Topic outline

  • Lectures

    Lecture notes

    Lecture notes will be written and made available. (Note that the file is on GitHub, but instead of the GitHub pdf-viewer you should download the file to see the full file.)


    Lecture schedule



    Lecture I, Mon 09.01.2022 at 10-12: "Foundations"


    Lecture II, Wed 11.01.2022 at 14-16: "Real numbers"


    Lecture III, Mon 16.01.2022 at 10-12: "Functions and sequences on the real line"


    Lecture IV, Wed 18.01.2022 at 14-16: "Normed spaces and inner product spaces"
    Note! The lecture takes place in TU2 - 2005 (Maarintie 8).


    Lecture V, Mon 23.01.2022 at 10-12: "Metric spaces"


    Lecture VI, Wed 25.01.2022 at 14-16: "Continuity of functions"


    Lecture VII, Mon 30.01.2022 at 10-12: "Metric space topology"


    Lecture VIII, Wed 01.02.2022 at 14-16: "Sequences in metric spaces"


    Lecture IX, Mon 06.02.2022 at 10-12: "Function sequences"


    Lecture X, Wed 08.02.2022 at 14-16: "Completeness"


    Lecture XI, Mon 13.02.2022 at 10-12: "Compactness"


    Lecture XII, Wed 15.02.2022 at 14-16: "Connectedness"

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