# TMA4165 Differential Equations and Dynamical Systems - Spring 2019

## Messages

In reverse chronological order:

(2019-06-01) Today's exam and a solution can be found under

Previous exams (at the bottom). Let me know if you find misprints or errors, or if something is just too unclear.

(2019-05-28) I will hold office hours in the week of the exam: Wednesday 13–15 and Friday 10–12 and 13–15.

Several students have asked about *manifolds*. Don't worry too much about that: There will be no questions regarding these on the exam. *However*, you are expected to know about the separatrices associated with a saddle point in a two-dimensional system, also known as the stable and unstable curves (manifolds).

Another question that has come up: The exercises are technically not part of the syllabus (this year). Their main purpose is to give you an opportunity to work with the subject matter in order to gain useful experience. I will post some answers, but there is no way I can post answers to all exercises at this stage. Sorry about that. However, feel free to ask about any particular exercise (by mail or in person), and I will answer as best I can.

(2019-02-01) The next exercise is up at last. Sorry to be late again. Old exam problems are available (see the menu). Finally, a preliminary list of chapters and sections from the book to be covered by the class is now available on the course information page.

(2019-01-21) Just in case it's not clear: There are **no mandatory** exercises or other activities in this course. (But I *strongly* recommend doing the exercises anyhow.) I am going to post (at least partial) solutions to the exercises as we go along. The first ones will be a bit late.

(2019-01-10) **It took forever** and a half, but the first exercise set is now up.

(2019-01-09) Unfortunately, picking problems for the first round of exercises is delayed while I have my hands full organising the second round of the Abel competition (see here if interested:

Norwegian/

English). I'm sorry about that.

(2018-11-08) The course will (probably!) be lectured by

Harald Hanche-Olsen. Lectures will be in English if necessary. If you intend to take the class, and need to have the lectures in English, please drop me a note! More information will appear here in due course.