Dette emnet er erstattet av MAT3440 – Dynamiske systemer.


Publisert 20. mai 2014 23:22

This will be the last ordinary lecture / problem session. We will discuss:

1. The type of critical points of  almost linear autonomous systems versus its linearization.

2. Exam 2011 Problem 3 (and  Problem 1 if there is enough time).   Misprint in 3a: Show that p is a decreasing function (not increasing).

See the Schedule for the exam set in Norwegian.


Publisert 11. mai 2014 16:15

Second chance:

The solution sets are now available in the Math. building, 7th floor. 

Publisert 24. apr. 2014 09:12

All  solution sets are now available at the 7th floor of the Mathematics building.

Publisert 22. apr. 2014 10:38

Those who did not get their solutions approved, will have a new chance with deadline May 7,  2:30 p.m.

Publisert 22. apr. 2014 10:36

We will discuss the Maximum Principle and Mangasarian's Theorem under various endpoint conditions. These are some of the most important results in Control Theory.

Publisert 1. apr. 2014 17:38

In addition to theory from Sectiom 5.7 and 5.8 in EP we will do Exercise 5.7.3 and 5.7.21.

Publisert 20. mars 2014 18:27

No lecture on Tuesday March 25.

No problem session on Thursday March 27.

Publisert 3. mars 2014 11:52

The obligatory problems are now available at


Your solutions must be handed in at the seventh floor of the Mathematics building  by 2:30 PM, April 10.

Publisert 6. feb. 2014 19:03

On Tuesday February 11 we will talk about Convexity/Concavity for functions of several variables. In addition we will start on the Euler equation in the Calculus of Variations. See the Lecture Notes


or the books of Sydsæter et al.

For those who would  like to move a bit deeper into Optimal Control Theory, we recommend the book

Daniel Liberzon, Calculus of Variations and Optimal Control Theory,

which is available in the bookstore and in the library. This book also contains a proof of  a version of the Maximum Principle in Control Theory.

Publisert 22. jan. 2014 08:11

In addition to the given exercises, we will look at Section 1.6 in E&P about reducible equations. See the Schedule.

Publisert 28. des. 2013 15:04