Applications of Calculus

✍ Scribed by Philip D. Straffin Jr (editor)

• Publisher: The Mathematical Association of America
• Year: 1996
• Tongue: English
• Leaves: 278
• Series: Classroom Resource Materials
• Category: Library

✦ Synopsis

Students see how calculus can explain the structure of a rainbow, guide a robot arm, or analyze the spread of AIDS. Each module starts with a concrete problem and moves on to provide a solution. The discussions are detailed, realistic, and pay careful attention to the process of mathematical modeling. Exercises, solutions, and references are provided.

✦ Table of Contents

Cover
Title Page
Introduction: Resources for Calculus
The Five Volumes of The Resources for Calculus Collection
Acknowledgements
Table of Contents
Preface: Using these Modules
Calculus I: Derivatives
1. Arbitrating Disputes
2. Fitting Lines to Data
3. Somewhere within the Rainbow
4. Three Optimization Problems in Computing
5. Newton's Method and Fractal Patterns
Calculus I: Differential Equations and Integrals
6. How Old is the Earth?
7. Falling Raindrops
8. Measuring Voting Power
9. How to Tune a Radio
10. Volumes and Hypervolumes
Calculus II
11. Reliability and the Cost of Guarantees
12. Queueing Systems
13. Moving a Planar Robot Arm
14. Designer Curves
15. Modeling the AIDS Epidemic
16. Speedy Sorting
Calculus of Several Variables
17. Hydro-Turbine Optimization
18. Portfolio Theory