Università telematica internazionale UNINETTUNO

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

Mathematics I

Language: Polski
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.
Book
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.
Professor
Professor not available
List of lessons
    •  Lesson n. 1: Introduction 
    •  Lesson n. 2: Real Numbers 
    •  Lesson n. 3: Real functions 
    •  Lesson n. 8: Limits 
    •  Lesson n. 9: Limit theorem 
    •  Lesson n. 10: Continuity 

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