Corso Vittorio Emanuele II, 39 - Roma 0669207671

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

Mathematiques I


Langue du contenu: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/Tuteur responsable enseignement
Professeur non disponible
Enseignant vidéo
Prof. Abdelilah Dahlane - Université Cadi Ayyad (Marrakech - Morocco)
Liste des leçons
    •  Leçon n. 1: Logique  Go to this lesson
Abdelilah Dahlane
    •  Leçon n. 2: Ensembles  Go to this lesson
Abdelilah Dahlane
    •  Leçon n. 3: Applications  Go to this lesson
Abdelilah Dahlane
Abdelilah Dahlane
    •  Leçon n. 5: Nombres Réels  Go to this lesson
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
    •  Leçon n. 13: Continuité  Go to this lesson
Abdelilah Dahlane
Abdelilah Dahlane
    •  Leçon n. 15: Derivation  Go to this lesson
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane