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analyse 1 exercices sur les développements limités

exosup

8 nov., 2018

analyse 1 exercices sur les développements limités
smpc s1

analyse 1 exercices sur le développement limité smpc s1

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Nom du fichier : analyse 1 exercices développement limité By ExoSup.com.pdf
Taille du fichier : 417 KB
Nombre de pages : 3
Date de publication : 08/11/2018
id=1162

programme de ce module:
Module 5 : Analyse 1 (Cours : 21H, TD :21H)
1- Suites réelles
Convergence, limites, suites arithmétiques, suites géométriques, suites monotones, suites
adjacentes, opérations sur les suites.
2- Fonctions numériques d’une variable réelle
Calcul des limites, continuité, théorème des valeurs intermédiaires.
3- Fonctions dérivables
Dérivée première, dérivées successives, sens de variation, Théorème de Rolle et théorème des
accroissements finis
4- Fonctions convexes
Définition, fonction convexes dérivables, inégalité de convexité
5- Fonctions monotones
Définition, fonction réciproque, fonction réciproques des fonctions circulaires et des
fonctions hyperboliques
6- Fonctions équivalentes et développements limités
Formule de Taylor, polynômes d’interpolation et calcul approché
7- Courbes paramétré planes
Définition, tangentes, points réguliers, points stationnaires, branches infinies,
représentation en coordonnées polaires, exemples de courbes polaires.

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