{"id":458,"date":"2025-09-26T12:58:06","date_gmt":"2025-09-26T11:58:06","guid":{"rendered":"https:\/\/unv-ebolowa.cm\/?p=458"},"modified":"2025-10-07T10:48:35","modified_gmt":"2025-10-07T09:48:35","slug":"algebre-lineaire-et-analyse-reelle","status":"publish","type":"post","link":"https:\/\/unv-ebolowa.cm\/?p=458&lang=en","title":{"rendered":"ALGEBRE LINEAIRE ET ANALYSE REELLE"},"content":{"rendered":"\n<ul class=\"wp-block-list\">\n<li><strong>EC\u00a0: ANALYSE REELLE (Code ANA 121)<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><a><strong>Fili\u00e8re et option : <\/strong><\/a>Sciences Fondamentales de Base et Appliqu\u00e9es (Tronc commun Scientifiques)&nbsp;; Niveau I<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Enseignant :<\/strong> Dr NOTUE KADJIE Arnaud<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Disponibilit\u00e9 :<\/strong>&nbsp;&nbsp; Permanent &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<strong>Contact :<\/strong> Tel : <strong>6 91 76 69 78<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>P\u00e9riode du cours :<\/strong> Semestre 2 (Avril-Mai)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>R\u00e9partition du volume horaire (CM<\/strong> : 30 heures. <strong>TD<\/strong> : 10 heures&nbsp;; <strong>TPE<\/strong> : 5 heures<strong>) Cr\u00e9dit<\/strong> : 3<br><strong>&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Description du cours<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-objectifs-pedagogiques\" style=\"font-size:clamp(14.082px, 0.88rem + ((1vw - 3.2px) * 0.721), 21px);\"><strong>Objectifs p\u00e9dagogiques<\/strong><\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>. <strong>\u00c9tudier la d\u00e9rivabilit\u00e9 des fonctions<\/strong>, interpr\u00e9ter la d\u00e9riv\u00e9e, appliquer les r\u00e8gles de d\u00e9rivation, et r\u00e9soudre des probl\u00e8mes d\u2019optimisation.<\/li>\n\n\n\n<li>. <strong>Appliquer le calcul diff\u00e9rentiel <\/strong>: th\u00e9or\u00e8me de Rolle, th\u00e9or\u00e8me des accroissements finis, d\u00e9veloppement en s\u00e9rie de Taylor.<\/li>\n\n\n\n<li>. <strong>Ma\u00eetriser l\u2019int\u00e9gration des fonctions r\u00e9elles<\/strong>, interpr\u00e9ter l\u2019int\u00e9grale d\u00e9finie, utiliser les m\u00e9thodes de calcul (int\u00e9gration par parties, changement de variable, etc.).<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-contenus-du-cours\" style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.625), 20px);\"><strong>Contenus du cours :<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">. Fonctions r\u00e9elles \u2013 Limites et continuit\u00e9 \u2013 D\u00e9rivabilit\u00e9 &#8211; D\u00e9veloppements limit\u00e9s &#8211; Int\u00e9gration<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-apprentissages-cles\" style=\"font-size:clamp(14.082px, 0.88rem + ((1vw - 3.2px) * 0.721), 21px);\"><strong>Apprentissages cl\u00e9s :<\/strong><\/h2>\n\n\n\n<ol style=\"list-style-type:lower-alpha\" class=\"wp-block-list\">\n<li>. Comprendre et formaliser les concepts d\u2019analyse (limite, d\u00e9riv\u00e9e, int\u00e9grale\u2026)<ol><li>. D\u00e9montrer des r\u00e9sultats math\u00e9matiques en utilisant des raisonnements logiques<\/li><\/ol><ol><li>. \u00c9tudier les variations et le comportement asymptotique de fonctions<\/li><\/ol><ol><li>. Calculer et interpr\u00e9ter les d\u00e9riv\u00e9es et les int\u00e9grales<\/li><\/ol>\n<ol class=\"wp-block-list\">\n<li>. Appliquer les outils de l\u2019analyse \u00e0 des situations concr\u00e8tes (optimisation, mod\u00e9lisation)<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-competences-visees\" style=\"font-size:clamp(14.082px, 0.88rem + ((1vw - 3.2px) * 0.721), 21px);\"><strong>Comp\u00e9tences vis\u00e9es<\/strong> :<\/h2>\n\n\n\n<ol style=\"list-style-type:lower-alpha\" class=\"wp-block-list\">\n<li>Etre capable de ma\u00eetriser les concepts fondamentaux de l\u2019analyse math\u00e9matique (limites, continuit\u00e9, d\u00e9rivabilit\u00e9, int\u00e9gration, suites et s\u00e9ries)<\/li>\n\n\n\n<li>D\u00e9velopper une rigueur logique, et de l\u2019entra\u00eener \u00e0 r\u00e9soudre des probl\u00e8mes math\u00e9matiques vari\u00e9s \u00e0 travers une d\u00e9marche analytique structur\u00e9e.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Programme et calendrier<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Semaine\/date<\/td><td>Contenus\/objectifs<\/td><td>Activit\u00e9s<\/td><td>Travail pr\u00e9alable<\/td><\/tr><tr><td>Semaine 1<\/td><td>S\u00e9ance 1 : Fonctions r\u00e9elles<\/td><td>Domaine de definition; etude de variation<\/td><td>Relire le cours d\u2019analyse 1<\/td><\/tr><tr><td>Semaine 2<\/td><td>S\u00e9ance 2 : Limites et continuit\u00e9- D\u00e9rivabilit\u00e9<\/td><td>Calcul limit\u00e9, etude de la derivabilit\u00e9 et de la continuit\u00e9<\/td><td>Relire le cours d\u2019analyse 1<\/td><\/tr><tr><td>Semaine 3<\/td><td>S\u00e9ance 3 :Developpements limit\u00e9s<\/td><td>Developpement autout d\u2019un point d\u2019une fonction de classe C<\/td><td>Relire le cours d\u2019analyse 1<\/td><\/tr><tr><td>Semaine 4<\/td><td>S\u00e9ance 4 :Int\u00e9gration<\/td><td>Calcul des surfaces et des volumes<\/td><td>Relire le cours d\u2019analyse 1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Mode d\u2019\u00e9valuation<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Dates<\/td><td>Type d\u2019examen\/comp\u00e9tences vis\u00e9es<\/td><td>Pourcentage<\/td><\/tr><tr><td>Semaine 3<\/td><td>Travail Personnel de l\u2019\u00e9tudiant (expos\u00e9)<\/td><td>10%<\/td><\/tr><tr><td>Seamine 4<\/td><td>Contr\u00f4le Continu : QCM, QRO<\/td><td>20%<\/td><\/tr><tr><td>Selon la programmation de l\u2019ISABEE<\/td><td>Examen \u00e9crit : QCM, QRO, \u00e9tude de cas<\/td><td>70%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>R\u00e8gles et fonctionnement du cours R\u00e8gles g\u00e9n\u00e9rales<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>La pr\u00e9sence en cours est obligatoire et contr\u00f4l\u00e9e.<\/li>\n\n\n\n<li>Les \u00e9tudiants sont attendus pour participer activement aux discussions et aux activit\u00e9s en classe.<\/li>\n\n\n\n<li>Les \u00e9tudiants doivent respecter les d\u00e9lais de remise des travaux.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-retard-dans-la-remise-des-travaux\" style=\"font-size:clamp(14.642px, 0.915rem + ((1vw - 3.2px) * 0.766), 22px);\"><strong>Retard dans la remise des travaux<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tout retard dans la remise des travaux sera p\u00e9nalis\u00e9 d&rsquo;une fa\u00e7on suivante :<\/li>\n\n\n\n<li>1 jour de retard : 10% de p\u00e9nalit\u00e9 sur la note finale<\/li>\n\n\n\n<li>2 jours de retard : 20% de p\u00e9nalit\u00e9 sur la note finale<\/li>\n\n\n\n<li>3 jours de retard : 30% de p\u00e9nalit\u00e9 sur la note finale<\/li>\n\n\n\n<li>Les \u00e9tudiants qui ne remettent pas leurs travaux dans les d\u00e9lais prescrits ne pourront pas obtenir une note sup\u00e9rieure \u00e0 60%.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-absenteisme\" style=\"font-size:clamp(14.082px, 0.88rem + ((1vw - 3.2px) * 0.721), 21px);\"><strong>Absent\u00e9isme<\/strong><strong><\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tout absent\u00e9isme non justifi\u00e9 sera p\u00e9nalis\u00e9 d&rsquo;une fa\u00e7on suivante :<\/li>\n\n\n\n<li>1 absence non justifi\u00e9e : 10% de p\u00e9nalit\u00e9 sur la note finale<\/li>\n\n\n\n<li>2 absences non justifi\u00e9es : 20% de p\u00e9nalit\u00e9 sur la note finale<\/li>\n\n\n\n<li>3 absences non justifi\u00e9es : 30% de p\u00e9nalit\u00e9 sur la note finale<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-travail-personnel\" style=\"font-size:clamp(14.642px, 0.915rem + ((1vw - 3.2px) * 0.766), 22px);\"><strong>Travail personnel<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Les \u00e9tudiants recevront des travaux personnels \u00e0 r\u00e9aliser entre les cours.<\/li>\n\n\n\n<li>Ces travaux seront not\u00e9s et compteront pour 10% de la note finale.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-plagiat\" style=\"font-size:clamp(14.642px, 0.915rem + ((1vw - 3.2px) * 0.766), 22px);\"><strong>Plagiat<\/strong><strong><\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Tout plagiat sera s\u00e9v\u00e8rement p\u00e9nalis\u00e9.<\/li>\n\n\n\n<li>Les \u00e9tudiants qui commettent un plagiat seront sanctionn\u00e9s d&rsquo;une fa\u00e7on suivante :<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-participation\" style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.625), 20px);\">Participation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Les \u00e9tudiants sont attendus pour participer activement aux discussions et aux activit\u00e9s en classe.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-bibliographie-et-ressources-complementaires\" style=\"font-size:clamp(14.642px, 0.915rem + ((1vw - 3.2px) * 0.766), 22px);\"><strong>Bibliographie et ressources compl\u00e9mentaires<\/strong><\/h2>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-g-choquet-cours-d-analyse-3\u1d49-ed-paris-france-masson-1991\" style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.625), 20px);\">G. Choquet, <em>Cours d\u2019analyse<\/em>, 3\u1d49 \u00e9d. Paris, France: Masson, 1991.<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">J. Dieudonn\u00e9, <em>Foundations of Modern Analysis<\/em>, New York, NY, USA: Academic Press, 1969.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">W. Rudin, <em>Principles of Mathematical Analysis<\/em>, 3rd ed. New York, NY, USA: McGraw- Hill, 1976.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H. L. Royden and P. M. Fitzpatrick, <em>Real Analysis<\/em>, 4th ed. Boston, MA, USA: Pearson, 2010.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G. H. Hardy, <em>A Course of Pure Mathematics<\/em>, 10th ed. Cambridge, UK: Cambridge University Press, 2008.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">R. Courant and F. John, <em>Introduction to Calculus and Analysis<\/em>, Vol. 1, New York, NY, USA: Springer, 1999.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">J.-M. Monier, <em>Analyse math\u00e9matique 1 : Fonctions d&rsquo;une variable r\u00e9elle<\/em>, Paris, France: Dunod, 2014.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">J. Stewart, <em>Calculus: Early Transcendentals<\/em>, 8th ed. Boston, MA, USA: Cengage Learning, 2016.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M. Spivak, <em>Calculus<\/em>, 4th ed. Cambridge, UK: Cambridge University Press, 2008.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T. M. Apostol, <em>Mathematical Analysis<\/em>, 2nd ed. Reading, MA, USA: Addison-Wesley, 1974.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fili\u00e8re et option : Sciences Fondamentales de Base et Appliqu\u00e9es (Tronc commun Scientifiques)&nbsp;; Niveau I Enseignant : Dr NOTUE KADJIE Arnaud Disponibilit\u00e9 :&nbsp;&nbsp; Permanent &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Contact : Tel : 6 91 76 69 78 P\u00e9riode du cours : Semestre 2 (Avril-Mai) R\u00e9partition du volume horaire (CM : 30 heures. TD : 10 heures&nbsp;; TPE : 5 [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-458","post","type-post","status-publish","format-standard","hentry","category-cours"],"_links":{"self":[{"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=\/wp\/v2\/posts\/458","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=458"}],"version-history":[{"count":1,"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=\/wp\/v2\/posts\/458\/revisions"}],"predecessor-version":[{"id":462,"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=\/wp\/v2\/posts\/458\/revisions\/462"}],"wp:attachment":[{"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/unv-ebolowa.cm\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}