Change and Motion: Calculus Made Clear, 2nd Edition - Season 1 Episode 11 Abstracting the Integral-Pyramids and Dams
Archimedes devised an ingenious method that foreshadowed the idea of the integral in that it involved slicing a sphere into thin sections. Integrals provide effective techniques for computing volumes of solids and areas of surfaces. The image of an onion is useful in investigating how a solid ball can be viewed as layers of surfaces.
First Air Date: Jan 01, 2001
Last Air date: Jun 11, 2001
Season: 1 Season
Episode: 24 Episode
Runtime: 26 minutes
IMDb: 0.00/10 by 0.00 users
Popularity: 0.5783
Language: English
Keyword :
Season
Season 1
Episode
Two Ideas, Vast Implications
Stop Sign Crime-The First Idea of Calculus-The Derivative
Another Car, Another Crime-The Second Idea of Calculus-The Integral
The Fundamental Theorem of Calculus
Visualizing the Derivative-Slopes
Derivatives the Easy Way-Symbol Pushing
Abstracting the Derivative-Circles and Belts
Circles, Pyramids, Cones, and Spheres
Archimedes and the Tractrix
The Integral and the Fundamental Theorem
Abstracting the Integral-Pyramids and Dams
Buffon's Needle or ? from Breadsticks
Achilles, Tortoises, Limits, and Continuity
Calculators and Approximations
The Best of All Possible Worlds-Optimization
The Best of All Possible Worlds-Optimization
Galileo, Newton, and Baseball
Getting off the Line-Motion in Space
Mountain Slopes and Tangent Planes
Several Variables-Volumes Galore
The Fundamental Theorem Extended
Fields of Arrows-Differential Equations
Owls, Rats, Waves, and Guitars
Calculus Everywhere
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