This major text covers the mathematics required in the first year of a degree or diploma course in engineering. The basic aims are to help students pass their examinations and to provide the sound foundations from which the mathematically- inclined engineer can build. In each chapter the learning objectives are listed and the mathematical material introduced and amplified through the liberal use of worked examples. Practice sessions are then provided in the form of working steps, during which the reader is invited to participate and respond. The steps are organized in such a way that able readers can move ahead speedily whereas students experiencing difficulties are given a helping hand. Towards the end of each chapter is a practical section, where a physical or engineering problem which uses some of the mathematics is solved. Finally, each chapter is summarized, and a tutorial sheet with hints and solutions provided. Further exercises are also supplied for extra practice. This book should be of interest to degree and diploma students on introductory mathematics courses in engineering and physics.