Matematiska vetenskaper, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-A, week 6, 2005

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

Theory

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.

Matlab

Reading: Matematik med Matlab - en handledning: Section 6.

Excercises:

Teaching

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