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David W. Collins, Jr.
Southwestern Illinois College
Course
First semester calculus
Description
This module helps the introductory calculus student by visually watching the areas of rectangles
approximate the area under the curve, which gets closer to the actual area under the curve as the
number of rectangles chosen gets larger and larger. With the appropriate software, students can edit
the function, the interval, and the number of rectangles and probe the idea fully.
Transferability
This module will transfer to any introductory calculus course or any course utilizing approximation
tools to determine area under a curve. This can also be utilized in a basic programming logic course as
students could interpret the loop structure of the program.
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