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Session 80: Parametric Curves

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Overview

To study curves which aren’t graphs of functions we may parametrize them, identifying a point (x(t), y(t)) that traces a curved path as the value of t changes. We can then use our technique for computing arclength, differential notation, and the chain rule to calculate the length of the parametrized curve over the range of t.

Lecture Video and Notes

Video Excerpts

Recitation Video

Parametric Arc Length

Worked Example

Exploring a Parametric Curve

Lecture Video and Notes

Video Excerpts

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Course Features

grading Exams - Solutions
grading Exams - Solutions
laptop_windows Interactive simulations - Applet
laptop_windows Interactive simulations - Applet