Overview
When we found the area under the graph of y=x^2 we used a Riemann sum. These sums of rectangle areas can easily be translated into integrals by allowing the rectangles to become infinitesimally thin.
Lecture Video and Notes
Video Excerpts
» Clip 1: Introduction to Riemann Sums (00:05:00)
From Lecture 18 of 18.01 Single Variable Calculus, Fall 2006
Worked Example
Riemann Sum Practice
Recitation Video
Riemann Sum
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Lecture Video and Notes
Video Excerpts
» Clip 1: Example: Cumulative Debts (00:07:00)
From Lecture 18 of 18.01 Single Variable Calculus, Fall 2006
Recitation Video
Computing the Volume of a Paraboloid
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Diffusion of a Chemical
> Download from iTunes U (MP4 - 27MB)
> Download from Internet Archive (MP4 - 27MB)