# Project proposal: Complex numbers

Complex numbers (and quaternions, and \(e^{- \pi i}\))

Numbers are the first thing people think of when they think of math, but complex numbers are where it gets really interesting. There are all sorts of cool applications, and the scope is pretty narrow and easily defined. Why not make them the focus of our first project?

The purpose of this page is to sketch out what a *Complex Numbers* project might look like, so we can evaluate whether it would make a good project.

## Goal of the project

Provide a guide to complex numbers that would be enlightening to Math 1-3 readers.

## Outline

Basic intro—provide quick intuitive definitions for each math level, including an explanation of \(i\)

Complex numbers are necessary to solve quadratic equation

Operations you can do with complex numbers

Polar form

Euler’s formula

Additional concepts

Complex plane (graphic complex numbers)

Fractals

Quaternion

Exercises to test of understanding of each type of number.

Parents:

- Arbital project outline
Project outlines are in-progress proposals for projects.