This course provides a broad introduction to the fundamental mathematical tools used by engineers. These include mathematical techniques such as single variable differentiation/integration and mathematical objects such as vectors, complex numbers and differential equations. The course builds on the foundations laid in secondary school mathematics and in turn helps to prepare students for more advanced mathematics in later study, and to give students the skills needed to understand the application of mathematics to engineering in real time. Topic areas include vectors, complex numbers, differentiation with applications, functions and their derivatives, methods of integration and their application, differential equations.