{"id":3689,"date":"2016-09-21T12:20:02","date_gmt":"2016-09-21T10:20:02","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=3689"},"modified":"2024-10-16T11:50:39","modified_gmt":"2024-10-16T10:50:39","slug":"programme-maths-spe-maths-en-psi","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/programme-maths-spe-maths-en-psi\/","title":{"rendered":"Maths sp\u00e9: Programme de maths en PSI"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"3689\" class=\"elementor elementor-3689\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\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-3554d022\").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-3554d022\").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-3554d022\").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-3554d022 elementor-section-stretched elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"3554d022\" data-element_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\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-714918c2 ae-bg-gallery-type-default\" data-id=\"714918c2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bb0c2cd elementor-widget elementor-widget-text-editor\" data-id=\"bb0c2cd\" data-element_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<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h1>Programme de Maths en CPGE PSI<\/h1>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6039d34 elementor-widget elementor-widget-heading\" data-id=\"6039d34\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Programme officiel de maths en PSI: alg\u00e8bre, analyse et probabilit\u00e9s<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-296273d elementor-align-center elementor-widget elementor-widget-button\" data-id=\"296273d\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-de-la-maths-spe-psi\/\" class=\"elementor-button-link elementor-button elementor-size-md elementor-animation-grow\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Revenir au programme de PSI<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\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-5f59cedb 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=\"5f59cedb\" data-element_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\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-2adb791e ae-bg-gallery-type-default\" data-id=\"2adb791e\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-6edfa9f elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"6edfa9f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-7db888b hide_col ae-bg-gallery-type-default\" data-id=\"7db888b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\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-50 elementor-inner-column elementor-element elementor-element-42f816a strick_col ae-bg-gallery-type-default\" data-id=\"42f816a\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-742b629 elementor-widget elementor-widget-heading\" data-id=\"742b629\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Programme de maths sp\u00e9<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2d524e3 elementor-widget elementor-widget-heading\" data-id=\"2d524e3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Programme de pr\u00e9pa PSI<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-529ace1 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"529ace1\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-informatique-psi\/\" class=\"elementor-button-link 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<span class=\"elementor-button-text\">Programme d'informatique en PSI<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-caf23d6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"caf23d6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-physique-chimie-en-psi\/\" class=\"elementor-button-link 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<span class=\"elementor-button-text\">Programme de physique-chimie en PSI<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c495eab elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"c495eab\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-sciences-de-lingenieur-en-psi\/\" class=\"elementor-button-link 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<span class=\"elementor-button-text\">Programme de SI en PSI<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-597fcea elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"597fcea\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-anglais-en-maths-spe-psi\/\" class=\"elementor-button-link 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<span class=\"elementor-button-text\">Programme d'anglais en PSI<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-47b665b elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"47b665b\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-francais-en-maths-spe-psi\/\" class=\"elementor-button-link 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<span class=\"elementor-button-text\">Programme de fran\u00e7ais en PSI<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1b1d220 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1b1d220\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/nous-contacter\/\" class=\"elementor-button-link 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<span class=\"elementor-button-text\">CONTACTEZ-NOUS<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\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-3ca7ab75 ae-bg-gallery-type-default\" data-id=\"3ca7ab75\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-474ffefe elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"474ffefe\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-4cccd820 ae-bg-gallery-type-default\" data-id=\"4cccd820\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d227f82 elementor-widget elementor-widget-text-editor\" data-id=\"d227f82\" data-element_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<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2>Programme PSI maths<\/h2><div id=\"gtx-trans\" style=\"position: absolute; left: 89px; top: 31px;\"><div class=\"gtx-trans-icon\">\u00a0<\/div><\/div>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eac1972 elementor-widget elementor-widget-text-editor\" data-id=\"eac1972\" data-element_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<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: justify;\">Les \u00e9l\u00e8ves de MPSI, PCSI ou PTSI ayant choisi d&rsquo;int\u00e9grer la maths sp\u00e9 PSI vont approfondir leurs notions de math\u00e9matiques \u00e0 fr\u00e9quence de 10 h par semaine. Les maths en PSI sont des outils destin\u00e9s \u00e0 \u00eatre utilis\u00e9s dans le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-physique-chimie-en-psi\/\">programme de Physique Chimie en PSI<\/a> et dans le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-sciences-de-lingenieur-en-psi\/\">programme de Sciences de l\u2019Ing\u00e9nieur en PSI<\/a>.<\/p><p style=\"text-align: justify;\">Dans la continuit\u00e9 du programme de maths sup, les math\u00e9matiques et les autres mati\u00e8res scientifiques sont en interaction continue. L&rsquo;\u00e9preuve de maths repr\u00e9sente 25% des coefficients du concours Centrale en PSI. De nombreux \u00e9l\u00e8ves font appel \u00e0 un <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\">prof particulier de maths<\/a> pour se sentir plus \u00e0 l&rsquo;aise sur le programme de CPGE PSI en maths. Ces cours d&rsquo;accompagnement contribuent \u00e0 ce que les \u00e9l\u00e8ves puissent viser les meilleures \u00e9coles d&rsquo;ing\u00e9nieurs aux concours de PSI.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-261c833 elementor-widget elementor-widget-text-editor\" data-id=\"261c833\" data-element_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<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2>Organisation des chapitres de maths en PSI<\/h2><div id=\"gtx-trans\" style=\"position: absolute; left: 68px; top: -17px;\"><div class=\"gtx-trans-icon\">\u00a0<\/div><\/div>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ec5f9a0 elementor-widget elementor-widget-text-editor\" data-id=\"ec5f9a0\" data-element_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<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p>Dans le prolongement des cours de maths sup, le programme de maths en PSI s\u2019organise autour de trois grands domaines : l\u2019<strong>alg\u00e8bre<\/strong>, l\u2019<strong>analyse<\/strong> et les <strong>probabilit\u00e9s<\/strong>.<\/p><p>Voici un tableau r\u00e9capitulatif des notions abord\u00e9es dans le <b>programme de maths de PSI<\/b> :<\/p><ul><li><strong>Alg\u00e8bre lin\u00e9aire<\/strong> :<ul><li>Compl\u00e9ments sur les espaces vectoriels, les endomorphismes et les matrices<\/li><li>R\u00e9duction des endomorphismes et des matrices carr\u00e9es<\/li><\/ul><\/li><li><strong>Espaces pr\u00e9hilbertiens r\u00e9els, espaces euclidiens<\/strong> :<ul><li>Espaces pr\u00e9hilbertiens r\u00e9els\u00a0<\/li><li>Endomorphismes d\u2019un espace euclidien\u00a0<\/li><\/ul><\/li><li><strong>Espaces vectoriels norm\u00e9s<\/strong><\/li><\/ul><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-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\t\t<div class=\"elementor-row\">\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\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\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-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS DE MATHS<\/h3>\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-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Les meilleurs professeurs particuliers<\/h4>\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-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Pour progresser et r\u00e9ussir<\/h4>\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-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers maths<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\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-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\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<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\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\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\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><ul><li><strong>Suites et s\u00e9ries de fonctions<\/strong> :<ul><li>Compl\u00e9ments sur les s\u00e9ries num\u00e9riques<\/li><li>Suites et s\u00e9ries de fonctions<\/li><li>S\u00e9ries enti\u00e8res\u00a0<\/li><\/ul><\/li><li><strong> Int\u00e9gration sur un intervalle quelconque\u00a0<\/strong><\/li><li><strong>Variables al\u00e9atoires discr\u00e8tes<\/strong> :<ul><li>A &#8211; Ensembles d\u00e9nombrables, familles sommables\u00a0<\/li><li>Probabilit\u00e9s, variables al\u00e9atoires discr\u00e8tes et lois usuelles<\/li><li>Esp\u00e9rance et variance<\/li><\/ul><\/li><li><strong>Calcul diff\u00e9rentiel<\/strong> :<ul><li>\u00c9quations diff\u00e9rentielles lin\u00e9aires scalaires<\/li><li>D\u00e9rivabilit\u00e9 des fonctions vectorielles<\/li><li>Fonctions de plusieurs variables<\/li><\/ul><\/li><\/ul><p>Les cours de maths en alg\u00e8bre approfondissent les connaissances acquises en alg\u00e8bre lin\u00e9aire, \u00e0 travers la th\u00e9orie de r\u00e9duction des endomorphismes et des matrices carr\u00e9s notamment. Les espaces pr\u00e9hilbertiens sont d\u00e9velopp\u00e9s et les \u00e9l\u00e8ves sont initi\u00e9s \u00e0 l\u2019<em>alg\u00e8bre euclidienne.<\/em><\/p><p>L\u2019analyse dans le\u00a0programme de PSI\u00a0de maths introduit la notion de <strong>topologie<\/strong> des espaces vectoriels norm\u00e9s, des suites et des s\u00e9ries de fonction. De plus, les s\u00e9ries num\u00e9riques sont d\u00e9velopp\u00e9es sous un nouvel aspect : les s\u00e9ries de fonctions et les s\u00e9ries enti\u00e8res, qui permettent la r\u00e9solution des \u00e9quations diff\u00e9rentielles lin\u00e9aires. Objet indispensable en physique. Un accent est port\u00e9 sur le<strong> calcul diff\u00e9rentiel<\/strong>. Enfin, les \u00e9l\u00e8ves vont aborder les fonctions vectorielles et les arcs param\u00e9tr\u00e9s.<\/p><p>Enfin, dans la continuit\u00e9 des notions vues depuis le d\u00e9but par les \u00e9l\u00e8ves, les probabilit\u00e9s approfondissent l\u2019\u00e9tude des variables al\u00e9atoires discr\u00e8tes et introduisent au formalisme de Kolmogorov, notion indispensable pour la poursuite d\u2019\u00e9tude sup\u00e9rieure.<\/p><p>\t\t<div data-elementor-type=\"section\" data-elementor-id=\"41590\" class=\"elementor elementor-41590\">\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-541c517b 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=\"541c517b\" data-element_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\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-31f06842 ae-bg-gallery-type-default\" data-id=\"31f06842\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\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-50 elementor-inner-column elementor-element elementor-element-27ca1173 ae-bg-gallery-type-default\" data-id=\"27ca1173\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6e66d122 elementor-widget elementor-widget-heading\" data-id=\"6e66d122\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">STAGE INTENSIF EN MATHS SP\u00c9<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1d9fab6f elementor-widget elementor-widget-heading\" data-id=\"1d9fab6f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Profite de tes vacances pour gagner des points aux concours.<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-50bfa117 elementor-widget elementor-widget-text-editor\" data-id=\"50bfa117\" data-element_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<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><strong><span style=\"color: #e5a431\">100%<\/span><\/strong> \u00a0<span style=\"color: #183153\">obtiennent une \u00e9cole d&rsquo;ing\u00e9nieur<\/span><br \/><span style=\"color: #97caef\"><strong>58%<\/strong><\/span> <span style=\"color: #183153\">admissibles Mines-Centrales<\/span><br \/><strong><span style=\"color: #a64d79\">99%<\/span><\/strong> <span style=\"color: #183153\">de recommandation \u00e0 leurs amis<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7bae9f19 elementor-align-center elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"7bae9f19\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/maths-spe\/france\/toutes-periodes\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_STAGE\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Stage prepa maths sp\u00e9<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-54b80aac elementor-widget elementor-widget-text-editor\" data-id=\"54b80aac\" data-element_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<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: center\"><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<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\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>Le programme de maths en PSI \u00e9tant abstrait et charg\u00e9, beaucoup d&rsquo;\u00e9l\u00e8ves n&rsquo;h\u00e9sitent pas \u00e0 demander de l&rsquo;aide \u00e0 travers des cours particuliers en maths soit en ligne ou \u00e0 domicile ainsi que des <a href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/maths-spe\/france\/toutes-periodes\/\">stages en maths sp\u00e9<\/a> pour progresser et viser les meilleurs concours.<\/p><p>Pensez aussi \u00e0 consulter le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-informatique-psi\/\">programme d&rsquo;informatique en PSI<\/a> et le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-anglais-en-maths-spe-psi\/\">programme d&rsquo;anglais en PSI<\/a>.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-52dc0079 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"52dc0079\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/Programmes\/maths-psi.pdf\" target=\"_blank\" class=\"elementor-button-link 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<span class=\"elementor-button-text\">Programme de maths en PSI<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/article>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Programme de Maths en CPGE PSI Programme officiel de maths en PSI: alg\u00e8bre, analyse et probabilit\u00e9s Revenir au programme de PSI Programme de maths sp\u00e9 Programme de pr\u00e9pa PSI Programme d&rsquo;informatique en PSI Programme de physique-chimie en PSI Programme de SI en PSI Programme d&rsquo;anglais en PSI Programme de fran\u00e7ais en PSI CONTACTEZ-NOUS Programme PSI [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.2.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Programme maths PSI : alg\u00e8bre, analyse et probabilit\u00e9s<\/title>\n<meta name=\"description\" content=\"D\u00e9couvrez le programme de maths en PSI : endomorphismes, espaces pr\u00e9hilbertiens, s\u00e9ries, espaces probabili\u00e9s, variables al\u00e9atoires discr\u00e8tes\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-maths-spe-maths-en-psi\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Programme maths PSI : 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