Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet
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