MATH 151: NOTES FOR CHAPTER 13
• PLANE CURVES and POLAR COORDINATES
"Did Bernoulli sleep before he found the curves of quickest
descent?" - Spider-Man 2
BIG FILE: Chapter 13 notes (handwritten)
SMALLER FILES (if you can’t get the big file):
Section 13.1: Plane
Curves
Applet for graphing parametric curves in the
plane:
http://www.math.ucla.edu/~ronmiech/Java_Applets/index.html
(Click on "Graphing Parametric Curves.")
You need to indicate multiplication with a
"*" symbol. Don't just type in 2t, for example.
Section 13.2: Plane
Curves and Calculus
Section 13.3: Polar
Coordinates (see Math 141, Chapter 10)
Applet for graphing polar curves in the plane:
http://www.math.ucla.edu/~ronmiech/Java_Applets/index.html
(Click on "Graphing Polar Curves.")
You need to indicate multiplication with a
"*" symbol. Don't just type in 2t, for example.
Section 13.4:
Integration in Polar Coordinates
Two Animations by Professor Lou Talman,
Metropolitan State College of Denver
Area in Polar Coordinates:
http://math.bu.edu/people/paul/225/SimplePolarArea.mov
Area Between Two Polar Curves:
http://math.bu.edu/people/paul/225/StandardPolarArea.mov
Chapter 13 Notes: 32 pages