What does a student really need to know to prepare for calculus? This question has motivated the writing of this text.To be prepared to study calculus a student needs not only technical skills, but also a clear understanding of concepts in other words, a proper appreciation for what mathematics is all about. We believe that nearly all instructors are committed to the goal of transmitting conceptual understanding. This book was written to provide such instructors and their students with the tools needed to achieve this goal.The calculus reform movement has obvious implications for the teaching of pre -calculus. Indeed, the goals of this movement (the primary goal is a focus on conceptual understanding) are best served by implementing its strategies in the precalculus curriculum. In practical implementations of the goals of reform, instructors are using many different approaches. Some use technology to help students become active learners; others use the rule of four, "topics should be presented geometrically, numerically, algebraically, and verbally, " as well as an expanded emphasis on applications to promote conceptual reasoning; still others use group learning or writing exercises as a way of encouraging students to explore their own understanding of a given concept. In this book we have used all these methods of presenting precalculus mathematics as enhancements to a central core of fundamental skills. These methods are tools to be utilized by instructors and their students to chart their own course of action towards the goal of conceptual understanding.
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In this highly successful text (formerly Mathematics for Calculus), all ideas are explained simply and clearly, without glossing over difficult points. This comprehensive, evenly-paced book provides complete coverage of the function concept, and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. This author team gives the same attention to detail and clarity as Jim Stewart does to his renowned Calculus series text.
"I have never had a complaint about this text, either from students or faculty. That says quite a bit around here. It has the opportunity to use technology, but also to skip it. This is important at many schools . . . that are not quite ready to 'take the plunge.' "
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