Overview
-
<p>Conquer calculus-one of the most powerful and useful of all mathematical skills-with this simple and brilliant guide taught by an award-winning mathematician.</p>
Topics Covered:- By This Professor
- 01: Two Ideas, Vast Implications
- 02: Stop Sign Crime-The First Idea of Calculus-The Derivative
- 03: Another Car, Another Crime-The Second Idea of Calculus-The Integral
- 04: The Fundamental Theorem of Calculus
- 05: Visualizing the Derivative-Slopes
- 06: Derivatives the Easy Way-Symbol Pushing
- 07: Abstracting the Derivative-Circles and Belts
- 08: Circles, Pyramids, Cones, and Spheres
- 09: Archimedes and the Tractrix
- 10: The Integral and the Fundamental Theorem
- 11: Abstracting the Integral-Pyramids and Dams
- 12: Buffon's Needle or ? from Breadsticks
- 13: Achilles, Tortoises, Limits, and Continuity
- 14: Calculators and Approximations
- 15: The Best of All Possible Worlds-Optimization
- 16: Economics and Architecture
- 17: Galileo, Newton, and Baseball
- 18: Getting off the Line-Motion in Space
- 19: Mountain Slopes and Tangent Planes
- 20: Several Variables-Volumes Galore
- 21: The Fundamental Theorem Extended
- 22: Fields of Arrows-Differential Equations
- 23: Owls, Rats, Waves, and Guitars
