Messages

By Kim Anders Frøyshov
Published May 20, 2026 2:25 PM

Lecture notes:

From Loring W. Tu, "An Introduction to Manifolds":

§1-6, 7.6, 7.7, §8, §9, 10.3, 11.1-11.4, 12.1, 12.2, §13, §14, 15.1, 15.2, §16, 17.1, 17.2, 17.5, 18.1, 18.4-18.6, §19, 20.4, 21.1-21.4, §22, 23.3-23.6, §24, §25, 26.1, 26.2, Appendices B.3, §C.

By Kim Anders Frøyshov
Published May 15, 2026 1:27 PM

The exam will be held on 1 June in NHA 1020 with the following schedule:

  9:20  Torm Klemet Bæverrud

10:10  Tommaso Ciolli

11:00  Edvard Aasen

12:50  Klara Liaaen Aronsen

13:40  Anton Andreas Brekke

14:30  Frederik Callin Østern

 

By Kim Anders Frøyshov
Published May 11, 2026 3:20 PM

Here are the solutions.

By Kim Anders Frøyshov
Published Apr. 7, 2026 1:19 PM

Here are the assignment problems. The solutions should be submitted through Canvas by Thursday the 23rd April at 14:30.

By Kim Anders Frøyshov
Published Mar. 11, 2026 2:51 PM

In the additional lecture on Friday, I plan to cover the following:

Problem 13.3. In (b) assume A is contained in U.

14.2:  Integral curves

14.3:  Local flows

By Kim Anders Frøyshov
Published Mar. 5, 2026 5:17 PM

To make up for some of the time we lost earlier, there will be an additional lecture on Friday the 13th March from 12-14 in NHA 720.

By Kim Anders Frøyshov
Published Feb. 26, 2026 10:02 AM

The final exam will be oral, and it will be held on 1-2 June 2026.

By Kim Anders Frøyshov
Published Feb. 11, 2026 10:38 AM

I am sorry that I have to cancel todays lecture due to illness. To make up for the time we lose, there will be an additional lecture later in the semester.

By Kim Anders Frøyshov
Published Feb. 10, 2026 9:31 AM

The lecture is cancelled due to illness.

By Kim Anders Frøyshov
Published Feb. 6, 2026 2:04 PM

The assignment problems will be posted no later than the 9th April and the solutions should be returned through Canvas by the 23rd April.

By Kim Anders Frøyshov
Published Jan. 16, 2026 2:33 PM

Welcome to MAT4520!  The course will mainly be based on the book

Loring W. Tu:  "An Introduction to Manifolds",

and we will begin with Chapter 2: Manifolds.