This is a user-friendly introduction to the methods of differential and integral calculus of one real variable. The key feature of this book is the care that has been taken to ease the transition from school to university maths. It presents new ideas in the context of existing mathematical experience, building on students A-level knowledge and extending it to the level encountered in first year degree courses in mathematics and the physical sciences. The emphasis is on both helping readers to understand the critical ideas, and developing their manipulative skills, so topics are explained using worked examples and exercises. Many of the explanations are based on geometry through studying graphs. The plotting capabilities of Maple are used to enhance understanding, although the book is written in such a way that the use of Maple is not essential, just an additional – and fun – aid to learning. Supplementary material, including further exercises, more detailed solutions to the exercises, and exam questions, will also be available via the web. Suitable for first year undergraduates in the mathematical sciences, and for courses such as engineering, where methods are important.

Author Biography

Keith Hirst is an experienced author and lecturer, with many years’ experience teaching undergraduate courses. His research interests include Mathematics Education and Teaching Methods in Higher Education, with particular emphasis on the school / university interface. Keith also researched the area of learning problems in calculus as part of an investigation into undergraduates’ conceptions of mathematical ideas. In 2000, he was awarded one of the first prestigious National Teaching Fellowships by the Institute of Learning and Teaching, to develop a database of undergraduate teaching resources.

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