MATH 151: NOTES FOR CHAPTER 13

ē PLANE CURVES and POLAR COORDINATES

"Did Bernoulli sleep before he found the curves of quickest descent?" - Spider-Man 2

TABLE OF CONTENTS

BIG FILE: Chapter 13 notes (handwritten)

SMALLER FILES (if you canít 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

Review

Chapter 13 Notes: 32 pages

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