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Course information

This course will be given in English if some non-Swedish speaking student is signing up for it. See under examination for further information.


  • Stephen Abbott: Understanding Analysis, 2nd. ed., Springer, New York, 2015. The first ed. from 2001 can also be used.


  • Hand-in exercises, see here for further information.


  • 13 lectures and 5 exercise sessions during which the hand-in solutions are demonstrated.
    N.B. The course will be given on campus (as long as this isn't strictly forbidden).


  • The real number system
  • Sequences, limits and convergence
  • Topology of the real numbers, and in metric spaces
  • Continuity
  • Differentiation
  • Banach's fixed point theorem
  • Numerical series and series of functions
  • The Riemann integral

This is Chapters~1-7 in the course book.

Lecturer and examiner:

  • Anders Björn

Hand-in exercises and instructions

See under examination.

Page responsible: anders.bjorn@liu.se
Last updated: 2023-08-22