Change and Motion: Calculus Made Clear, 2nd Edition - Season 1 Episode 19 Mountain Slopes and Tangent Planes
We have seen how to analyze change and dependency according to one varying quantity. But many processes and things in nature vary according to several features. The steepness of a mountain slope is one example. To describe these real-world situations, we must use planes instead of lines to capture the philosophy of the derivative.
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
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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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