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loginThis book is partly based on lectures I gave at NUI Galway andTrinity College Dublin between 1998 and 2000. It is by no means acomprehensive guide to all the mathematics an engineer might en-counter during the course of his or her degree. The aim is more tohighlight and explain some areas commonly found difficult, suchas calculus, and to ease the transition from school level to uni-versity level mathematics, where sometimes the subject matter issimilar, but the emphasis is usually different. The early sectionson functions and single variable calculus are in this spirit. Thelater sections on multivariate calculus, differential equations andcomplex functions are more typically found on a first or secondyear undergraduate course, depending upon the university. Thenecessary linear algebra for multivariate calculus is also outlined.More advanced topics which have been omitted, but which you willcertainly come across, are partial differential equations, Fouriertransforms and Laplace transforms.