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.
Analytic geometry on the plane. Elementary functions. Algebraic, trigonometric, exponential and logarithmic equations and inequalities.
Introduction to differential and integral calculus.
  • 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.
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 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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