Calculus

The activities are organized by topic in the tables below. The first table is a collection of interactive files that were written by members of our department. The second table contains references to copyrighted activities used in our classes. Both tables are organized in the same manner. In the first column, topics are listed. In the second column, the name and a brief description of the activity is given. In the third column, we have made reference to the sections in our textbooks where we have used the activity. Below the table, we list bibliographical information for the books and computer activities referenced.

The topics included in the first table are slope fields, area between two polar graphs and Taylor series. Included in the second table are Reimann sums, volumes, arclengths, and parametrics.

Topic Name and Description of Activity Textbook Reference
Slope Fields

Slope fields
Interactive Sketchpad file

Thomas Section 6.12

Taylor Series

Taylor Series
Sketchpad Demonstration

Thomas Section 8.9
Polar Graph Areas Polar Area
Sketchpad Demonstration
Thomas Section 9.9

Bibliography:

T- Calculus, Thomas, Jr., George B., Finney, Ross L., Weir, Maurice, Addison-Wesley Publishing Co., 1996.

Topic Name and Description of Activity Textbook Reference
Reimann Sums

Reimann Sums
Interactive Sketchpad file

Exploring Calculus CD-ROM, Extra Extra!!! folder

Thomas Section 4.5

Volumes

Volumes by Revolution
Sketchpad Demonstrations

Calculus in Motion

Thomas Sections 5.3,4
  Known Cross Sections
Sketchpad Demonstration

Calculus in Motion

Thomas Section 5.2
Assorted Topics

BC Calculus Topics
Topics include: arclength, parametrics, polar graphs, series, taylor series and quotients

Exploring Calculus CD-ROM, BC_Topics folder

Thomas

Bibliography:

Calculus, Thomas, Jr., George B., Finney, Ross L., Weir, Maurice, Addison-Wesley Publishing Co., 1996.

Calculus in Motion, Audrey Weeks, www.calculusinmotion.com.

Exploring Calculus with The Geometer's Sketchpad, Clements, Cindy, Pantozzi, Ralph, Steketee, Scott, Key Curriculum Press, 2002.