Sergei Yakovenko's blog: on Math and Teaching

Tuesday, January 26, 2016

Lecture 13, Jan 26, 2016

Questions and answers

Questions concerned integrability of discontinuous functions, notions of improper integrals (how and when they can be defined), topological properties (equivalent definitions of compactness, connectedness etc.)

Here are some textbooks that I recommend for preparing when working on the exam. Keep them on your virtual bookshelf: they cover much more that I explained in the course, but who knows what questions related to analysis you might have.

  1. V. Zorich, vol. 1: Chapters 1-6, pp.1-371.
  2. V. Zorich, vol. 2: Parts of Chapter 9 (continuous maps) and the first part of Chapter 18 on Fourier series.
  3. W. Rudin: Chapters 1-6, pp.1-165.

The problems for exam will be posted on February 1st (at least the English version).



  1. Good Morning
    cant open the links : v.zorich from the site.

    can you tell me how?

    Comment by Ilan — Tuesday, February 2, 2016 @ 8:08 | Reply

    • Dear Ilan,

      You failed to download the files (I doubt it) or open them?

      They are in djvu format, so you have to install an appropriate reader, depending on the device you want to view it on (tablet, laptop/Win, laptop/Mac…)

      Comment by Sergei Yakovenko — Wednesday, February 3, 2016 @ 6:58 | Reply

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