Remember those useless slope fields we got in Calc AB? Turns out they were just special cases of vector fields, which are both awesome and powerful. We took notes on them today, so I've included said notes here as photos. I may type them up or properly scan them at some point, and I'll put them up then. I have also included some notes on triple integration over spherical coordinates for the overachieving reader.
Finally, I'd like to let everyone know that I'm having a pure fruit breakfast this morning, and that the smoothies are pretty okay. They're pineapply, which is good.