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 $C([0,1],\mathbb{C})$?