[pt. 1-2.] disc 1-2. Two ideas, vast implications ; Stop sign crime : the first idea of calculus ; Another car, another crime : the second idea of calculus ; The fundamental theorem of calculus ; Visualizing the derivative ; Abstracting the derivative: circles, squares and belts ; Derivatives the easy way ; Galileo, Newton, and baseball ; The best of all possible worlds- optimization ; Circles, Pyramids, cones, and spheres ; Archimedes and onions ; The integral: a process of summing
[pt. 3-4] disc 3-4. Abstracting the integral: areas, volumes, and dams ; The fundamental theorem at work ; Buffon's needle : pi from breadsticks ; Zeno's arrow: the concept of limit ; Real numbers and predictability of continuous ; Zeno, calculators, and infinite series ; Mountain slopes and tangent planes ; Getting off the line : motion in space ; Physics, music, and the planets ; Business and economics: getting rich and going broke ; Palpitations, population, perch, and pachyderms ; Calculus everywhere
