A Guidebook to Calculus with Mathematica

Designed to enhance a traditional calculus curriculum, this text offers guidance in utilizing Mathematica to explore calculus concepts. Focusing on the process of mathematics rather than on finding single right answers, this book involves students in actively observing and analyzing mathematical principles using Mathematica to handle the manipulative work. With this text, students should learn to utilize Mathematica - particularly its numerical, symbolic, and graphing capabilities - to discover for themselves why mathematical principles work as they do, building stronger conceptual understanding in the process. The topics addressed involve sophisticated mathematics but also produce pictorial results, engaging students in the ideas and increasing their ability to view them geometrically. The activities should also develop students’ sophistication in choosing and employing technology effectively.