The purpose of this book is essentially to provide a sound second year course in mathematics appropriate to studies leading to BSc Engineering degrees. It is a companion volume to "Engineering Mathematics" which is for the first year. This edition includes further topics. The text is based on a series of self-instructional programmes arising from extensive research and rigid evaluation in a variety of relevant courses, and the individualized nature of the development makes the book suitable both for general class use and for personal study. An ELBS/LPBB edition is available.