# Mathematics 307 - Applied linear algebra - section 103

## Time and place

Fall term

11:30-1:00 Tuesday & Thursday

Mathematics 105

## The course calculator

The source code

Getting it in other ways

Details on running it

Instruction summary

Program for Newton's method

Program for cubic roots

## Homework assignments and examinations

First homework

First homework solutions

Second homework

Second homework solutions

Third homework

First midterm solutions

Second midterm solutions

Fourth homework

Fourth homework solutions

Hints for last assignment

## Course Notes

Course outline.

Two dimensional vector spaces

The geometry of two dimensional linear transformations

Linear transformations and coordinate changes in two dimensions

Eigenvalues and eigenvectors in two dimensions

Calculator notes

Classification in 3D

Projections

Symmetric matrices

Rotations in 3D

Exponential polynomials

Moments of inertia

Determinants and areas

Calculating moments

Newton's method for finding roots

Solving cubic equations

Gauss elimination

Determinants

Splines

Matrices and quadratic functions I

Matrices and quadratic functions II

Practical eigenvalues

Generalized eigenvalues