TO THE INSTRUCTOR I hear, I forget. I see, I remember. I do, I understand. Anonymous OBJECTIVES OF WORKSHOP CALCULUS 1. Impel students to be active learners. 2. Help students to develop confidence about their ability to think about and do mathematics. 3. Encourage students to read, write, and discuss mathematical ideas. 4. Enhance students’ understanding of the fundamental concepts under- ing the calculus. 5. Prepare students to use calculus in other disciplines. 6. Inspire students to continue their study of mathematics. 7. Provide an environment where students enjoy learning and doing ma- ematics. xi xii To the Instructor THE WORKSHOP APPROACH Workshop Calculus with Graphing Calculators: Guided Exploration with Review provides students with a gateway into the study of calculus. The two-volume series integrates a review of basic precalculus ideas with the study of c- cepts traditionally encountered in beginning calculus: functions, limits, – rivatives, integrals, and an introduction to integration techniques and d- ferential equations. It seeks to help students develop the confidence, understanding, and skills necessary for using calculus in the natural and – cial sciences, and for continuing their study of mathematics.

This project is based on the use of graphing calculators by students enrolled in calculus. There is enough material in the book to cover precalculus review, as well as first year single variable calculus topics. Intended for use in workshop-centered calculus courses. Developed as part of the well-known NSF-sponsored project, Workshop Mathematics, the text is intended for use with students in a math laboratory, instead of a traditional lecture course. There are student-oriented activities, experiments and graphing calculator exercises found throughout the text. The authors are well-known teachers and innovative thinkers about ways to improve undergraduate mathematics teaching.