Change and motion: calculus made clear

part I. disc 1. 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

part I. disc. 2. 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 [pi] from breadsticks.

part II. disc 3. Achilles, tortoises, limits, and continuity

Calculators and approximations

The best of all possible worlds: optimization

Economics and architecture

Galileo, Newton, and baseball

Getting off the line: motion in space. part II. disc 4. 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.