Brief Calculus: The Study of Rates of Change

This is the first post-reform calculus book that emphasizes applications and innovative approaches while preserving the underlying mathematics. Rich and varied, the abundant applications that use real data motivate the mathematics and underscore the importance of mathematical underpinnings. The graphing calculator and applications that use data on the World Wide Web are integrated as optional resources to support mathematical ideas, techniques, and applications. The informal tone and abundance and variety of elementary and moderately difficult problems make this book the ideal choice for math anxious people. Chapter 1 reviews functions and provides a solid foundation for the idea that the average rate of change over an interval is equivalent to the slope of the secant line. Introduction of limits at infinity and infinite limits. Strong introduction of the differential. This book devotes two sections to the difficult concept of optimization. For those working in a non-math field, who need/want to learn calculus.