Session 46: Riemann Sums

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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

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» Clip 1: Introduction to Riemann Sums (00:05:00)

» Accompanying Notes (PDF)

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

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» Clip 1: Example: Cumulative Debts (00:07:00)

» Accompanying Notes (PDF)

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

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