This user-friendly introduction to the methods of differential and integral calculus of one real variable, eases the transition from high school to university math. 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 helping readers to understand the critical ideas and developing their manipulative skills, so topics are explained using worked examples and exercises.

An informal and gentle introduction that helps readers to understand the critical ideas as well as develop their manipulative skills Adopts a user-friendly approach, with an emphasis on worked examples and exercises, rather than abstract theory The use of Maple can be integrated into the text to provide an additional aid to teaching and learning Supported by additional exercises, exam questions, and more detailed solutions available via the web Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material

Autorentext

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.

Inhalt
Functions and Graphs.- Limits of Functions.- Differentiation.- Techniques of Differentiation.- Applications of Differentiation.- Maclaurin and Taylor Expansions.- Integration.- Integration by Parts.- Integration by Substitution.- Integration of Rational Functions.- Geometrical Applications of Integration.