Università telematica internazionale UNINETTUNO

MOOC Massive Open Online Courses (Academic Year 2018/2019)

Mathematiques I

Langue: Français
Description du cours
Introduction to differential and integral calculus.
Connaissances requises
Analytic geometry on the plane. Elementary functions. Algebraic, trigonometric, exponential and logarithmic equations and inequalities.
Objectifs
Introduction to differential and integral calculus.
Programme
  • Elementary logic. Sets, relations, functions. Transformations on graphics. Compositions of functions; inverse functions.
  • Limits and continuity. Calculus of limits. Discontinuities. Asymptotic. Sequences. Landau symbols. Basic results on limits and on global properties of continuous functions.
  • Derivatives and derivation rules. Second derivatives and convexity. Differential calculus results (Fermat, Rolle, Lagrange, Cauchy, De L'Hopital Theorems). Taylor approximations.
  • Primitives and definite integrals. Integration rules. Improper integrals.
Textes
Dolciani, M. et al : Introductory Analysis , Houghton Mifflin , Boston , 1991.
Fouad Rajab: Differential and integral, knowledge house (Dar Al Maarfa), Al Cairo, 1972.
Sadek Bshara: Differential and integral calculus, Agency of Modern Publishing, Alexandrina Egypt 1962.
Professeur
Professeur non disponible
Enseignant vidéo
Prof. Abdelilah Dahlane - Université Cadi Ayyad (Marrakech - Morocco)
Liste des leçons
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Siège de l'Université

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00186 Roma - ITALIA
C.F.: 97394340588
P.IVA: 13937651001

Certified mail

info@pec.uninettunouniversity.net

Secrétariat des Etudiants

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e-mail: info@uninettunouniversity.net

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