Matematiska vetenskaper, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-A, week 3, 2006

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

Theory

Goal: The real numbers, Cauchy sequence, solving equations f(x)=0 by the bisection algorithm.

Reading: Lecture notes.
Bisection 1, lecture notes

Matlab

Goal: Function m-file. Bisection algorithm.

Reading: Jönsson: 7.1-7.4

Teaching

Lecture 3.1: Bisection 1, lecture notes

Studio 3.1:
Demo: function, function handle, feval.
Exercises: Jönsson övningar kap 7: 1, 2, 3, 9

Exercise 3.1:
Demo: 9.1: 7, 11, 25
Exercises: 9.1: 1, 2, 3, 4, 5, 6, 11, 12, 14, 16, 18, 24, 25 (26 is not very suitable)

Lecture 3.2: Bisection 2, lecture notes

Studio 3.2: The bisection algorithm 1

Exercise 3.2:
Demo: number 3 of the following.
Exercises: Lipschitz continuity
Demo: number 4 of the following.
Exercises: Bisection 2, lecture notes, page 12.

/stig