The objective of this module is to familiarize students with set-theoretic vocabulary, to present different methods

 of convergence of real sequences, and to explore various aspects of the analysis of functions of a real variable.

Recommended prior knowledge:

  • ℝ is a commutative field

  • Mathematical induction, intervals, functions

  • Complex numbers, modulus of a complex number z, exponential form of a complex number

  • Convergent sequences, limits

  • Even and odd functions, continuous functions, differentiable functions

  • Natural logarithm, exponential function, logarithms with any base, power functions

Students should already know how to study real functions, sequences, and complex numbers.