Goal: Stability of a dynamical system. Matrix eigenvalue problem.
Obligatory work for your individual folder. Selected
problems from the "repetition exercises 91-94": 91.5, 92.2c, 92.3c,
92.4, 92.5c, 92.6c, 92.8c, 93.1 (do at least one of the statements in the
table in Zumdahl), 93.3a, 93.7a, 93.9a, 93.10a, 94.1d, 94.2d
(This is the last obligatory assignment, to be done in week 6-7.)
Reading:
AMBS Ch (41.20-28), 41.29-42. Lecture notes (to be handed out).
Dynamiskt system 1.1-1.4.
Exercises:
Dynamiskt system. :
övning
1, 2, 3, 4, 5, 6, 7, 8.
Repetition exercises:
91. Linearization
(postscript).
92. Analytical computation of integrals
(postscript).
93. Analytical solution of differential
equations
(postscript).
94. Taylor's formula
(postscript).
Ordinary differential equations - summary
(postscript).
Lecture 6.1: Determinant. Inverse matrix. (Lecture notes will be handed out.)
Studio 6.1: The tankreactor 2.
Lecture 6.2:
Projection. The least squares method.
Dynamical system, linearization.
Studio 6.2: Linear algebra in R^n, part 3.
Lecture 6.3: The matrix eigenvalue problem. Stability. (Lecture notes will be handed out.)
Studio 6.3:
Linear algebra in R^n, part 4.
/stig