Jan 23, 2015: Parameterized Curves 2

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We made some more progress today on parameterized curves.

Jesse M finished his work on Shifrin 1.1.5. Emily did Shifrin 1.1.2, and Corbyn did Shifrin 1.1.7.

This involved a few discussions about what is really going on with reparameterizing a curve by arclength.

Some Resources

A previous time I taught this course, I wrote up some things I talked about with students. Maybe these things can help you.

• A post about why we parametrize curves
• A post about arclength parametrization
• A post about regularity for curves

Oh, and here is an example of a SageMathCloud worksheet with a simple plot in it.

https://cloud.sagemath.com/#projects/11ed9678-c34a-4d1c-a109-1e3b5e81c909/files/emily.sagews

For Monday, January 26:

• Do Shifrin 1.1 # 6, 8-10
• Do Task 2
• Reread the previous material on the basics of parametrized curves.