## Overview

How to think mathematically, particularily about finite systems

How to write down mathematical arguments

## Some topics

- What does it mean to prove something?
- What does it mean for a mathematical procedure (algorithm) to be efficient?
- $ 168031584 = 2^5 \times 3^7 \times 7^4 $
- Which is easier? Finding the left side given the right?
- Which is easier? Finding the left side given the left?
- Could we also have $2^3 \times 19 \times 15 \times 7321$ ?