Today was our last day of talking about only curves as a class. We discussed how integration (like when computing arclength) really is a difficult problem, and we have made up names of functions to describe some integrals that we understand. Names like \(\ln x\), \(\sin x\), and \(e^x\). Many of you ran across “elliptic integrals” and these are similar, but of the next level of complextity.
I still have three exam rewrites that were not turned in. I want those ASAP.
We will start talking about surfaces next time. Please read section 2.1 of Shifrin and sections 2-1 through 2-2 of Struik, and start the exercises in Shifrin section 2.1. You will begin presenting those next meeting.