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Published June 8, 2021 4:34 PM

Candidates can meet outside Room 723 (the room where we had the exam) at 16:00 on Wednesday June 9th to receive their grade. Otherwise you can request the grade by email.

Published May 28, 2021 12:01 PM

Everyone should have now received a date and time for their oral exam. If you wish to have a digital oral exam and have not yet informed me, please do so.

In addition to the question session at noon on Friday June 4th, I will organize an extra question session at noon on Monday June 7th. The usual Zoom link will be used.

Published May 10, 2021 8:06 PM

The oral exam will be on Tuesday and Wednesday June 8th and 9th. If you have a strong preference for one of the days over the other, send me an email.

Unless the pandemic in Oslo suddenly becomes much worse, we can have physical oral exams. I have booked Room 723 in Niels Henrik Abels Hus for this purpose. When the dates get closer, I will send out information about the precise times of each candidate.

If you wish to have a digital oral exam, please send me an email.

Published May 9, 2021 2:16 PM

On Wednesday May 5 we had the last ordinary lecture in MAT4450 this spring. The curriculum is the material of the lecture notes. The last four lectures will be repetition of the most central themes of the curriculum.

I have uploaded a checklist which can be accessed from the front page. It is not meant to represent the curriculum in a complete way, but it contains some essential questions about the curriculum that are likely to be addressed during the exam.

Published May 3, 2021 2:34 PM

The oral exam in MAT4450 this spring will be held preferably on two executive days in early June. In order to find suitable dates, it would be helpful if the candidates could either fill out this Doodle or send me a mail with the dates that are possible.

Published Apr. 26, 2021 1:16 PM

Please note that the lecture on Wednesday April 28 is canceled.

Published Apr. 21, 2021 4:38 PM

Hilbert-Schmidt operators are covered in the lecture notes for MAT4400, see page 86.

Here is a note I wrote on summation over general index sets in Banach spaces: Uncountable summation in Banach spaces.

Published Mar. 25, 2021 10:49 PM

The mandatory assignment is now available here. Note that the deadline is April 22nd at 14:30. Further instructions can be found in the pdf file.

Published Mar. 22, 2021 4:15 PM

I have now published a seventh exercise set over at the Exercises page.

Published Mar. 16, 2021 11:08 AM

Due to the covid situation, UiO goes back to digital teaching today. Therefore, we will have to go back to digital lectures from tomorrow Wednesday March 17 and at least until April 11.

See you on Zoom!

Published Mar. 8, 2021 6:10 PM

I have posted another exercise set over at the Exercise page.

Published Mar. 5, 2021 1:10 PM

Let's have another exercise session in the first hour of the lecture on March 10th, Wednesday next week. In the meantime you can think about particular exercises that you want to see solved.

Published Feb. 26, 2021 2:47 PM

We had a discussion in the question session today about exercise 7b) in Exercise set 4. It turns out one needs X to be a Banach space here, and I have corrected the mistake. I have written a solution here together with a comparison of a similar result:

Note

Published Feb. 26, 2021 11:21 AM

From the the 1st of March we are allowed to have physical teaching at Blindern again. Thus, from Monday next week, I will give blackboard teaching in Room 723 in Niels Henrik Abels hus, and you are welcome to join. I will attempt to use the equipment there to stream the lecture digitally as well, via the usual Zoom link.

Published Feb. 4, 2021 11:59 PM

The third exercise set has been posted on the exercise page.

Published Feb. 3, 2021 4:34 PM

Fride Straum is the student representative for MAT4450 this semester. You can contact her at fjstraum[at]math[dot]uio[dot]no.

Published Jan. 25, 2021 12:43 PM

I have also uploaded a new exercise set which you can find at the Exercises page. As always I strongly recommend attempting to solve some of the exercises to get hands-on expericence with the concepts in the curriculum. If you want a hint you can always send me an email or ask in the question sessions on Fridays.

Published Jan. 25, 2021 12:18 PM

Due to the extension of the lockdown and digital teaching, we will start having a question session / office hours every Friday at 12 (noon). This will be an hour where you can ask any question you might have about the course, the lecture notes, the exercises, math in general and whatnot.

If 12 on Fridays turns out to be a bad time, send me a mail and we can try to change the time.

We will use the same zoom link for the question session that we use for the lectures.

Published Jan. 20, 2021 10:05 PM

After the announced updates of the Covid regulations from the government, the faculty has decided that digital teaching will have to continue for some more time. Thus we will continue the Zoom lectures next week.

As mentioned, we will look at the exercises from Exercise Set 1 on Monday next week (January 25). 

Published Jan. 14, 2021 2:30 PM

The department has decided that digital teaching continues for at least a week. Thus we continue with the Zoom lectures on Monday January 18 and Wednesday January 20. We use the same link as before, which is available on Canvas as usual.

Published Jan. 4, 2021 12:13 PM

The lectures this spring will be based somewhat loosely on the following book:

G. K. Pedersen, Analysis Now, 1989. Springer. ISBN: 978-0-387-96788-2. Corrected 2nd printing.

I will also write lecture notes that will be published here on the webpage.

Due to the newly announced covid restrictions we will have digital lectures on Zoom next week. The lectures will be accessible through Canvas. Please send me an e-mail if you have problems accessing the lectures.

Ulrik