Matematik och
Datavetenskap,
Chalmers Tekniska Högskola
och
Göteborgs Universitet
###
ALA-B, 2004, week 6

Home,
w 1,
w
2,
w 3,
w 4,
w
5,
w 6,
w 7. Matlab:
analysis,
linear algebra,
facit.
**Goal:** Repeat from ALA-A: Linearization. Newton's method.

Linear algebra in R^{n}: scalar product, linear indepedence,
basis, Gauss elimination.

**Obligatory work for your individual folder.**

94. Taylor's formula
(postscript).

**Reading:**

90. Linearization and Newton's method.
(ps)

Analytic geometry in *R*^{n}. Basic: ch Ch 42.3 - 42.9, 42.14-20.
Advanced: ch 42.21-22.

**Exercises:** (Do the obligatory work first.)

basic: 97.1, 2, 3, 4, 5 from
97. The exponential function
with a complex variable.
(ps)

basic: 90.1, 2, 3, 4, 5, 6 from
90. Linearization and Newton's method.
(ps)

**Lecture 6.1:**
Taylor's formula.
Linear algebra in R^{n}.

**Studio 6.1:**
Repear from ALA-A: Implementation of Newton's method for a
general system of equations.

This program will be used in
Project 12.

**Lecture 6.2:**
Linear algebra in R^{n}.

**Studio 6.2: **
Linear algebra in R^n, part 1.

**Lecture 6.3:**
Linear algebra in R^{n}.

**Studio 6.3: **
Project 12. Chemistry teachers
will participate.

`/stig`

Last modified: Fri Oct 22 17:39:46 MET DST 1999