### Introduction

engineering. Knowledge of mathematics is not much use to an engineer unless it can be applied to engineering problems. After discussing the mathematical modelling process we discuss the use of linear models.

#### Prerequisites

- be competent at algebraic manipulation
- be familiar with linear functions

#### Learning Outcomes

- understand the basics of the modelling process
- use linear functions to model motion under constant acceleration
- analyse motion under gravity

#### Contents

1 Functions and modelling2 Constant functions

3 Linear functions

3.1 Linear models for falling rocks

3.2 Other contexts for linear models

4 Methods for calculating gradient