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"]
• spaghetticircle-short.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.