Messages - Page 2

The Mathematics Department has decided to cancel all (physical) classes from Thursday March 12th till Tuesday April 14th. For MAT3400/4400 the plan is to continue with podcasts of lectures as before. We have to think a little about what we shall to do with the problem sessions.  If you have questions about the mandatory assignment, you should contact Tom or Ulrik by email. Information about the exam will come later when the University has decided what to do.

The sound problem in Auditorium 2 should now be fixed.

There is a potentially confusing misprint on page 24 of "Notes", line 4 from the top. The sentence should say: "It is obvious that a linear functional from a normed space INTO A FINITE DIMENSIONAL SPACE always has finite rank"

The mandatory assignment is now available here. The deadline is March 12th. The problems can be solved on the basis of what we have been through so far, i.e. up to an including section 8.4.

Tom is away the week February 24.-28., and this leads to the following changes in the schedule:

Friday 21: Lecture by Tom (not problem seesion)

Monday 24: Problem session by Ulrik (not lecture)

Thursday 27: Lecture by Ulrik

Otherwise things are as normal.

Some students have asked for solutions to more exercises. I have republished last years solutions to give you access to a few more. You find links to these solutions here (there doesn't seem to be any for the very first weeks).

I was asked in class today whether there is a characterization of the Riemann integrable functions, and there is a nice one due to Lebesgue: A bounded function on an interval [a,b] is Riemann-integrable if and only if its set of discontinuities has Lebesgue measure zero. For comparison, the set of discontinuities for the Dirichlet function is the entire interval [a,b].

We switch the lecture and the problem session on January 30/31. Thus:

Thursday 30th: Problem session (Ulrik)

Friday 31st: Lecture (Tom)

The date has now been fixed: Thursday, March 12th at 2.30 pm.

A preliminary and tentative schedule for the lectures is now available under "Schedule".