Chelmsford Public Library

Change and motion, calculus made clear, producer, Alisha Reay ; directors, Jon Leven, Jim Allen

eng

Includes bibliographical references (pages 141-144 of guidebook)

videorecording

Change and motion

83982346

producer, Alisha Reay ; directors, Jon Leven, Jim Allen

720

Great courses. Science & Mathematics

calculus made clear

Professor Michael Starbird of the University of Texas at Austin, covers the concepts of Calculus

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 breadstickspart 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

general

live action

Calculus made clear