Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-B, 2000, week 1

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

Goal: Understand basic concepts of geometry and linear algebra in 3-D. Implementation of Newton's method. Finish project 1 (except perhaps the report).

Reading: EM2000 Ch 21 (corrections) and the first 6 pages of the article

A. Neumaier, Molecular Modeling of Proteins and Mathematical Prediction of Protein Structure,
SIAM Review 39 (1997), 407-460.   (You find it here: ps or pdf.)

Exercises:
basic: all exercises from Ch 21. Verify your solutions by matlab computation whenever possible.
advanced:

Lecture 1.1: Introduction. Geometry in R3. The derivative (Jacobi matrix)  Df(x)  of a function f: Rn->Rm, numerical computation of the derivative, Newton's method.

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

Lecture 1.2: Geometry, linear algebra.

Studio 1.2: Project 1: molecule geometry.

Lecture 1.3: Geometry, linear algebra.

Studio 1.3: Project 1: molecule geometry

/stig


Last modified: Mon Oct 23 06:45:16 MET DST 2000