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Department of Physics


10ΥΚΟ11 Analysis I and Applications

Course webpage:

Course outline

Course content

  • Numbers (natural, rational, irrational). Mathematical induction. Basic inequalities. Bound of a set. Supremum and infimum of of a set.
  • The field of real numbers. Bounded sets of numbers. Upper and lower bound. Completeness.
  • Sequences. Series. Radius of convergence of power series.
  • Continuous functions and their properties.
  • Differentiation. The mean value theorem. Extrema of functions and Taylor theorem. Fundamental functions.
  • Riemann integral (upper and lower bound of an integral). Integration techniques. Approximation of definite integrals.