This second edition builds on the strengths of the first edition. Many excellent suggestions were received from teachers around the world and these are reflected in the changes. In some cases sections have been consolidated to allow for greater efficiency.

Changes have also been made in response to the introduction of a calculator-free examination paper. A large number of questions, including some to challenge even the best students, have been added. In particular, the final chapter contains over 200 miscellaneous questions, some of which require the use of a graphics calculator. These questions have been included to provide more difficult challenges for students and to give them experience at working with problems that may or may not require the use of a graphics calculator.

The combination of textbook and interactive Student CD will foster the mathematical development of students in a stimulating way. Frequent use of the interactive features on the CD is certain to nurture a much deeper understanding and appreciation of mathematical concepts.

The book contains many problems from the basic to the advanced, to cater for a wide range of student abilities and interests. While some of the exercises are simply designed to build skills, every effort has been made to contextualise problems, so that students can see everyday uses and practical applications of the mathematics they are studying, and appreciate the universality of mathematics.

Emphasis is placed on the gradual development of concepts with appropriate worked examples, but we have also provided extension material for those who wish to go beyond the scope of the syllabus. Some proofs have been included for completeness and interest although they will not be examined.

For students who may not have a good understanding of the necessary background knowledge for this course, we have provided printable pages of information, examples, exercises and answers on the Student CD. To access these pages, simply click on the ‘Background knowledge’ icons when running the CD.