Part A: Definition of the Definite Integral and First Fundamental Theorem

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

Clip 1: Introduction to Riemann Sums

Worked Example

Riemann Sum Practice

Recitation Video

Riemann Sum

Lecture Video and Notes

Video Excerpts

Clip 1: Example: Cumulative Debts

Recitation Video

Computing the Volume of a Paraboloid

Diffusion of a Chemical

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Course Info

Learning Resource Types

grading Exams with Solutions
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theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations