This self-help workbook covers mathematics essential to first-year undergraduate scientists and engineers. The second edition of this highly successful textbook has been completely revised and there is a totally new chapter on vectors. Mathematics underpins all science and engineering degrees, and this may cause problems for students whose understanding of the subject is weak. In this book Jenny Olive uses her extensive experience of teaching and helping students by giving a clear and confident presentation of the core mathematics needed by students starting science or engineering courses.