Matematiska vetenskaper, Chalmers Tekniska Högskola och Göteborgs Universitet

### ALA-A, week 4, 2005

[home, week 1, week 2, week 3, week 4, week 5, week 6, week 7]

### Theory

Goal:
Understanding vectors and fundamental vector and matrix algebra, including projections, rotations, reflections etc. Further, linear systems of equations and a first taste of the important concepts linear dependence/independence of vectors, and basis.

AMBS chapt 20

### Matlab

Reading: Matematik med Matlab - en handledning: Section 5.

Excercises:

### Teaching

Lecture 4.1: Special lecture (ps for printing), preparing for the particle-in-box model and Lambert Beers law.

Studio 4.1: The Fixed Point Iteration Algorithm

Exercise 4.1:
David's solutions - week 4.
Demo: 20.3iii,v, 20.7iv, 20.10iii, 20.14ii,
Basic: 20.1, 20.3, 20.4, 20.5, 20.6, 20.7, 20.8, 20.9,
20.10 (note misprint: "...projection of a onto b onto (1,2) with..." should read "...projection of b=(1,2) onto a with..."),
20.11, 20.12 (see 20.13), 20.14,

Lecture 4.2: AMBS 20

Studio 4.2: The Fixed Point Iteration Algorithm (again)

Exercise 4.2:
Demo: 20.15iv,vii, 20.19, 20.22ii
Basic: 20.15, 20.16, 20.17, 20.18, 20.20, 20.21, 20.22, 20.25