**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