Corso Vittorio Emanuele II, 39 - Roma 0669207671

Génie de Gestion (Academic Year 2006-2007)

Mathematiques I


CFU: 5
Langue du contenu:Italien
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.
Professeur
Alessandro Verra
Enseignant vidéo
Prof. Abdelilah Dahlane - Université Cadi Ayyad (Marrakech - Morocco)
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