Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-B, 2001, week 1

Home, w 1, w 2, w 3, w 4, w 5, w 6, w 7. Matlab: analysis, linear algebra, facit.

Goal: Understand basic concepts of geometry and linear algebra in 3-D. Implementation of Newton's method.

Reading: AMBS Ch 21. Lecture 1. (ps)

Exercises:
basic: 90.1, 2, 3, 4, 5, 6 from Lecture 1.
21.1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 18, 19, 21.

advanced: 21.14, 15, 16, 17, 20, 22, 23, 24.

Verify your solutions by matlab computation whenever possible.

Obligatory work: Implementation of Newton's method, see the studio exercises.

Lecture 1.1: Introduction. The derivative (Jacobi matrix)  Df(x)  of a function f: Rn->Rm, numerical computation of the derivative, Newton's method.

Lecture 1.2: Geometry and linear algebra in R3.

Lecture 1.3: Geometry and linear algebra in R3.

Studio 1.1: Implementation of Newton's method for a general system of equations.
This program will be used in "Inledande kemi" in week 2.

Studio 1.2: Continue with Implementation of Newton's method for a general system of equations.

/stig


Last modified: Sat Dec 1 13:38:56 MET 2001