# Semester page for MAT4400 - Autumn 2017

The exam is over now. I hope you all did really well.

If you want to see the problems again the exam set is here: /studier/emner/matnat/math/MAT4400/h17/Exercises%20and%20notes/exam/mat34004400.pdf

And the solution is here: /studier/emner/matnat/math/MAT4400/h17/Exercises%20and%20notes/exam/solution.pdf

On Wednesday the 6th of December from 13:00 to 14:30 in Auditorium 2 in Vilhelm Bjerknes hus we have question time. You can come and ask questions about anything from the curriculum or about old exam questions and I'll answer as best I can.

If you are unable to attend at the time (I understand that some of you have an exam there), you can instead come from 9:00 - 9:45 on Thursday the 7th of December also in Auditorium 2 in Vilhelm Bjerknes hus.

it has been pointed out to me, that there was a typo in the self-evaluation. A square root was missing in the problem about L^2 as a Hilbert space (so that the g_n weren't actually normalized). It has been corrected now.

As a tool for you to self-evaluate how much you have learned in the second part of the course, I have made short document that highlights five 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 not just this note!
- This is entirely voluntary. If you don't want to do this you don't have to. (But I of course encourage you to do it)

Since we have passed the deadline for resubmission of the mandatory assignment, you can now see my solution.

As a way for you to prepare for the exam, 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 the course this year.
- 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 Tuesday the 21st, 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 for the benefit of your fellow students. I might also go through some of your questions at one of the lectures.

Doing this is entirely voluntary. However, I think it will help you do better at the exam. I...

There was a typo in problem 2a of the mandatory assignment. The function should go from Omega to the reals, not from curlyA to the reals. I apologize for the mistake.

The mandatory assignment will be available from Wednesday 18/11 23:59.

As a tool for you to self-evaluate how much you have learned in the first part of the course, I 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 I of course encourage you to do it)

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 the same thing twice sometimes.

From autumn 2017 all mandatory assignment must be uploaded to Devilry.

- The assignment must be submitted as a single PDF file.
- Scanned pages must be clearly legible. If these two requirements are not met, the assignment will not be assessed, but a new attempt may be given.
- The submission must contain your name, course and assignment number.

Read the information about assignment carefully. http://www.uio.no/english/studies/examinations/compulsory-activities/mn-math-mandatory.html

As a tool for you to self-evaluate how much you remember from previous courses, I have made a short document that highlights 4 topics that I 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 me or Ulrik. The problems are meant to give us a jumping-off point for talking about things you used to know.

Two important things to note:...

On Thursdays the lectures will consist of me talking a bit a about proofs, and you doing the proofs. Since some students have conflicting lectures at that time, I will make the problems we go through available after each session.

The exercise sessions will not be moved. Hence they will begin on Friday.

The exercise sessions for the course are at the somewhat unfortunate time of Friday afternoon. It is possible to move them to Monday afternoon (14-16) instead. We will discuss this in the first lecture.