Matematiska vetenskaper, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-A, week 6, 2006

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

Theory

Goal: Derivatives. Newton's method.

Reading: Adams chapter 2.5 - 2.6, 2.7-2.8, 4.6 - 4.7
The numerical computation of derivatives
Newton's method

Teaching

Lecture 6.1: Adams 2.5 - 2.6, 2.8

Studio 6.1: The numerical computation of derivatives

Exercise 6.1:
Demo:
Adams 2.1: 10
Adams 2.2: 41
Adams 2.3: 16, 34
Adams 2.4: 6, 24
Exercises:
Adams 2.1: 5, 7, 9
Adams 2.2: 6, 13, 15, 23, 32, 33, 36, 38, 42
Adams 2.3: 7, 10, 13, 17, 21, 23, 25, 33, 35, 39, 51
Adams 2.4: 3, 5, 7, 9, 23, 25, 33, 37

Lecture 6.2: Adams 4.6 - 4.7. Newton's method.

Studio 6.2: Matlab test!!

Exercise 6.2:
Demo:
Adams 2.5: 27, 45
Adams 2.6: 7, 13
Adams 2.7: 31
Adams 2.8: 17 (skippa induktionsbeviset)
Exercises:
Adams 2.5: 3, 5, 7, 9, 11, 13, 19, 31, 35, 39, 41, 43, 45, 49, 53, 57
Adams 2.6: 1, 3, 5, 7, 9, 11, 15, 17
Adams 2.7: 11, 13, 27
Adams 2.8: 1, 3, 5, 9, 13 (skippa induktionsbeviset), 19

Lecture 6.3: Adams 4.7

Studio 6.3: Newton's method. Use the template newton.m.

/stig