{"id":57,"date":"2026-07-05T10:35:50","date_gmt":"2026-07-05T09:35:50","guid":{"rendered":"https:\/\/thomascometx.fr\/?page_id=57"},"modified":"2026-07-28T14:10:54","modified_gmt":"2026-07-28T13:10:54","slug":"ecg-1-mathematiques-approfondies","status":"publish","type":"page","link":"https:\/\/thomascometx.fr\/index.php\/ecg-1-mathematiques-approfondies\/","title":{"rendered":"ECG 1 Math\u00e9matiques approfondies (2022-2026)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Entre septembre 2022 et juin 2026, j&rsquo;enseignais au Lyc\u00e9e Camille Vernet de Valence dans le cursus Math\u00e9matiques Approfondies en ECG 1. Les documents sur cette page sont la derni\u00e8re version du cours qui a \u00e9t\u00e9 donn\u00e9e. Ils ne seront plus mis \u00e0 jour.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours1.pdf\">1. R\u00e9visions de terminale, calcul<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td1.pdf\">TD 1<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours2.pdf\">2. Raisonnements<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td2.pdf\">TD 2<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours3.pdf\">3. Nombres r\u00e9els, in\u00e9galit\u00e9s<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td3.pdf\">TD 3<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours4.pdf\">4. Sommes et produit<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td4.pdf\">TD 4<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours5.pdf\">5. Fonctions usuelles<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td5.pdf\">TD 5<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours6.pdf\">6. Ensembles<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td6.pdf\">TD 6<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours7.pdf\">7. Suites<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td7.pdf\">TD 7<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours8.pdf\">8. Limites de fonctions<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td8.pdf\">TD 8<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours9.pdf\">9. Fonctions continues<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td9.pdf\">TD 9<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours10.pdf\">10. Calcul matriciel<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td10.pdf\">TD 10<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours11.pdf\">11. Syst\u00e8mes lin\u00e9aires<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td11.pdf\">TD 11<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours12.pdf\">12. Fonctions d\u00e9rivables<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td12.pdf\">TD 12<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours13.pdf\">13. Probabilit\u00e9s finies<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td13.pdf\">TD 13<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours14.pdf\">14. Variables al\u00e9atoires finies<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td14.pdf\">TD 14<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours15.pdf\">15. Int\u00e9grales et primitives<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td15.pdf\">TD 15<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours16.pdf\">16. Polyn\u00f4mes<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td16.pdf\">TD 16<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours17.pdf\">17. Introductions aux espaces vectoriels<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td17.pdf\">TD 17<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours18.pdf\">18. Espaces vectoriels de dimension finie<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td18.pdf\">TD 18<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours19.pdf\">19. Relations de comparaisons<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td19.pdf\">TD 19<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours20.pdf\">20. S\u00e9ries num\u00e9riques<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td20.pdf\">TD 20<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours21.pdf\">21. Compl\u00e9ments sur la d\u00e9rivation<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td21.pdf\">TD 21<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours22.pdf\">22. Compl\u00e9ments sur les espaces vectoriels<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td22.pdf\">TD 22<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours23.pdf\">23. D\u00e9veloppements limit\u00e9s<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td23.pdf\">TD 23<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours24.pdf\">24. Espaces probabilis\u00e9s<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td24.pdf\">TD 24<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours25.pdf\">25. Variables al\u00e9atoires discr\u00e8tes<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td25.pdf\">TD 25<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours26.pdf\">26. Int\u00e9grales g\u00e9n\u00e9ralis\u00e9es<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td26.pdf\">TD 26<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours27.pdf\">27. Couples de variables al\u00e9atoires<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td27.pdf\">TD 27<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours28.pdf\">28. Applications lin\u00e9aires<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td29.pdf\">TD 28<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours29.pdf\">29. Applications lin\u00e9aires : repr\u00e9sentation matricielle<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td29.pdf\">TD 29<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours30.pdf\">30. Optimisation<\/a><\/td><td><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours31.pdf\">31. Fonctions convexes<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td30.pdf\">TD 30\/31<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/cours32.pdf\">32. Convergence des variables al\u00e9atoires<\/a><\/td><td><a href=\"https:\/\/thomascometx.fr\/wp-content\/enseignement\/ecg1\/cours\/td32.pdf\">TD 32<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Entre septembre 2022 et juin 2026, j&rsquo;enseignais au Lyc\u00e9e Camille Vernet de Valence dans le cursus Math\u00e9matiques Approfondies en ECG [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-57","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/thomascometx.fr\/index.php\/wp-json\/wp\/v2\/pages\/57","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thomascometx.fr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/thomascometx.fr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/thomascometx.fr\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/thomascometx.fr\/index.php\/wp-json\/wp\/v2\/comments?post=57"}],"version-history":[{"count":5,"href":"https:\/\/thomascometx.fr\/index.php\/wp-json\/wp\/v2\/pages\/57\/revisions"}],"predecessor-version":[{"id":130,"href":"https:\/\/thomascometx.fr\/index.php\/wp-json\/wp\/v2\/pages\/57\/revisions\/130"}],"wp:attachment":[{"href":"https:\/\/thomascometx.fr\/index.php\/wp-json\/wp\/v2\/media?parent=57"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}