A rigorous, applications-focused introduction to the field of Engineering Mathematics. Suitable for a first year course in the subject area, the book presents the key mathematical concepts that engineers will be expected to know. The applications focus allows the student to see the mathematics in action and helps to contextualise what they are actually learning. As such, it is also well suited to maths courses within the physical sciences and applied mathematics. Incorporates many exercises throughout the chapters so students can reinforce their learning.