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