.<\/li><li>Distributions courantes, repr\u00e9sentations en histogrammes.<\/li><li>R\u00e9gression lin\u00e9aire.<\/li><li>Tests d&rsquo;hypoth\u00e8ses: comparaison de moyennes et variances, test de conformit\u00e9 \u00e0 une loi, tableaux de contingence.<\/li><\/ul><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-a266fe8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a266fe8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-0be6f22\" data-id=\"0be6f22\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-55a24dd elementor-widget elementor-widget-image\" data-id=\"55a24dd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"587\" height=\"255\" src=\"https:\/\/lyongeologie.fr\/wp-content\/uploads\/2022\/02\/Figure_1.png\" class=\"attachment-large size-large wp-image-8165\" alt=\"\" srcset=\"https:\/\/lyongeologie.fr\/wp-content\/uploads\/2022\/02\/Figure_1.png 587w, https:\/\/lyongeologie.fr\/wp-content\/uploads\/2022\/02\/Figure_1-300x130.png 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"><i><small>Altitudes sur Terre: repr\u00e9sentation sous forme de carte<\/small><\/i><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-2bc98b2\" data-id=\"2bc98b2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0ec3f3b elementor-widget elementor-widget-image\" data-id=\"0ec3f3b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"590\" height=\"430\" src=\"https:\/\/lyongeologie.fr\/wp-content\/uploads\/2022\/02\/Figure_5.png\" class=\"attachment-large size-large wp-image-8169\" alt=\"\" srcset=\"https:\/\/lyongeologie.fr\/wp-content\/uploads\/2022\/02\/Figure_5.png 590w, https:\/\/lyongeologie.fr\/wp-content\/uploads\/2022\/02\/Figure_5-300x219.png 300w\" sizes=\"(max-width: 590px) 100vw, 590px\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\"><i><small>Altitudes sur Terre: repr\u00e9sentation sous forme d'histogramme<\/i><\/small><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-62f24d9 elementor-widget elementor-widget-text-editor\" data-id=\"62f24d9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tLes exercices d&rsquo;application seront syst\u00e9matiquement orient\u00e9s vers les sciences de la Terre: calcul int\u00e9gral de la masse terrestre, histogramme des altitudes, comparaison de populations fossiles, fluctuations du champ magn\u00e9tique, etc.\n\n<br><br>Les comp\u00e9tences acquises sur l&rsquo;outil num\u00e9rique au semestre d&rsquo;automne seront \u00e0 nouveau mobilis\u00e9es dans le cadre de l&rsquo;UE \u00ab <a href=\"https:\/\/lyon-geologie.univ-lyon1.fr\/l2-geosciences\/l2-math2\/\">Outils math\u00e9matiques et analyse de donn\u00e9es 2<\/a> \u00bb , \u00e0 travers notamment un projet men\u00e9 en autonomie.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Outils math\u00e9matiques et analyse de donn\u00e9es 1 Cr\u00e9dits : 3 ECTS Semestre : Automne (S3) Responsable : Vincent LANGLOIS Retour \u00e0 la liste des UEs Dans cette U.E. vous d\u00e9couvrirez tous les outils de base n\u00e9cessaires \u00e0 la manipulation, au traitement, \u00e0 l&rsquo;analyse et \u00e0 la repr\u00e9sentation de donn\u00e9es scientifiques. Chaque s\u00e9ance de cours th\u00e9orique [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":479,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-2955","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/2955","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/comments?post=2955"}],"version-history":[{"count":92,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/2955\/revisions"}],"predecessor-version":[{"id":13235,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/2955\/revisions\/13235"}],"up":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/479"}],"wp:attachment":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/media?parent=2955"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}