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MOOC Massive Open Online Courses (Ακαδημαϊκό έτος 2012/2013)

Mathematics 1


Πιστώσεις: 9
Γλώσσα περιεχομένου:Αραβικά
Περιγραφή μαθήματος
Introduction to differential and integral calculus.
Προϋποθέσεις
Analytic geometry on the plane. Elementary functions. Algebraic, trigonometric, exponential and logarithmic equations and inequalities.
Στόχοι
Introduction to differential and integral calculus.
Πρόγραμμα
  • 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.
Περιοχή Καθηγητή
Ο καθηγητής δεν είναι διαθέσιμος
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