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