Matematiska vetenskaper, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-A, week 3, 2005

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

Theory

Goal: Understand the definition of xr, and the concepts fixed point, fixed point iteration, and contraction mapping. Understand the the idea of coupled systems of equations.

Reading:
AMBS 15, 16, 18, 19
Minimum reading: 15.1-15.8; 16.1; 18.1-18.5; 19.1,2,3,4,6,7,8,9

Matlab

Reading: Matematik med Matlab - en handledning: Section 3.

Excercises:

Teaching

Lecture 3.1: AMBS 15

Studio 3.1: The Bisection Algorithm

Exercise 3.1:
David's solutions - week 3.
Demo: 15.2b, 15.6, 15.11c, 15.12, 15.15b,
Basic: 15.2, 15.3, 15.5, 15.11, 15.14, 15.15, 15.16, 15.18, 15.19, 15.23, 15.24
Advanced: 15.4, 15.13, 15.17, 15.22

Lecture 3.2: AMBS 16, 18, 19 lecture notes.

Studio 3.2: The Bisection Algorithm (again)

Exercise 3.2:
Demo: 18.1c, 18.3c, 19.3a, 19.4a, 19.19a
Basic: 18.1, 18.3abd but simplify the problem by considering 1/(2+x^2) instead of 1/(1+x^2),
19.1, 19.2a, 19.3b, 19.4, 19.10, 19.11, 19.12, 19.13, 19.14, 19.18 but simplify the problem by considering g(x)=x^2/(10-x) with L=21/81 on [-1 1] instead of g(x)=x^4/(10-x)^2,
19.21a, 19.22
Advanced: 18.4, 19.16, 19.17, 19.23

/stig


Last modified: Wed Sep 4 11:08:20 MET DST 2002