Semester page for MAT4400 - Spring 2018

The exam was today and I hope you all did well. Here is a copy of the exam set with suggested solutions

June 14, 2018 4:42 PM

On Monday the 11th of June from 11:00 to 12:00 in room 107 in Niels Henrik Abels hus we have a question session (orakel). You can come and ask questions about anything from the curriculum or about old exam questions and I'll answer as best I can.

May 28, 2018 11:07 AM

The last lecture on Wednesday will be a revision lecture. Please email me,, about what parts of the curriculum or which problems you would like me to discuss.

May 20, 2018 5:57 PM

The previous exam sets in MAT3400/4400 are gathered here.

May 18, 2018 2:06 PM

There are no exercises Tuesday the 1st of May (due to it being a day off). To make up for this, we will hold an extra exercise session on Thursday the 3rd of May 08.15-10.00 in Aud 1 in Vilhelm Bjerknes' hus (the usual building).

The exercises will be: 4.3, 4.4, 4.6 og 4.11.

Solutions for the exercises (including also 4.7)

Apr. 29, 2018 11:58 AM

Sorrily, the argument in Example 4.2.2 of the Notes was too hastily written. I have now corrected this in the version of Sect. 4.2 available here. My apologies for the inconvenience this might have caused. Erik

Apr. 29, 2018 10:32 AM

Your new student representative is Ricarda Kreutter, email:

Apr. 16, 2018 2:34 PM

The mandatory assignment is now available. The deadline is Monday the 23rd of April at Devilry.

You have to pass the assignment to be eligible to go to the exam. If you make a serious attempt at solving the problems but do not pass in your first attempt you will be given a second attempt.

If you need to apply for a postponement of the submission deadline due to illness or other reasons, you have to contact the Student Administration at the Department of Mathematics ( well before the deadline.

Apr. 4, 2018 8:47 AM

Note that in Tuesday April the 3rd we will have a lecture rather than an exercise session.

Mar. 23, 2018 10:01 AM

Starting from Tuesday, Mars 20, the exercises sessions will be organized as an open session where you can come, work with the assigned exercises, and get some help and hints when needed.

Mar. 20, 2018 9:49 AM

As a way for you to review the first half of the course, I propose that you try to make your own exam questions. This would work as follows:

  • You read through some of the exams from previous years to get an idea of what exam questions look like.
  • You review what we have learned in so far.
  • You try to formulate exam questions that test the most important aspects of the course.

If you hand in your questions to me, either in person or by email before Easter, I will look through them and tell you if I think they are of an appropriate level. If you permit it, I will post your questions online (possibly anonymously) for the benefit of your fellow students. I might also go through some of your questions at one of the lectu...

Mar. 19, 2018 8:50 AM

The due date for the mandatory assignment (oblig) will be the 23rd of April. The assignment will be made available to you at least 2 weeks before that date.

Mar. 15, 2018 12:50 PM

As a tool for you to self-evaluate how much you have learned in the first part of the course, we have made short document that highlights six topics we have looked at. Each topic tells you what you are expected to know at your finger tips (i.e. without looking it up) and gives a small problem testing your knowledge. Each problem should be solvable in about 5 to 10 minutes.

Two important things to note:

  •  The curriculum is still chapters 3-5, not just this note.
  •  This is entirely voluntary. If you don't want to do this you don't have to. (But we of course encourage you to do it)...
Mar. 7, 2018 7:11 AM

You Student Representative is Elias Fåkvam. His email address is .

Mar. 2, 2018 11:09 AM

Here are three ways to read Chapters 4 and 5:

  • The obvious way: read chapter 4 first and then chapter 5.
  • The quick way: read only chapter 5 but refer back to 4 when ever a proof from 4 is needed. Finally read Theorem 4.9. This is the way closest to what we will do in the lectures.
  • The best but slightly longer way: read the sections in this order 5.1, 5.2, 4.1, 5.3, 4.2, 5.4, 4.4. This way emphasizes how the Lebesgue integral on the real line is a special case of the general construction. It is the most complete way, but does require reading essentially...
Feb. 7, 2018 1:35 PM

We are taking an alternate route through the results in section 3.3. We are following these notes: /studier/emner/matnat/math/MAT4400/v18/notes/a-weak-verison-of-theorem-3.9.pdf

Feb. 2, 2018 9:12 AM

As a tool for you to self-evaluate how much you remember from previous courses, we have made a short document that highlights 4 topics that we expect you to have seen before. Each topic tells you what you are expected to know at your finger tips (i.e. without looking it up) and gives you small problems testing your knowledge. Each problem should be solvable in about 5 to 10 minutes.

If you struggle with any of these problems, come and talk to us. The problems are meant to give us a jumping-off point for talking about things you used to know.

Two important things to note:

  •  This...
Jan. 16, 2018 2:27 PM

I have made a google doc that is a vocabulary of new words and concepts from the course: . I encourage you to keep adding to and editing the document as the course goes on. That way you will collaboratively have made nice notes by the end of the course

Jan. 15, 2018 11:12 AM