{"id":4527,"date":"2022-02-01T23:45:06","date_gmt":"2022-02-01T22:45:06","guid":{"rendered":"https:\/\/lyon-geologie.univ-lyon1.fr\/?page_id=4527"},"modified":"2023-01-27T10:11:10","modified_gmt":"2023-01-27T09:11:10","slug":"l3g_math_tc","status":"publish","type":"page","link":"https:\/\/lyongeologie.fr\/en\/l3-geosciences\/l3g_math_tc\/","title":{"rendered":"L3G Math\u00e9matiques 1"},"content":{"rendered":"
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Mathematics 1
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3 Credits<\/em><\/p>

Contact: Fr\u00e9d\u00e9ric CHAMBAT<\/a>
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tBack to the previous page<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Ce cours vise \u00e0 fournir les bases de concepts math\u00e9matiques largement utilis\u00e9s en sciences de la Terre, permettant de se rep\u00e9rer \u00e0 la surface de notre Globe, d\u2019utiliser des fonctions de plusieurs variables et de comprendre la puissance des d\u00e9veloppements en fonctions sinuso\u00efdales.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Trajet le plus court (courbe noire) entre Paris et Auckland.<\/small><\/i><\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Contents:<\/strong><\/p>

  • Les coordonn\u00e9es cylindriques et sph\u00e9riques <\/b>(1h30)<\/span><\/p><\/li>

  • Trigonom\u00e9trie sph\u00e9rique<\/b> (1h30)<\/span><\/p><\/li>

  • Les fonctions de plusieurs variables I<\/b> (6h) : Champ scalaire, champ vectoriel (1h30), Le produit scalaire, les composantes d\u2019un vecteur, la base orthonorm\u00e9e, le symbole de Kronecker, l\u2019angle solide (1h), D\u00e9riv\u00e9es partielles (1h), Fonctions compos\u00e9es, d\u00e9riv\u00e9e de fonctions compos\u00e9es (1h30), D\u00e9veloppements limit\u00e9s (1h)<\/span><\/p><\/li>

  • Les op\u00e9rateurs de d\u00e9rivation I<\/b> (7h30) : Le gradient, la divergence, le rotationnel, le Laplacien : d\u00e9finitions simples en cart\u00e9siennes (2h), Le flux, le th\u00e9or\u00e8me de Gauss (2h), Propri\u00e9t\u00e9s de lin\u00e9arit\u00e9, Le symbole Nabla (0h30), Utilisation en physique (3h).<\/p><\/li>

  • Fourier I<\/b> (7h30) : S\u00e9ries de Fourier, d\u00e9veloppement (4h), R\u00e9solution d\u2019eq. diff. avec les s\u00e9ries de Fourier (2h), Espaces vectoriels norm\u00e9s (1h30).<\/span><\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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    Math\u00e9matiques 1 Cr\u00e9dits : 3 ECTS Responsable : Fr\u00e9d\u00e9ric CHAMBAT Retour \u00e0 la liste des UEs Ce cours vise \u00e0 fournir les bases de concepts math\u00e9matiques largement utilis\u00e9s en sciences de la Terre, permettant de se rep\u00e9rer \u00e0 la surface de notre Globe, d\u2019utiliser des fonctions de plusieurs variables et de comprendre la puissance des […]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":489,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","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":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","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-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":"","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-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":"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":""},"mobile":{"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":""}},"footnotes":""},"class_list":["post-4527","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/4527","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/comments?post=4527"}],"version-history":[{"count":17,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/4527\/revisions"}],"predecessor-version":[{"id":16511,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/4527\/revisions\/16511"}],"up":[{"embeddable":true,"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/pages\/489"}],"wp:attachment":[{"href":"https:\/\/lyongeologie.fr\/en\/wp-json\/wp\/v2\/media?parent=4527"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}