Change and Motion: Calculus Made Clear, 2nd Edition

<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>

• 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
• 24: Calculus Everywhere