Workshop Calculus with Graphing Calculators

1. Front Matter

   Pages i-xxvi

   PDF

2. Functions

   1. Front Matter

      Pages 3-4

      PDF

   2. Modeling Situations

      1. Relating Position and Time

         Pages 5-6

      2. Describing a Process for Finding the Position at a Given Time

         Pages 7-8

      3. Using the Concept of Function to Buy Pizza

         Pages 8-12

   3. Analyzing Linear Functions

      1. Creating Linear Functions

         Pages 12-17

      2. Examining Piecewise-Linear Functions

         Pages 17-30

   4. Analyzing Smooth Curves

      1. Developing an Intuitive Understanding of a Tangent Line to a Curve

         Pages 31-39

      2. Investigating the Behavior of the Tangent Line near a Turning Point

         Pages 39-43

      3. Contemplating Concavity

         Pages 43-50

      4. Interpreting Sign Charts

         Pages 50-62

3. Function Construction

   1. Front Matter

      Pages 63-65

      PDF

   2. Representing Functions

      1. Becoming Familiar with Your Calculator

         Pages 66-68

      2. Implementing Functions Using Expressions

         Pages 68-75

      3. Representing Functions by Graphs

         Pages 75-79

      4. Constructing Discrete Functions

         Pages 79-89

   3. Combining Functions

      1. Evaluating Combinations of Functions

         Pages 91-94

      2. Combining Functions

         Pages 94-102

      3. Composing Functions

         Pages 102-109

   4. Reflecting Functions

      1. Sketching Reflections

         Pages 110-114

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.

• calculus
• derivative
• differential equation
• integral
• integration
• logarithm

• Dickinson College, USA

  Nancy Baxter Hastings

• Cardinal Stritch University, USA

  Barbara E. Reynolds

Policies and ethics