18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part C: Parametric Equations and Polar Coordinates

Session 80: Parametric Curves

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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

Clip 1: Parametric Curve

Clip 2: Arclength of Parametric Curves

Recitation Video

Parametric Arc Length

Worked Example

Exploring a Parametric Curve

Lecture Video and Notes

Video Excerpts

Clip 1: Remarks on Notation

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Course Info

As Taught In
Fall 2010
Learning Resource Types
grading Exams with Solutions
notes Lecture Notes
theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations