Calculus With Applications

This book is for the one-term calculus course taken by students in business, economics, management, and the social, biological and environmental sciences. A prerequisite of intermediate algebra is assumed. In courses where college algebra is the prerequisite, much of Chapter 1 may be omitted. For students that need additional work in algebra, an algebra review is provided in Appendix A. Since the students who use this book aspire to become users of mathematics rather than makers of mathematics, the text includes few mathematical proofs. The author introduces a deducible statement through a concrete situation that either illustrates the statement or involves steps that parallel those in a general proof. Concepts are motivated through examples of particular interest to the student, rather than examples whose attraction is primarily mathematical. The focus is on problem solving, and the author has taken great care in writing the exercise sets so the student can practice these skills. Exercise sets include problems that ask the student to discuss, write, explore, and use technology. Many sections include graphing calculator problems, and a few of these sections contain subsections that serve as a basis for the problems. These problems are clearly identified with an icon. In addition, Calculus with Applications integrates nine basic computer programs. The sections where these programs appear also include problems that take advantage of the computer. This material may be omitted without disturbing the continuity of the text.