Created as an extension of the Chapter Opener applications and general calculus concepts, Calculus Labs are a series of 20 technology lab projects that utilize computer algebra systems. Each lab includes an introduction with background information, observations, a statement of the purpose of the lab, and references for further investigation of the topic of the lab. A variety of open-ended questions that require students to analyze, explore, and compare are an integral part of each lab. Software specific data files, graphs and equations are available for each lab series. The labs are referenced in the text where it seems most appropriate to assign them, however, they are flexible enough to be assigned at the instructor's discretion.
Chapter Application/Location | Lab |
Chapter P - Eruptions of Old Faithful | Lab 1 Modeling Old Faithful's Eruptions |
Chapter 1- Swimming Speed: Taking It to the
Limit | Lab 2 The Limit of Swimming Speed |
Chapter 2 - Gravity: Finding It Experimentally | Lab 3 Falling Objects |
Chapter 2 - Review Exercises | Lab 4 Boyle's Law |
Chapter 3 - Packaging: The Optimal Form | Lab 5 Packaging |
Chapter 4 - The Wankel Rotary Engine and Area | Lab 6 Wankel Rotary Engine |
Chapter 5 - Plastics and Cooling | Lab 7 Newton's Law of Cooling |
Chapter 6 - Constructing an Arch Dam | Lab 8 Constructing an Arch Dam |
Chapter 6 - Section 7 | Lab 9 Stretching a Spring |
Chapter 7 - Making a Mercator Map | Lab 10 Calculus of a Mercator Map |
Chapter 8 - The Koch Snowflake: Infinite Perimeter? | Lab 11 Koch Snowflake |
Chapter 8 - Section 8 | Lab 12 Analyzing a Bouncing Tennis Ball |
Chapter 9 - Exploring New Planets | Lab 13 Comets |
Chapter 10 - Suspension Bridges | Lab 14 Suspension Bridges |
Chapter 11 - Race Car Cornering | Lab 15 Race Car Cornering |
Chapter 11 - Review Exercises | Lab 16 Putting a Shot |
Chapter 12 - Satellite Receiving Dish | Lab 17 Satellite Dishes, Flashlights, and Solar
Energy Collectors |
Chapter 13 - Hyperthermia Treatments for Tumors | Lab 18 Hyperthermia Treatments for Tumors |
Chapter 14 - Mathematical Sculpture | Lab 19 Mathematical Sculptures |
Chapter 15 - | Lab 20 Interacting Populations |
| Some resources
on this page are in PDF format and require Adobe® Acrobat® Reader. You can download the free reader
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The labs are provided in PDF format. Each lab can be printed individually. To view the lab files you will need Adobe Acrobat. Select the computer algebra system you are using.
Trademark acknowledgments: TI and Derive are registered trademarks of Texas Instruments, Inc. Maple is a registered trademark of Waterloo Maple, Inc. Mathematica is a registered trademark of Wolfram Research,
Inc. Mathcad is a registered trademark of MathSoft, Inc.
