Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-B, 2000, week 6

Home, w 1, w 2, w 3, w 4, w 5, w 6, w 7. Matlab: analysis, linear algebra.

obs!! innehållet i denna sida är ännu inte slutligt fastställt!! obs!!

Goal: Stability of a dynamical system. Matrix eigenvalue problem.
Do your own application.

Reading: "Dynamiskt system. Tankreaktorn" (was handed out in week 5).

Exercises:
"Dynamiskt system. Tankreaktorn": övning 1, 2, 3, 4, 5, 6, 7, 8.
"Kap 6. Elementär linjär algebra": övning 6.2, 6.3, 6.4, 6.5

Lecture 6.1: The tank reactor: heat balance. Arrhenius law.
The least squares method. Dynamical system, linearization, stability.
(Lecture notes will be handed out.)

Studio 6.1: Linear algebra in R^n, part 4.

Lecture 6.2: The matrix eigenvalue problem. Stability. (Lecture notes will be handed out.)

Studio 6.2: Stability of the tank reactor.
And work on your project application.

Lecture 6.3: The symmetric eigenvalue problem. The spectral theorem. (Lecture notes will be handed out.)

Studio 6.3: Work on your project application.
(Onsdag eftermiddag: seminariedag i forskarskolan "Molekylär bioteknik".)

/stig



Last modified: Fri Oct 22 17:39:46 MET DST 1999