Mathematics Resources

On this page I collect various resources for mathematics produced by me. Some of it are my personal notes on various topics, while others are notes prepared for my teaching.

Personal notes

During the summer of 2023 I studied measure/integration theory from Donald L. Cohn's Measure Theory. In order to keep track of all the various definitions I made my self a little cheat sheet. Hopefully it can be of use for others studying the same subject. I am happy to recive feedback on potential errors.

• Overleaf link where the latest version always will be available

• Precompiled PDF last updated 2023-10-21

In the future similiar notes on functional analysis are likely to appear here, based on Heim Brezis' Functional Analysis, Sobolev Spaces and Partial Differential Equations.

Teaching notes

Here are notes for some of the courses that I've taught. They're all in Swedish, and the lessons take the form of tutorial sessions mainly, as such most of the notes are only exercises and how to solve them. There are some errors in the notes, you are most welcome to point them out, then I can change them if I ever teach the course again.

SF1633 Differential equations I

• Tutorial session 1

• Tutorial session 2

• Tutorial session 3

• Tutorial session 4

• Tutorial session 5

• Tutorial session 6

• Tutorial session 7

• Tutorial session 8

• Tutorial session 9

• Tutorial session 10

SF1632 Complementary Course in Differential Equations and Transforms

• Tutorial session 1

• Tutorial session 2

• Tutorial session 3

My bookcase :)