Goal: 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).
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: 90.1, 2, 3, 4, 5, 6 from 90. Linearization and Newton's method. (ps)
Lecture 6.1: 90. Linearization and Newton's method. (ps)
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.