guest lecture files 2014 Spring MAT1505
by bob jantzen
Stewart Calculus 7e, section 10.4 area and arclength in polar
coordinates
 cardioidcap.mw [more sophisticated Maple
aided discussion, area]
 cardioidcap.pdf [hand calculations done in
class for area]
 spaghetticircle.mw [Maple discussion,
plus crazy math "going off on a tangent"]
 spaghetticircleshort.mw [the short
story for class time, accompanying the hand calculations of the integration
integral

equianglespiralshell.mw]
[Duke
website]
Maple worksheet shows example of integration of area and arclength for a
polar coordinate spiral occurring in Nature. Slope calculation too which
explains the name of the spiral.
section 11.1 on sequences
 sequences.mw how to visualize sequences as
graphs or tables, and compute their limits.
If you like are intellectually motivated by the pursuit of knowledge as
opposed to only doing college as a way to increase your economic standing in the
world, go see the film Particle Fever playing this week in
Bryn Mawr.