1.
What is difference between a curve and a parameterized path?
Section 1.1 Review of Curves and Parameterizations
This video is a review of several concepts we've seen in multivariable calculus, so read the list below and if you're 100% confident you can skip it. We're going to use curves, parameterizations, and the arclength parameter all over the place in Vector Calculus , so we need to make sure we're very confident with them. Specifically we'll review:
- Curves vs Paths
- Different Parameterizations
- Tangent Vectors and notation
- Arclength and arclength parameter formulas
- Derivatives w.r.t arclength parameter
Post-Video Activities Post-Video Activities
2.
When would you use the arclength parameter \(s\) and when the time parameter \(t\text{?}\)
