Change and Motion: Calculus Made Clear, 2nd Edition - Season 1 Episode 4 The Fundamental Theorem of Calculus
The moving car scenario illustrates the Fundamental Theorem of Calculus. This states that the derivative and the integral are two sides of the same coin. The insight of calculus, the Fundamental Theorem creates a method for finding a value that would otherwise be hard or impossible to get, even with a computer.
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