**Goal:**

The definition of the derivative.
To understand the different "rules of
differentiation", for example for the power functions x^r, sums and
products, and for composite and inverse functions. Further, to
understand Newtons method, both for a scalar equation and systems of
equations.

**Reading:**

AMBS chap 23, 24, 25.

**Excercises:**

**Lecture 6.1:**
AMBS 23

**Studio 6.1:**
3D Geometry (again)

(Gaussian
Elimination is moved to ALA-B.)

**Exercise 6.1:**

David's solutions - week 6.

Demo: 23.1 for x^4,

Basic:
23.1, 23.2, 23.6, 23.7

24.2, 24.4 hint: use the fact that 2^(x+h)-2^x=2^x(2^h-1) (why?), 24.5.

Advanced: 23.4,

**Lecture 6.2:**
AMBS chap 24, 25

**Studio 6.2:**
Linearization,
Newton's Method

**Exercise 6.2:**

Demo:

Basic:
exercises on
differentiation.

Advanced:

**Lecture 6.3:**
AMBS chap 25

**Studio 6.3:** Matlab test!!
Övningstest.

/stig

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