Topic outline

  • General

    Welcome to the home page of a course in measure and integration theory. The course practices will be discussed in the first lecture on Mon 23 Oct 2023. Lectures are held in M234 (M3). We have adopted a flipped classroom model for the course. The participants are expected to study the announced pages of the lecture notes before each lecture. 

    Schedule

    Mon 23 Oct: Pages 1-9 of the lecture notes.

    Grading: There is no final exam. The grading is based on homework assignments and attendance. 

    Solved homework assignments      Grade

    90%                                                    5

    80%                                                    4

    70%                                                    3

    60%                                                    2

    50%                                                    1

    Instructor: Juha Kinnunen

    Assistant: Kim Myyryläinen



    • forum icon
      Announcements Forum
    • folder icon
      Lecture notes Folder

    • Further reading

      V.I. Bogachev, Measure Theory 1 and 2, Springer, 2007.

      A.M. Bruckner, J.B. Bruckner, and B.S. Thomson, Real Analysis, Prentice-Hall, 1997

      D.L. Cohn, Measure Theory (2nd edition), Birkhäuser, 2013.

      L.C. Evans and R.F. Gariepy, Measure Theory and Fine Properties of Functions, CRC Press, 1992

      F. Jones, Lebesgue Integration on Euclidean Space (revised edition), Jones and Bartlett Publishers, 2001

      W. Rudin, Real and Complex Analysis, McGraw-Hill, 1986

      D.A. Salamon, Measure and Integration, European Mathematical Society, 2016

      E. Stein and R. Sakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University Press, 2005

      T. Tao, Introduction to Measure Theory, American Mathematical Society, 2011

      M.E. Taylor, Measure theory and Integration, American Mathematical Society, 2006 

      R.L. Wheeden and A. Zygmund, Measure and Integral: An Introduction to Real Analysis, Marcel Dekker, 1977

      W.P. Ziemer, Modern Real Analysis, PWS Publishing Company 1995

      J. Yeh, Real Analysis, Theory of Measure and Integration (2nd edition), World Scientific, 2006



    • Homework assignments and tutorials

      The homework assignments are discussed in tutorials on Fridays at 10-12 in M233 (M2). The deadline for handing in the solutions is on Mondays at 16:00 starting 6 November 2023. Please return written solutions to the mailbox outside M226 or to the return boxes below as a PDF file.

      In case you have any questions concerning the homework assignments, please contact Kim Myyryläinen in M242. You can come to his office or write him an email at any time.