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Analyse 5 Exercices corrigés - Fonctions de Plusieurs Variables SMA S3

octobre 14, 2021

Exercices Corrigés Analyse 5 SMA S3 PDF

Exercices Corrigés Fonctions de plusieurs variables pdf

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Analyse 5 Exercices corrigés - Fonctions de Plusieurs Variables SMA S3

Ch. I. Espaces vectoriels normés et topologie
Normes, Normes équivalentes. Suites. Ouverts, Fermés, Compacts, Connexité par arcs.
Ch. II. Limites et continuité
Définitions et exemples. Continuité des applications linéaires, et normes subordonnées.
Ch. III. Différentiabilité
Définitions et exemples. Dérivées partielles, matrice Jacobienne, inégalité des accroissements finies. Fonctions de classe et théorème de Schwarz.
Ch. IV. Formule de Taylor et extremums
Formule de Taylor à l'ordre 2. Matrice Hessienne, Extremums, Extrémums liés. Théorème des fonctions implicites (n=2, 3) et Théorème d’inversion locale
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Exercices corrigés Analyse 5 S3 SMA PDF

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