Goal: Repeat from ALA-A: Linearization. Newton's method.
Linear algebra in Rn: scalar product, linear indepedence,
basis, Gauss elimination.
Obligatory work for your individual folder.
94. Taylor's formula
(postscript).
Reading:
90. Linearization and Newton's method.
(ps)
Analytic geometry in Rn. Basic: ch Ch 42.3 - 42.9, 42.14-20.
Advanced: ch 42.21-22.
Exercises: (Do the obligatory work first.)
basic: 97.1, 2, 3, 4, 5 from
97. The exponential function
with a complex variable.
(ps)
basic: 90.1, 2, 3, 4, 5, 6 from
90. Linearization and Newton's method.
(ps)
Lecture 6.1: Taylor's formula. Linear algebra in Rn.
Studio 6.1:
Repear from ALA-A: Implementation of Newton's method for a
general system of equations.
This program will be used in
Project 12.
Lecture 6.2: Linear algebra in Rn.
Studio 6.2: Linear algebra in R^n, part 1.
Lecture 6.3: Linear algebra in Rn.
Studio 6.3:
Project 12. Chemistry teachers
will participate.
/stig