week 7]
### Theory

**Goal:**
Understand the definition of *x*^{r}, 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