Animating Convergence
Frank Swenton
Middlebury College
The limit is the pivotal concept at play throughout all of calculus; however, this concept runs serious risk of seeming to be an entirely abstract "black box" operation possessing both computational rules on the one hand and logical definitions on the other, but with little tangible to grasp at its core. In this talk, we'll see the abstract concept of convergence reified through simple animations - providing us a conceptually and logically complete, concrete understanding of this central concept of calculus. We'll apply this picture of convergence to functions, arithmetic, derivatives, integrals, and series to see how the basic definitions of calculus can all be viewed in the same light.
Tuesday, April 17, 2007
3:15 p.m.
Warner 202
Refreshments at 3:00 p.m.
All are welcome to attend!