18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Partial Fractions, Integration by Parts, Arc Length, and Surface Area

Session 79: Surface Area

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To find the surface area of a curve revolved around an axis, we break the curve into infinitesimal segments ds then sum up the areas of the bands formed by rotating each segment ds about the axis.

Lecture Video and Notes

Video Excerpts

Clip 1: Introduction to Surface Area

Clip 2: Surface Area of a Sphere

Recitation Video

Surface Area of a Torus

Worked Example

Surface Area of a Wine Glass

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos