Beskjeder

I have finished correcting the resit exams, and your grades will show up in Studentweb in a short while. You can find the exam here and a model solution here.

Best regards,
Ulrik

Dear all,

We have finished correcting the exams, and your grade should appear in Studentweb shortly. The grade distribution (in percentage points) was as follows:
A: 14,5
B: 11,3
C: 22,6
D: 12,9
E: 12,9
F: 25,8

Matematisk Fagutvalg is doing a course evaluation of MAT2400. I would greatly appreciate if you would spend a few minutes and complete the evaluation. Thank you!

I wish you all a great summer!

Warm regards,
Ulrik

Here is a solution to today's exam.

Dear all,

Here are several messages:

1. We have finished correcting Oblig 2; please take some time to read through our comments.
2. I have finalised the syllabus.
3. I have updated the page Studying for the exam with more links to relevant exam problems, and some information on the exam.
4. You can stop by my office on Fridays at 11–12 if you have questions. I also reply to e-mails.

It's been a pleasure to teach this course, and I hope you have enjoyed taking it. Good luck with your exams!

Best wishes,
Ulrik

I have written a note called Measure theory in a nutshell, which is a condensed version of Chapters 7 and 8. You will find a link under "Resources". The note contains what I have focused on during lectures.

The note is a work in progress; in particular, I haven't written Sec. 1.8 yet. Please get in touch if you find any errors!

Best regards,
Ulrik

The second mandatory assignment has now been published in Canvas.

Note: Contrary to the first assignment, the only requirement for getting your assignment approved is that you hand in anything at all! Thus, you may hand in an empty PDF file, or you may hand in solutions to every exercise. You will receive feedback on everything that you hand in.

Best regards,
Ulrik

Dear all,

I have published a note on preparations for the exams, including earlier exam problems. You will find it under "Resources".

Best regards,
Ulrik

We have finished correcting oblig 1, and you will find the corrected assignment in Canvas. Please read your feedback thoroughly – you will learn from doing so! If you have any questions or comments, send us a message in Canvas or send us an email.

I have compiled a list of common mistakes in your solutions. Please read it before you start on the second mandatory assignment.

On Tuesday we also discussed good, and less good, use of LLMs (such as Claude, ChatGPT, etc.). To put it short, I think asking or discussing with an LLM can be a great way to understand the material – in the same way that asking or discussing with a fellow student can teach both of you a lot. However, just as with asking fellow students, you risk getting too reliant on the LLM. One of the most central skills you acquire when studying mathematics is to be comfortable with getting stuck when working on a hard problem!

Here is a suggested solution to mandatory assignment 1. Johannes and I will correct your assignments as soon as possible.

Best regards,
Ulrik

Dear all,

I have written a first draft of the syllabus for this semester, along with suggestions for where to look for supplementary material. You will find it on the page under Resources on the semester front page.

Best regards,
Ulrik

The first mandatory assignment ("oblig") has now been published. You will find it both on the semester home page and in Canvas. The deadline is Thursday 12 March at 14:30.

Please read the instructions in the assignment carefully before you start working on the assignment. As always, let me know if you have any questions!

Best regards,
Ulrik

Dear all,

Update: Office hours will be on Fridays at 11:00 to 12:00 in my office, room 1017 on floor 10 of Niels Henrik Abel's house.

I will offer office hours for MAT2400 this semester. Office hours is a fixed weekly time slot of one hour where you can come to my office and ask questions about the syllabus. 

To find the best time, please fill out this form as soon as possible. (You will need to log in with your UiO user name.) I will update this message when a time slot has been fixed.

Best regards,
Ulrik

The student representatives this year are Maja and Joakim. Please get in touch with them if you have any complaints or suggestions for the course! (Of course, you are very welcome to get in touch with me directly.)

Best wishes,
Ulrik

Dear all,

On Friday Matematisk Fagutvalg is organising an event where I will give a talk on things relating to my own research. It should be accessible to all of you, and touches upon the general themes of MAT2400.

That's Friday 30 January at 16:30 in auditorium 4 of Vilhelm Bjerknes' hus. The talk will last for about 30 minutes. I have been told there will be pizza.

Best regards,
Ulrik

[English version below]

Velkommen til MAT2400 – Reell analyse! 

Reell analyse er det store feltet i matematikk som handler om konvergens, kontinuitet, integrasjon og derivasjon av funksjoner på tallinjen, eller mer generelt, på reelle vektorrom. Emnet MAT1125 er ikke en obligatorisk forkunnskap, men vi kommer til å møte igjen mange idéer derfra.

Vi kommer til å jobbe i metriske rom, som er en generalisering av vektorrom, men de fleste eksemplene våre kommer til å være nettopp vektorrom. Vi skal bruke veldig mye tid på de fire K-ene: Konvergens, kontinuitet, kompletthet og kompakthet i metriske rom. Fra og med 2026 vil MAT2400 også inneholde en introduksjon til målteori, som er den moderne teorien for integrasjon av reellvaluerte funksjoner (funksjoner med ℝ som verdiområde).

Vi kommer til å bruke Tom Lindstrøms bok Spaces. Pe...