Topic outline

  • Lecture notes

    Lecture notes will be written and made available.


    Lecture schedule


    The lectures will be held as Zoom-meetings on Mondays 10-12 and Wednesdays 14-16.

    Note! The Zoom-meetings of the lectures will be recorded and posted on Panopto (with a few days delay potentially).


    Lecture I, Mon 11.01.2021 at 10-12: "Foundations"

    Lecture II, Wed 13.01.2021 at 14-16: "Real numbers"

    Lecture III, Mon 18.01.2021 at 10-12: "Functions and sequences on the real line"

    Lecture IV, Wed 20.01.2021 at 14-16: "Normed spaces and inner product spaces"

    Lecture V, Mon 25.01.2021 at 10-12: "Metric spaces"

    Lecture VI, Wed 27.01.2021 at 14-16: "Continuity of functions"

    Lecture VII, Mon 01.02.2021 at 10-12: "Topology and homeomorphisms"

    Lecture VIII, Wed 03.02.2021 at 14-16: "Sequences in metric spaces"

    Lecture IX, Mon 08.02.2021 at 10-12: "Function sequences"

    Lecture X, Wed 10.02.2021 at 14-16: "Completeness"

    Lecture XI, Mon 15.02.2021 at 10-12: "Compactness"

    Lecture XII, Wed 17.02.2021 at 14-16: "Connectedness"