The aim of this book is to provide all the support needed for a course in advanced level mathematics. The book covers the pure mathematics, mechanics and statistics that are included in the syllabus for single subject mathematics at advanced level. It is assumed that the principles of the subject have been taught and the book aims to provide the extra material needed such as course notes, examples, exercises, examination questions and answers which are graded in each of the syllabus topics and combination of topics. Candidates for advanced supplementary level will be able to select those topics and questions which are relevant for their examination. At the end of each chapter, there is a list of common errors in each topic and several questions taken from recent examination papers of the examination boards.