### Introduction

The area of mathematics known as vector calculus is used to model mathematically a vast range of engineering phenomena including electrostatics, electromagnetic fields, air flow around aircraft and heat flow in nuclear reactors. In this Section we introduce briefly the differential calculus of vectors.

#### Prerequisites

• have a knowledge of vectors, in Cartesian form
• be able to calculate the scalar and vector products of two vectors
• be able to differentiate and integrate scalar functions

#### Learning Outcomes

• differentiate vectors