[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-963644","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Introduction \u00e0 la g\u00e9om\u00e9trie diff\u00e9rentielle\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          3\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemester:\n          Semestre 1\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                    \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EFran\u00e7ais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003ECalcul diff\u00e9rentiel dans R^n\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Col\u003E\n\u003Cli\u003ERappels sur les tenseurs du 2nd ordre\u003C\/li\u003E\n\u003Cli\u003EG\u00e9om\u00e9trie diff\u00e9rentielle des courbes : notions de courbes dans les espaces euclidien, vectoriel et tensoriel ; d\u00e9rivabilit\u00e9, int\u00e9grabilit\u00e9, longueur d\u2019arc ; tri\u00e8dre de Fr\u00e9net-Serret, courbure, torsion, \u00e9quations de Fr\u00e9net-Serret ; sph\u00e8re et cercle osculateurs, rayon de courbure ; d\u00e9velopp\u00e9e et d\u00e9veloppantes d\u2019une courbe, \u00e9quations intrins\u00e8ques d\u2019une courbe, th\u00e9or\u00e8me de Bonnet.\u003C\/li\u003E\n\u003Cli\u003EOp\u00e9rateurs diff\u00e9rentiels sur les champs : gradient, rotationnel, divergence, laplacien; propri\u00e9t\u00e9s et th\u00e9or\u00e8mes sur les op\u00e9rateurs; op\u00e9rateurs en coordonn\u00e9es cylindriques et sph\u00e9riques.\u003C\/li\u003E\n\u003Cli\u003ECoordonn\u00e9es curvilignes: tenseur m\u00e9trique, composantes co-et contra-variantes,symboles de Chrystoffel.\u003C\/li\u003E\n\u003Cli\u003ESurfaces dans l\u2019espace euclidien; lignes coordonn\u00e9es, espace tangent; surface de r\u00e9volution, surfaces r\u00e9gl\u00e9es ; premi\u00e8re et seconde forme fondamentales d\u2019une surface ; courbures, lignes de courbure, directions asymptotiques; classification des point d\u2019une surface, surface d\u00e9veloppables, coniques de Dupin ; \u00e9quations de Gauss-Weingarten, le Theorema Egregium ; surfaces minimales ; lignes g\u00e9od\u00e9siques ; conditions de Gauss-Codazzi.\u003C\/li\u003E\n\u003C\/ol\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EOrganisation g\u00e9n\u00e9rale et modalit\u00e9s p\u00e9dagogiques\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003ECM+TD\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EP. Vannucci: Tensor algebra and analysis for engineers - With applications to differential geometry of curves and surfaces. World Scientific, 2023\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Terminale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]