Mengxue Yang, Department of Pure Mathematics, University of Waterloo
“Curves”
This talk is about curves. We want to answer the following questions and see some examples along the way. First, the basic ones: what is a parametrized curve; what is its arclength, and why do we use the arclength parametrization? Then we investigate the properties of curves. How do we assign a numerical value to curvature? What is torsion for a space curve? Finally, we will look at the Frenet-Serret equations and see why unit speed space curves are determined by their curvature and torsion.
MC 5403