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MOOC Massive Open Online Courses (Academic Year 2012/2013)

Mathematics 1


Credits: 9
Content language:French
Course description
Introduction to differential and integral calculus.
Prerequisites
Analytic geometry on the plane. Elementary functions. Algebraic, trigonometric, exponential and logarithmic equations and inequalities.
Objectives
Introduction to differential and integral calculus.
Program
  • 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.
Professor
Professor not available
Video professors
Prof. Assem Deif - University of Cairo (Cairo - Egypt)
List of lessons
    •  Lesson n. 1: Logique  Go to this lesson
Abdelilah Dahlane
    •  Lesson n. 2: Ensembles  Go to this lesson
Abdelilah Dahlane
    •  Lesson n. 3: Applications  Go to this lesson
Abdelilah Dahlane
Abdelilah Dahlane
    •  Lesson n. 5: Nombres Réels  Go to this lesson
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
Abdelilah Dahlane
    •  Lesson n. 13: Continuité  Go to this lesson
Abdelilah Dahlane
Abdelilah Dahlane
    •  Lesson 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