Semester page for MAT4400 - Spring 2023

A solution of today's exam is available here. Note that it may well happen that some of the subproblems might be solved in a different way. 

Have a nice summer!

The solutions of the exam sets for 2018 and 2019 are now available (use the link "Solutions of some old exam sets"). The solutions for for 2020, 2021 and 2022 will be uploaded at the end of next week, after we have discussed these in class. 

The exercice session on May 19 is cancelled. It will be replaced by a session given by Emilie on Tuesday, May 30, 2.15-4.00 pm in Aud. 2, Vilhelm Bjerknes' hus. It will then possible to ask questions you might have on the curriculum. If you have a question on a specific problem, please send an e-mail to Emilie in advance.

For some unknown reason, the schedule is not available via the web page this afternoon (at least for some of you). Before this get fixed, you can find the notes from today's lecture here.

The curriculum that you should be familiar with in connection with the final exam this spring consists of the material covered during the lectures (except the one on May 16) and the exercises sessions, see the notes and solutions available in the schedule for the course. Here is an overview of the topics which are relevant for the exam, with references to the literature. 

From Lindstr?m's book ?Spaces?: 

Sections 7.1 - 7.6 and 7.9 

Sections 8.1 - 8.4

In section 7.2, the proof of Theorem 7.2.5 (which include Lemmas 7.2.2-7.2.4) was not covered; you need only to know what this theorem says.  

In section 8.2, we only sketched the proof of Theorem 8.2.6; you don¡¯t have to spend time scrutinizi...

The solutions for all exam sets from the period 2010-2017 are now available on the home page for the course. Note that the curriculum has changed a bit over the years, so just drop the problems where you don't understand what you are asked to do. Solutions for the years 2018-2022 will be made available later on.

Here is a solution to the mandatory assignment. (Note that some of the questions could be answered in several ways -- the proposal just gives one possible solution in such cases).

Be aware that in connection with the Open Day taking place today at UiO, the lecture is moved to room 107 in NH Abels House. 

The mandatory assignment is now available here. Your solutions must be handed in as a single pdf-file in Canvas (see link to Canvas above). The deadline is Thursday, Mars 9, 2023, within 14:30. More information is given on the first page of the assignment.

Student representatives this spring are Vytenis Orlauskis og Zejing Wang.

Those who would like to read an alternative presentation of measure and integration theory can consult John K. Hunter's notes, which are freely available via this link. (Chapters 5 and 6, and section 7.5 are not part of the curriculum for MAT3400/4400). NB: it is not expected that you should read these notes, and we won't refer to them during the course.

Sorrily, the book Spaces that we will use the first weeks of this semester is not yet available at Akademika. It is expected to arrive early February. Meanwhile, those who haven't this book already can find a copy of sections 7.1-7.4 here. 

The weekly exercise sessions will take take place on Fridays 12.15-14. The exercise sets will usually be made available on Thursdays the week before, on the web-page and in the schedule. The set for Friday January 27 is now available. Two of the extra exercises (1 and 3) don't require any knowledge of what will be covered during the first lecture on Tuesday January 24, so you can have a look at these already now! 

Welcome to MAT3400/4400 Spring 2023!

Here is a list of misprints and corrections to Lindstr?m's book Spaces that we will use during the first weeks of the course. (If you don't have this book already, you must buy it at the Akademia book shop). We will thereafter cover Brevig's note A measure of Lebesgue measure before we switch to Notes on elementary linear analysis.