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

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» Clip 1: Parametric Curve (00:04:00)

» Accompanying Notes (PDF)

From Lecture 31 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Arclength of Parametric Curves (00:05:00)

» Accompanying Notes (PDF)

From Lecture 32 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Parametric Arc Length

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Worked Example

 

Exploring a Parametric Curve

Lecture Video and Notes

Video Excerpts

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» Clip 1: Remarks on Notation (00:05:00)

» Accompanying Notes (PDF)

From Lecture 32 of 18.01 Single Variable Calculus, Fall 2006

 

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