{"id":3018,"date":"2016-09-06T09:09:04","date_gmt":"2016-09-06T07:09:04","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=3018"},"modified":"2024-04-11T11:51:23","modified_gmt":"2024-04-11T10:51:23","slug":"programme-maths-prepa-hec-ecs-1","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/programme-maths-prepa-hec-ecs-1\/","title":{"rendered":"Tout sur le programme de maths approfondies en ECG1"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"3018\" class=\"elementor elementor-3018\">\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-6026c4d1\").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 == 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'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-6026c4d1\").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-6026c4d1 elementor-section-stretched elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"6026c4d1\" 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-1cd1e4a6 ae-bg-gallery-type-default\" data-id=\"1cd1e4a6\" 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-a3d770f elementor-widget elementor-widget-text-editor\" data-id=\"a3d770f\" 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>Tout sur le Programme de Maths Approfondies en ECG 1<\/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-389215c6 elementor-widget elementor-widget-text-editor\" data-id=\"389215c6\" 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 style=\"font-family: Lato, sans-serif;font-style: normal\"><span style=\"font-size: 20px;color: #ffffff\">\u00a0Programme maths approfondies en ECG 1 : alg\u00e8bre, analyse<\/span><\/h2>\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-42b4ae9 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"42b4ae9\" 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-prepa-hec-ecs-1\/\" 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 prepa ECG 1<\/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-42b1c315 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=\"42b1c315\" 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-dbb6a68 ae-bg-gallery-type-default\" data-id=\"dbb6a68\" 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-3957e9a elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"3957e9a\" 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-cf74a28 hide_col ae-bg-gallery-type-default\" data-id=\"cf74a28\" 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-897e64f strick_col ae-bg-gallery-type-default\" data-id=\"897e64f\" 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-542a4c2 elementor-widget elementor-widget-heading\" data-id=\"542a4c2\" 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 pr\u00e9pa HEC<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-55336b1 elementor-widget elementor-widget-heading\" data-id=\"55336b1\" 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 d'ECG 1<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cb39a59 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"cb39a59\" 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-maths-prepa-hec-ecs-1\/\" 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 approfondies d'ECG<\/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-d8f5368 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"d8f5368\" 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-maths-prepa-hec-ece-1\/\" 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 appliqu\u00e9es d'ECG 1<\/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-a5cbfb6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"a5cbfb6\" 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-histoire-geographie-ecs-1\/\" 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 g\u00e9opolitique d'ECG 1<\/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-d2c34f5 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"d2c34f5\" 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-economie-prepa-hec-ece-1\/\" 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'ESH d'ECG 1<\/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-f5c3db0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"f5c3db0\" 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-prepa-hec\/\" 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 d'ECG 1<\/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-c866edd elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"c866edd\" 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-culture-generale-prepa-hec-1\/\" 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 culture g\u00e9n\u00e9rale d'ECG 1<\/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-d8da45c elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"d8da45c\" 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-518be97 ae-bg-gallery-type-default\" data-id=\"518be97\" 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-72d2597d elementor-section-content-middle elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"72d2597d\" 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-66c9a775 ae-bg-gallery-type-default\" data-id=\"66c9a775\" 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-31e89960 elementor-widget elementor-widget-text-editor\" data-id=\"31e89960\" 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>Le <b>programme de maths approfondies d&rsquo;ECG 1<\/b> est dans la continuit\u00e9 du programme de maths de terminale. Il s\u2019organise autour de 6 th\u00e8mes principaux : alg\u00e8bre lin\u00e9aire, analyse, probabilit\u00e9s, raisonnement et vocabulaire ensemblistes, polyn\u00f4mes, informatique. Ces th\u00e8mes seront ensuite approfondis dans le programme de maths d\u2019ECG 2.<\/p><p>En pr\u00e9pa ECG, les maths sont la mati\u00e8re la plus importante aux concours. En effet elle repr\u00e9sente environ 35% des coefficients de la BCE. Par cons\u00e9quent, il est essentiel d\u2019y obtenir de bons r\u00e9sultats aux concours pour int\u00e9grer les \u00e9coles en haut du classement des \u00e9coles de commerce de France.\u00a0<\/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-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><h2>Le contenu des cours de maths approfondies en prepa ECG 1<\/h2><ul><li><strong>Raisonnement et vocabulaire ensembliste :<\/strong><ul><li>\u00c9l\u00e9ments de logique\u00a0<\/li><li>Raisonnement par r\u00e9currence et calcul de sommes et de produits<\/li><li>Ensembles, applications :<ul><li>Ensembles, parties d\u2019un ensemble\u00a0<\/li><li>Applications<\/li><\/ul><\/li><\/ul><\/li><li><strong>Polyn\u00f4mes<\/strong><\/li><li><strong>Alg\u00e8bre lin\u00e9aire<\/strong> :<ul><li>Calcul matriciel :<ul><li>Matrices rectangulaires<\/li><li>Cas des matrices carr\u00e9es<\/li><\/ul><\/li><li>Syst\u00e8mes lin\u00e9aires<\/li><li>Introduction aux espaces vectoriels et sous-espaces vectoriels\u00a0<\/li><li>Espaces vectoriels de dimension finie\u00a0<\/li><li>Compl\u00e9ments sur les espaces vectoriels<\/li><li>Applications lin\u00e9aires :<ul><li>Cas g\u00e9n\u00e9ral<\/li><li>Cas de la dimension finie<\/li><li>Matrices et applications lin\u00e9aires<\/li><li>Cas des endomorphismes et des matrices carr\u00e9es<\/li><\/ul><\/li><\/ul><\/li><li><strong>Suites de nombres r\u00e9els :<\/strong><ul><li>Vocabulaire sur l\u2019ensemble R des nombres r\u00e9els<\/li><li>Exemples de suites r\u00e9elles<\/li><li>Convergence des suites r\u00e9elles &#8211; Th\u00e9or\u00e8mes fondamentaux<\/li><\/ul><\/li><li><strong>Fonctions r\u00e9elles d\u2019une variable r\u00e9elle<\/strong> :<ul><li>Limite et continuit\u00e9 d\u2019une fonction d\u2019une variable en un point<\/li><li>\u00c9tude globale des fonctions d\u2019une variable sur un intervalle<\/li><li>D\u00e9rivation<\/li><li>Int\u00e9gration sur un segment<\/li><\/ul><\/li><li><strong>Probabilit\u00e9s sur un ensemble fini<\/strong> :<ul><li>G\u00e9n\u00e9ralit\u00e9s :<ul><li>Observation d\u2019une exp\u00e9rience al\u00e9atoire &#8211; \u00c9v\u00e9nements\u00a0<\/li><li>Probabilit\u00e9\u00a0<\/li><li>Probabilit\u00e9 conditionnelle<\/li><li>Ind\u00e9pendance en probabilit\u00e9<\/li><\/ul><\/li><li>Variables al\u00e9atoires r\u00e9elles finies\u00a0<\/li><li>Lois usuelles<\/li><\/ul><\/li><li><strong>Compl\u00e9ments d\u2019analyse<\/strong> :<ul><li>\u00c9tude asymptotique des suites<\/li><li>Comparaison des fonctions d\u2019une variable au voisinage d\u2019un point<\/li><li>S\u00e9ries num\u00e9riques<\/li><li>Int\u00e9grales sur un intervalle quelconque<\/li><li>D\u00e9riv\u00e9es successives<\/li><li>Formules de Taylor<\/li><li>D\u00e9veloppements limit\u00e9s<\/li><li>Extremum<\/li><li>Fonctions convexes\u00a0<\/li><li>Graphes de fonctions\u00a0<\/li><\/ul><\/li><li><strong>Probabilit\u00e9s sur un ensemble quelconque<\/strong> :<ul><li>Espace probabilis\u00e9<\/li><li>Variables al\u00e9atoires r\u00e9elles discr\u00e8tes<\/li><li>Lois de variables al\u00e9atoires discr\u00e8tes usuelles<\/li><li>Couples de variables al\u00e9atoires r\u00e9elles discr\u00e8tes<\/li><li>Convergences et approximations<\/li><\/ul><\/li><li><strong>Informatique<\/strong> :<ul><li>Programmation d\u2019algorithmes et de fonctions\u00a0<\/li><li>Commandes exigibles:<ul><li>Disponibles de base dans Python<\/li><li>Dans la librairie numpy<\/li><li>Dans la librairie numpy.linalg<\/li><li>Dans la librairie numpy.random<\/li><li>Dans la librairie scipy.special<\/li><li>Dans la librairie matplotlib.pyplot\u00a0<\/li><li>Utilisation de la fonction Axes3D<\/li><\/ul><\/li><li>Liste de savoir-faire exigibles en premi\u00e8re ann\u00e9e\u00a0<\/li><\/ul><\/li><\/ul><p>La partie alg\u00e8bre lin\u00e9aire, compos\u00e9e des calculs matriciels, syst\u00e8mes et applications lin\u00e9aires et des espaces et sous-espaces vectoriels en ECG, permet aux \u00e9l\u00e8ves de d\u00e9velopper leur capacit\u00e9 d\u2019abstraction et leur d\u00e9marche logique.<\/p><p>L\u2019analyse, bas\u00e9e sur l\u2019\u00e9tude des suites de nombre r\u00e9els et des fonctions r\u00e9elles d&rsquo;une variable r\u00e9elle, introduit une v\u00e9ritable rigueur de travail et de r\u00e9flexion.<\/p><p>Enfin, les probabilit\u00e9s, dont le <b>programme de maths approfondies en ECG 1<\/b> est en continuit\u00e9 avec le programme de cours de terminale, introduisent de nouveaux outils permettant de mod\u00e9liser des situations concr\u00e8tes.<\/p><h2>Le programme de maths approfondies ECG 1 est divis\u00e9 en deux semestres\u00a0\u00a0<\/h2><p>Le premier semestre du <i>programme de math\u00e9matiques approfondies en ECG 1\u00e8re ann\u00e9e<\/i> va appuyer les acquis du programme de maths de cours de terminale tout comme le programme de MPSI.\u00a0<\/p><p>Les \u00e9l\u00e8ves n\u2019ayant pas suivi l&rsquo;option math\u00e9matiques compl\u00e9mentaires vont d\u00e9couvrir les matrices en ECG. Les ensembles de matrices, les produits de matrices, les matrices carr\u00e9es, inverses, triangulaire ainsi que leurs aspects vectoriels sont d\u00e9velopp\u00e9s dans le programme de maths approfondies d\u2019ECG 1. En alg\u00e8bre, les \u00e9l\u00e8ves vont \u00e9galement r\u00e9soudre les syst\u00e8mes lin\u00e9aires (gr\u00e2ce au th\u00e9or\u00e8me du pivot de gauss), et approfondir les espaces vectoriels et les sous espaces vectoriels.\u00a0<\/p><p>En analyse, le <b>programme de maths approfondies de prepa ECG 1<\/b> commence par un rappel des bases et des notions essentielles. Ensuite, un nouveau vocabulaire est int\u00e9gr\u00e9, notamment avec les valeurs absolues et la partie enti\u00e8re. Les suites r\u00e9elles sont \u00e9tudi\u00e9es, au travers de la convergence et de nombreux th\u00e9or\u00e8mes. La d\u00e9rivation est analys\u00e9e plus profond\u00e9ment (caract\u00e8re lin\u00e9aire, th\u00e9or\u00e8me de Rolle) ainsi que l\u2019int\u00e9gration en ECG\u00a0(par partie, sommes de Riemann \u00e0 pas constant). Enfin une nouvelle fonction entre en jeu : la fonction Arctan. Ces chapitres qui sont \u00e9galement abord\u00e9s dans le programme de PCSI\u00a0sont exigeants et demandent beaucoup de travail et de r\u00e9gularit\u00e9 aux \u00e9l\u00e8ves.<\/p><p>Les probabilit\u00e9s en ECG\u00a0sont \u00e9tudi\u00e9es au travers des notions telles que les espaces probabilis\u00e9s, les probabilit\u00e9s conditionnelles, et les ind\u00e9pendances d&rsquo;\u00e9v\u00e9nements. Les variables al\u00e9atoires finies en ECG\u00a0et les lois usuelles sont revues et approfondies.\u00a0<\/p><p>Au second semestre, les cours de maths introduisent \u00e9galement les applications lin\u00e9aires (leurs d\u00e9finitions, les isomorphismes et endomorphismes\u2026). Les matrices sont aussi vues sous une nouvelle dimension, car elles vont servir \u00e0 interpr\u00e9ter l\u2019image d\u2019un vecteur.<\/p><p>L&rsquo;analyse\u00a0 et les probabilit\u00e9s du <b>programme de maths approfondies d\u2019ECG 1<\/b> se complexifient et de nouveaux \u00e9l\u00e9ments y sont introduits comme les tribus, le th\u00e9or\u00e8me de la limite monotone, et les probl\u00e8mes de convergence (avec l\u2019\u00e9tude des in\u00e9galit\u00e9s de Markov et Bienaym\u00e9-Tchebychev).\u00a0<\/p><p>Les variables al\u00e9atoires se densifient, les \u00e9l\u00e8ves font face aux variables al\u00e9atoires r\u00e9elles (fonctions, lois, propri\u00e9t\u00e9s), discr\u00e8tes, usuelles (loi g\u00e9om\u00e9trique, loi de poisson) et les variables al\u00e9atoires \u00e0 densit\u00e9 usuelles (lois exponentielles, uniforme et normale).<\/p><p>Enfin, en informatique, les \u00e9l\u00e8ves de cours d\u2019ECG 1 vont cr\u00e9er des variables, construire des vecteurs et des matrices num\u00e9riques, utiliser des fonctions usuelles pr\u00e9d\u00e9finies et programmer des algorithmes et des fonctions gr\u00e2ce aux logiciels de programmation Scilab et Python.\u00a0<\/p><p>\t\t<div data-elementor-type=\"section\" data-elementor-id=\"205626\" class=\"elementor elementor-205626\">\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-22b0f662 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=\"22b0f662\" 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-1cf3a246 ae-bg-gallery-type-default\" data-id=\"1cf3a246\" 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-3b48101f elementor-widget elementor-widget-heading\" data-id=\"3b48101f\" 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 PREPA ECG<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-24e72e74 elementor-widget elementor-widget-heading\" data-id=\"24e72e74\" 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\">R\u00e9ussir en maths en ECG<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-540884f9 elementor-widget elementor-widget-heading\" data-id=\"540884f9\" 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 profs d&rsquo;ECG<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-48b6bce5 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"48b6bce5\" 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\/ecg1\/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 maths prepa ECG 1<\/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-3afafd4c elementor-widget elementor-widget-text-editor\" data-id=\"3afafd4c\" 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-16a8fede ae-bg-gallery-type-default\" data-id=\"16a8fede\" 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><p>Ainsi le programme en prepa HEC de maths est dense la premi\u00e8re ann\u00e9e. Il y a un \u00e9cart important en terme de difficult\u00e9 entre les maths en terminale et en prepa ECG 1. C\u2019est pour cette raison que les \u00e9l\u00e8ves doivent \u00eatre pr\u00eats d\u00e8s la rentr\u00e9e pour accrocher imm\u00e9diatement le bon wagon.\u00a0<\/p><p>Nombreux sont ceux qui ont recours \u00e0 un <a href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/prepa-hec\/france\/pre-rentree\/\">stage de pr\u00e9-rentr\u00e9e en prepa HEC<\/a> afin d\u2019anticiper les difficult\u00e9s \u00e0 venir et se mettre directement dans le rythme intense de la pr\u00e9pa HEC. Beaucoup d&rsquo;\u00e9l\u00e8ves demandent l&rsquo;aide d&rsquo;un professeur particulier pour rattraper du retard, revoir le cours, mieux comprendre les notions et objets math\u00e9matiques, s&rsquo;exercer sur des exercices classiques. \u00c0 travers ces cours particuliers de maths, les \u00e9l\u00e8ves gagnent en temps et en compr\u00e9hension en vue de r\u00e9ussir les concours.<\/p><p>Pour plus d&rsquo;informations sur les programmes des mati\u00e8res en ECG 1, veuillez consulter :<\/p><ul><li>Le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-maths-prepa-hec-ece-1\/\">programme de maths appliqu\u00e9es en ECG 1<\/a><\/li><li>Le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-economie-prepa-hec-ece-1\/\">programme d&rsquo;ESH en ECG 1<\/a><\/li><li>Le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-histoire-geographie-ecs-1\/\">programme d&rsquo;HGGMC en ECG 1<\/a><\/li><li>Le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-culture-generale-prepa-hec-1\/\">programme de CG en ECG 1<\/a><\/li><li>Le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/programme-anglais-prepa-hec\/\">programme d&rsquo;anglais en ECG 1<\/a><\/li><\/ul>\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-56cfbb98 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"56cfbb98\" 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-approfondies-ecg-1.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 Pr\u00e9pa ECG 1<\/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>Tout sur le Programme de Maths Approfondies en ECG 1 \u00a0Programme maths approfondies en ECG 1 : alg\u00e8bre, analyse Revenir au programme de prepa ECG 1 Programme de pr\u00e9pa HEC Programme d&rsquo;ECG 1 Programme de maths approfondies d&rsquo;ECG Programme de maths appliqu\u00e9es d&rsquo;ECG 1 Programme de g\u00e9opolitique d&rsquo;ECG 1 Programme d&rsquo;ESH d&rsquo;ECG 1 Programme d&rsquo;anglais [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.2.1 - 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