Welcome to the Wiki for TMA4145 Linear Methods.

The primary aim of this course is:

That the students learn how to use the tools needed to study the space of complex-valued continuous functions on the interval $[0,1]$ ($C([0,1],\mathbb{C})$).

The tools needed to study this space can be divided into the following sections:

Foundations
What is $C([0,1],\mathbb{C})$?
Metric Spaces
How do we describe things in $C([0,1],\mathbb{C})$?
Vector Spaces
How can we simplify $C([0,1],\mathbb{C})$?
Hilbert Spaces
What is the best description of $C([0,1],\mathbb{C})$?
##Table of Contents## ###TMA4145### * Introduction * Mathematical Content * Main Topics: * Set Theory * Metric Spaces * Linear Algebra * Hilbert Spaces * Summaries of Themes * Factorisations * Everything Treated * Treated Spaces * Definitions and Theorems * Other Useful Pages * On Proving Things * Glossary (includes a symbol list) * Non-Mathematical Content * Official Information such as exam dates and time tables * Homework Groups * Scheme of Work * Lecture Notes * External Resources * Comments * Old Exam Papers * Homeworks * Homework 1 * Homework 2 * Homework 3 * Homework 4 * Homework 5 * Homework 6 * Homework 7 * Homework 8 * Homework 9 * Homework 10 * Homework 11 * Homework 12 * Navigation and Information * [Course Website](http://www.math.ntnu.no/~stacey/Teaching/TMA4145h2011) * [Course Forum](http://www.math.ntnu.no/~stacey/Mathforge/MatteSnakk) * Forum Help * Sandbox * iTeX Help * Older material that may still be useful