{"id":3323,"date":"2016-09-19T18:05:30","date_gmt":"2016-09-19T16:05:30","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=3323"},"modified":"2026-07-18T12:05:04","modified_gmt":"2026-07-18T11:05:04","slug":"programme-de-maths-en-mpsi","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/programme-de-maths-en-mpsi\/","title":{"rendered":"Tout sur le programme de maths en MPSI"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"3323\" class=\"elementor elementor-3323\">\n\t\t\t\t\n\t\t<script type=\"text\/javascript\">\n\t\t\tjQuery(document).ready(function() {\n\n\t\t\t\tjQuery(\".elementor-element-7551e031\").prepend('<div class=\"aepro-section-bs\"><div class=\"aepro-section-bs-inner\"><\/div><\/div>');\n\t\t\t\tvar bgimage = '';\n\t\t\t\tif ('' == 'yes') {\n\n\t\t\t\t\t\/\/if(bgimage == ''){\n\t\t\t\t\t\/\/    var bgoverlay = '';\n\t\t\t\t\t\/\/}else{\n\t\t\t\t\tvar bgoverlay = 'https:\/\/groupe-reussite.fr\/ressources\/wp-content\/plugins\/anywhere-elementor-pro\/includes\/assets\/lib\/vegas\/overlays\/00.png';\n\t\t\t\t\t\/\/ }\n\t\t\t\t} else {\n\t\t\t\t\tif ('') {\n\t\t\t\t\t\tvar bgoverlay = 'https:\/\/groupe-reussite.fr\/ressources\/wp-content\/plugins\/anywhere-elementor-pro\/includes\/assets\/lib\/vegas\/overlays\/.png';\n\t\t\t\t\t} else {\n\t\t\t\t\t\tvar bgoverlay = 'https:\/\/groupe-reussite.fr\/ressources\/wp-content\/plugins\/anywhere-elementor-pro\/includes\/assets\/lib\/vegas\/overlays\/00.png';\n\t\t\t\t\t}\n\t\t\t\t}\n\n\n\t\t\t\tjQuery(\".elementor-element-7551e031\").children('.aepro-section-bs').children('.aepro-section-bs-inner').vegas({\n\t\t\t\t\tslides: [{\"src\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2017\\\/09\\\/3-1.jpg\"}],\n\t\t\t\t\ttransition: 'fade',\n\t\t\t\t\tanimation: 'kenburns',\n\t\t\t\t\toverlay: bgoverlay,\n\t\t\t\t\tcover: true,\n\t\t\t\t\tdelay: 5000,\n\t\t\t\t\ttimer: true\t\t\t\t});\n\t\t\t\tif ('' == 'yes') {\n\t\t\t\t\tjQuery(\".elementor-element-7551e031\").children('.aepro-section-bs').children('.aepro-section-bs-inner').children('.vegas-overlay').css('background-image', '');\n\t\t\t\t}\n\t\t\t});\n\t\t<\/script>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-7551e031 elementor-section-stretched elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"7551e031\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;,&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d291b86 ae-bg-gallery-type-default\" data-id=\"d291b86\" 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-198de619 elementor-widget elementor-widget-text-editor\" data-id=\"198de619\" 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<h1>Programme de maths en MPSI<\/h1>\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-61b84d8 elementor-widget elementor-widget-heading\" data-id=\"61b84d8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Programme pr\u00e9pa MPSI : maths MPSI<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f8d2c0e elementor-align-center elementor-widget elementor-widget-button\" data-id=\"f8d2c0e\" 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-md elementor-animation-grow\" href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-maths-sup-mpsi\/\">\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\">Revenir au programme de MPSI<\/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\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-4e032e7f elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"4e032e7f\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-68ed0ff7 ae-bg-gallery-type-default\" data-id=\"68ed0ff7\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-066e070 elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"066e070\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-1a8a385 hide_col ae-bg-gallery-type-default\" data-id=\"1a8a385\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-3ef4024 strick_col ae-bg-gallery-type-default\" data-id=\"3ef4024\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\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-a528c30 elementor-widget elementor-widget-heading\" data-id=\"a528c30\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Programme du Maths Sup<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fab26cc elementor-widget elementor-widget-heading\" data-id=\"fab26cc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Programme de MPSI<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4e4c8a2 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4e4c8a2\" 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:\/\/groupe-reussite.fr\/ressources\/programme-de-maths-en-mpsi\/\">\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\">Programme de maths de MPSI<\/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<div class=\"elementor-element elementor-element-ce3a64f elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"ce3a64f\" 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:\/\/groupe-reussite.fr\/ressources\/programme-physique-chimie-en-mpsi\/\">\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\">Programme de physique-chimie de MPSI<\/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<div class=\"elementor-element elementor-element-4bd8879 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4bd8879\" 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:\/\/groupe-reussite.fr\/ressources\/programme-de-si-en-mpsi\/\">\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\">Programme de SI de MPSI<\/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<div class=\"elementor-element elementor-element-8a84201 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"8a84201\" 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:\/\/groupe-reussite.fr\/ressources\/programme-anglais-en-maths-sup-mpsi\/\">\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\">Programme d'anglais de MPSI<\/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<div class=\"elementor-element elementor-element-1f690e5 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1f690e5\" 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-size-sm\" role=\"button\">\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\">Programme d'informatique de MPSI<\/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<div class=\"elementor-element elementor-element-07f260b elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"07f260b\" 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:\/\/groupe-reussite.fr\/nous-contacter\/\">\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\">CONTACTEZ-NOUS<\/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\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<article class=\"has_ae_slider elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-512bfae ae-bg-gallery-type-default\" data-id=\"512bfae\" 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<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-69ffaf2d elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"69ffaf2d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-28041aa4 ae-bg-gallery-type-default\" data-id=\"28041aa4\" 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-6f3cabeb elementor-widget elementor-widget-text-editor\" data-id=\"6f3cabeb\" 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 class=\"p1\">Le <b>programme de maths en MPSI <\/b>est complexe et tr\u00e8s dense. Les \u00e9l\u00e8ves assistent \u00e0 12 heures de maths par semaine, soit pr\u00e8s de 40 % du volume de cours hebdomadaire, ce qui en fait la mati\u00e8re au plus fort horaire de la fili\u00e8re.<\/p><p class=\"p1\">Les <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\"><span class=\"s1\">cours de maths<\/span><\/a> en MPSI visent \u00e0 d\u00e9velopper l\u2019esprit d\u2019analyse, la capacit\u00e9 \u00e0 formuler et v\u00e9rifier des hypoth\u00e8ses, \u00e0 mod\u00e9liser un probl\u00e8me en langage math\u00e9matique, \u00e0 \u00e9tablir des raisonnements complexes argument\u00e9s et \u00e0 les pr\u00e9senter de fa\u00e7on structur\u00e9e et plus rigoureuse. Des comp\u00e9tences intellectuelles exigeantes qui seront des atouts ind\u00e9niables pour rentrer dans les <span class=\"s1\">meilleures \u00e9coles d&rsquo;ing\u00e9nieurs fran\u00e7aises<\/span>.<\/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-09f391e elementor-widget elementor-widget-text-editor\" data-id=\"09f391e\" 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>Contenu des cours de maths en pr\u00e9pa MPSI<\/h2>\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-2eee86e elementor-widget elementor-widget-text-editor\" data-id=\"2eee86e\" 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 class=\"font-claude-response-body break-words whitespace-normal\">Rien ne tombe du ciel : le programme reprend le fil de la terminale puis le pousse beaucoup plus loin. Trois domaines se partagent l&rsquo;ann\u00e9e, l&rsquo;analyse et l&rsquo;alg\u00e8bre pour l&rsquo;essentiel du volume, les probabilit\u00e9s arrivant au second semestre. La g\u00e9om\u00e9trie, elle, n&rsquo;a pas de chapitre \u00e0 son nom mais on la croise un peu partout, des nombres complexes jusqu&rsquo;aux espaces euclidiens.<\/p><p class=\"font-claude-response-body break-words whitespace-normal\">C\u00f4t\u00e9 analyse, tout tourne autour des fonctions et des suites. S&rsquo;y greffent l&rsquo;analyse asymptotique, l&rsquo;int\u00e9gration sur un segment, les s\u00e9ries num\u00e9riques puis une premi\u00e8re approche des fonctions de deux variables. Les \u00e9quations diff\u00e9rentielles restent lin\u00e9aires, du premier et du second ordre : c&rsquo;est le lien direct avec la physique.<\/p><p class=\"font-claude-response-body break-words whitespace-normal\">En alg\u00e8bre, l&rsquo;arithm\u00e9tique et les polyn\u00f4mes vus au lyc\u00e9e sont repris en profondeur avant d&rsquo;attaquer des objets plus abstraits comme les groupes, les anneaux et les corps. L&rsquo;alg\u00e8bre lin\u00e9aire et le calcul matriciel arrivent par la porte des syst\u00e8mes lin\u00e9aires. Les espaces pr\u00e9hilbertiens, enfin, g\u00e9n\u00e9ralisent le produit scalaire et prolongent la g\u00e9om\u00e9trie euclidienne.<\/p><p class=\"font-claude-response-body break-words whitespace-normal\">Les probabilit\u00e9s, elles, se limitent \u00e0 un univers fini. On y \u00e9tudie les variables al\u00e9atoires en s&rsquo;appuyant sur le d\u00e9nombrement, dans le prolongement de la terminale.<\/p><p>Au premier semestre, les chapitres portent sur :\u00a0<\/p><ul><li class=\"p1\"><strong>Fondations :\u00a0<\/strong>Raisonnement et vocabulaire ensembliste<\/li><li class=\"p1\"><strong>Alg\u00e8bre<\/strong> :<ul><li class=\"li1\">Compl\u00e9ments de calcul alg\u00e9brique et de trigonom\u00e9trie<\/li><li class=\"li1\">Nombres complexes<\/li><li class=\"li1\">Arithm\u00e9tique dans l&rsquo;ensemble des entiers relatifs<\/li><li class=\"li1\">Structures alg\u00e9briques usuelles (groupes, anneaux, corps)<\/li><li class=\"li1\">Calcul matriciel et syst\u00e8mes lin\u00e9aires<\/li><li class=\"li1\">Polyn\u00f4mes et fractions rationnelles<\/li><\/ul><\/li><li class=\"p1\"><strong>Analyse<\/strong> :<ul><li>Techniques de calcul diff\u00e9rentiel et int\u00e9gral (primitives, \u00e9quations diff\u00e9rentielles lin\u00e9aires)<\/li><li>Nombres r\u00e9els et suites num\u00e9riques<\/li><li>Fonctions d&rsquo;une variable r\u00e9elle : limites, continuit\u00e9, d\u00e9rivabilit\u00e9, convexit\u00e9<\/li><\/ul><\/li><li class=\"p1\"><strong>Probabilit\u00e9s<\/strong> :<ul><li>G\u00e9n\u00e9ralit\u00e9s sur les probabilit\u00e9s<\/li><li>Variables al\u00e9atoires sur un univers fini<\/li><\/ul><\/li><\/ul><p class=\"p1\">Au deuxi\u00e8me semestre :<\/p><ul><li><strong>Alg\u00e8bre<\/strong> :<ul><li class=\"li1\">Espaces vectoriels et applications lin\u00e9aires<\/li><li class=\"li1\">Matrices<\/li><li class=\"li1\">Groupe sym\u00e9trique et d\u00e9terminants<\/li><li class=\"li1\">Espaces pr\u00e9hilbertiens r\u00e9els (produit scalaire, espaces euclidiens)<\/li><\/ul><\/li><li><strong>Analyse<\/strong> :<ul><li>Analyse asymptotique (d\u00e9veloppements limit\u00e9s)<\/li><li>Int\u00e9gration sur un segment<\/li><li>Proc\u00e9d\u00e9s sommatoires discrets (s\u00e9ries num\u00e9riques, familles sommables)<\/li><li>Fonctions de deux variables<\/li><\/ul><\/li><li><strong>Probabilit\u00e9s<\/strong> :<ul><li>D\u00e9nombrement<\/li><li>Probabilit\u00e9s sur un univers fini, variables al\u00e9atoires<\/li><\/ul><\/li><\/ul><p>Faites appel \u00e0 notre <a href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/maths-sup\/france\/toutes-periodes\/\">stage intensif maths sup<\/a> ou \u00e0 nos <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/paris\/\">profs particuliers en maths<\/a> pour renforcer vos connaissances et r\u00e9ussir en maths en MPSI.<\/p><p>\t\t<div data-elementor-type=\"section\" data-elementor-id=\"84983\" class=\"elementor elementor-84983\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-51d9c4d elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"51d9c4d\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-610eeeb9 ae-bg-gallery-type-default\" data-id=\"610eeeb9\" 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-5bf69eb8 elementor-widget elementor-widget-heading\" data-id=\"5bf69eb8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS DE MATHS<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49568da4 elementor-widget elementor-widget-heading\" data-id=\"49568da4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Les meilleurs professeurs particuliers<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1eb9e0cb elementor-widget elementor-widget-heading\" data-id=\"1eb9e0cb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Pour progresser et r\u00e9ussir<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15c3e28d elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"15c3e28d\" 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-md\" href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" id=\"CTA_PRD_CP\">\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\">Cours particuliers maths<\/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<div class=\"elementor-element elementor-element-1a5c10e7 elementor-widget elementor-widget-text-editor\" data-id=\"1a5c10e7\" 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: left\"><b>Avis Google France <\/b><span style=\"color: #e5a430\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\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=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6913d4fe ae-bg-gallery-type-default\" data-id=\"6913d4fe\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\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\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<\/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-defa840 elementor-widget elementor-widget-text-editor\" data-id=\"defa840\" 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>        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Quel est le volume horaire de maths en MPSI ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tCompte 12 heures de maths par semaine, entre cours en classe enti\u00e8re et TD en demi-groupe. C&rsquo;est de loin la mati\u00e8re la plus pr\u00e9sente dans l&#8217;emploi du temps, devant la physique-chimie. Et ce n&rsquo;est pas tout : il faut y ajouter une colle chaque semaine et un vrai travail personnel \u00e0 c\u00f4t\u00e9.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Quelle est la diff\u00e9rence entre le programme de maths de MPSI et celui de PCSI ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tLe socle est presque identique dans les deux fili\u00e8res. La MPSI pousse simplement plus loin les maths et l&rsquo;abstraction, l\u00e0 o\u00f9 la PCSI met davantage l&rsquo;accent sur la chimie. Pour trancher, le plus fiable reste de regarder les mati\u00e8res dans lesquelles tu es le plus \u00e0 l&rsquo;aise en terminale.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Les probabilit\u00e9s sont-elles au programme de maths en MPSI ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tOui, \u00e0 partir du second semestre. Elles forment l&rsquo;un des trois champs du programme, au c\u00f4t\u00e9 de l&rsquo;alg\u00e8bre et de l&rsquo;analyse. On les \u00e9tudie dans le cadre d&rsquo;un univers fini : d\u00e9nombrement, variables al\u00e9atoires, lois, en repartant de la terminale pour aller nettement plus loin.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t\n<script type=\"application\/ld+json\">\n    {\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Quel est le volume horaire de maths en MPSI ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Compte 12 heures de maths par semaine, entre cours en classe enti\u00e8re et TD en demi-groupe. C'est de loin la mati\u00e8re la plus pr\u00e9sente dans l'emploi du temps, devant la physique-chimie. Et ce n'est pas tout : il faut y ajouter une colle chaque semaine et un vrai travail personnel \u00e0 c\u00f4t\u00e9.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Quelle est la diff\u00e9rence entre le programme de maths de MPSI et celui de PCSI ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Le socle est presque identique dans les deux fili\u00e8res. La MPSI pousse simplement plus loin les maths et l'abstraction, l\u00e0 o\u00f9 la PCSI met davantage l'accent sur la chimie. Pour trancher, le plus fiable reste de regarder les mati\u00e8res dans lesquelles tu es le plus \u00e0 l'aise en terminale.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Les probabilit\u00e9s sont-elles au programme de maths en MPSI ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Oui, \u00e0 partir du second semestre. Elles forment l'un des trois champs du programme, au c\u00f4t\u00e9 de l'alg\u00e8bre et de l'analyse. On les \u00e9tudie dans le cadre d'un univers fini : d\u00e9nombrement, variables al\u00e9atoires, lois, en repartant de la terminale pour aller nettement plus loin.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t    ]\n}\n<\/script>\n<\/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-00a4a25 elementor-widget elementor-widget-text-editor\" data-id=\"00a4a25\" 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>Analyse du programme de maths en CPGE MPSI<\/h2>\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-e910bab elementor-widget elementor-widget-text-editor\" data-id=\"e910bab\" 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 class=\"font-claude-response-body break-words whitespace-normal\">Premi\u00e8re surprise \u00e0 la rentr\u00e9e : le vocabulaire change de dimension. Notations, quantificateurs, raisonnement par r\u00e9currence, par l&rsquo;absurde ou par analyse-synth\u00e8se deviennent le quotidien. Ensembles et sous-ensembles, applications, relations d&rsquo;\u00e9quivalence et d&rsquo;ordre : autant d&rsquo;outils \u00e0 ma\u00eetriser vite parce que tout le reste s&rsquo;appuie dessus.<\/p><h3 class=\"font-claude-response-body break-words whitespace-normal\"><strong>Premier semestre en maths MPSI<\/strong><\/h3><p class=\"font-claude-response-body break-words whitespace-normal\">Dix chapitres au premier semestre. Une constante : ce qu&rsquo;on voit dans l&rsquo;un ressert presque toujours ailleurs, y compris en physique-chimie. Les nombres complexes et la trigonom\u00e9trie franchissent un cap par rapport au lyc\u00e9e, entre \u00e9criture alg\u00e9brique, exponentielle complexe, cercle trigonom\u00e9trique et racines n-i\u00e8mes. Les suites num\u00e9riques s&rsquo;abordent sous deux angles, le comportement global (monotonie, convergence) et le c\u00f4t\u00e9 quantitatif (encadrements, vitesse de convergence).<\/p><p class=\"font-claude-response-body break-words whitespace-normal\">L&rsquo;arithm\u00e9tique refait surface en version relev\u00e9e : divisibilit\u00e9, division euclidienne, PGCD, algorithme d&rsquo;Euclide, PPCM, nombres premiers entre eux. C&rsquo;est aussi le moment o\u00f9 le cours devient franchement plus th\u00e9orique, avec les premi\u00e8res structures alg\u00e9briques et l&rsquo;\u00e9tude des polyn\u00f4mes.<\/p><h3 class=\"font-claude-response-body break-words whitespace-normal\"><strong>Second semestre en maths MPSI<\/strong><\/h3><p class=\"font-claude-response-body break-words whitespace-normal\">Le second semestre change de terrain. Place \u00e0 l&rsquo;alg\u00e8bre lin\u00e9aire et aux espaces pr\u00e9hilbertiens, avec au passage la justification de plusieurs r\u00e9sultats admis plus t\u00f4t, notamment autour des espaces vectoriels et des applications lin\u00e9aires (endomorphismes, isomorphismes).<\/p><p class=\"font-claude-response-body break-words whitespace-normal\">Vient ensuite le calcul matriciel, ses r\u00e8gles et son lien \u00e9troit avec les applications lin\u00e9aires, puis le groupe sym\u00e9trique et les d\u00e9terminants. L&rsquo;int\u00e9gration sur un segment est cette fois construite pour de bon, sans raccourci.<\/p><p class=\"font-claude-response-body break-words whitespace-normal\">Les probabilit\u00e9s sur un univers fini, adoss\u00e9es au d\u00e9nombrement, dialoguent avec presque tout le reste du programme. Les espaces pr\u00e9hilbertiens ouvrent la voie \u00e0 des probl\u00e8mes plus abstraits en g\u00e9n\u00e9ralisant le produit scalaire. Et l&rsquo;ann\u00e9e se referme sur les s\u00e9ries et familles sommables puis une premi\u00e8re incursion dans les fonctions de deux variables, de quoi pr\u00e9parer le terrain pour la sp\u00e9.<\/p><p>\t\t<div data-elementor-type=\"section\" data-elementor-id=\"205647\" class=\"elementor elementor-205647\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-2607fcf3 elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"2607fcf3\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-a4d7e6 ae-bg-gallery-type-default\" data-id=\"a4d7e6\" 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-4fbb67ed elementor-widget elementor-widget-heading\" data-id=\"4fbb67ed\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">STAGE MPSI PCSI MP2I PTSI<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2d8753ca elementor-widget elementor-widget-heading\" data-id=\"2d8753ca\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Stage maths, physique et fran\u00e7ais<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-75ae90e3 elementor-widget elementor-widget-text-editor\" data-id=\"75ae90e3\" 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><strong><span class=\"highlighted-yellow\">Meilleurs<\/span><\/strong><span style=\"color: #183153;\"> profs de CPGE : agr\u00e9g\u00e9s et jurys<br \/><\/span><span style=\"color: #ffffff;\"><strong><span class=\"highlighted-blue\">Supports<\/span><\/strong><\/span><span style=\"color: #183153;\"> p\u00e9dagogiques \u00e9prouv\u00e9s<\/span><br \/><span style=\"color: #ffffff;\"><strong><span class=\"highlighted-purple\">\u00a099% <\/span><\/strong><\/span><span style=\"color: #183153;\">\u00a0de recommandation au stage maths sup<\/span><\/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-50032232 elementor-widget elementor-widget-heading\" data-id=\"50032232\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Stage intensif maths sup<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1d6040fa elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"1d6040fa\" 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-md\" href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/maths-sup\/france\/toutes-periodes\/\" target=\"_blank\" id=\"CTA_PRD_STAGE\">\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\">Stage intensif maths sup<\/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<div class=\"elementor-element elementor-element-52e381ea elementor-widget elementor-widget-text-editor\" data-id=\"52e381ea\" 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: left\"><b>Avis Google France <\/b><span style=\"color: #e5a430\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\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=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6b1ffbf9 ae-bg-gallery-type-default\" data-id=\"6b1ffbf9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\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\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<\/p><p>N&rsquo;h\u00e9sitez pas \u00e0 retrouver \u00e9galement :<\/p><ul><li>Le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-physique-chimie-en-mpsi\/\">programme de physique chimie en MPSI<\/a><\/li><li>Le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-de-si-en-mpsi\/\">programme de SI en MPSI<\/a><\/li><li>Le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-anglais-en-maths-sup-mpsi\/\">programme d&rsquo;anglais en MPSI<\/a><\/li><\/ul>\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-6446758d elementor-align-center elementor-widget elementor-widget-button\" data-id=\"6446758d\" 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:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/Programmes\/maths-mpsi.pdf\" target=\"_blank\">\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\">MPSI programme maths<\/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\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/article>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Programme de maths en MPSI Programme pr\u00e9pa MPSI : maths MPSI Revenir au programme de MPSI Programme du Maths Sup Programme de MPSI Programme de maths de MPSI Programme de physique-chimie de MPSI Programme de SI de MPSI Programme d&rsquo;anglais de MPSI Programme d&rsquo;informatique de MPSI CONTACTEZ-NOUS Le programme de maths en MPSI est complexe [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"full-screen","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"on","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","footnotes":""},"class_list":["post-3323","page","type-page","status-publish","entry"],"yoast_head":"<!-- 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