quiz asking to find an expression for \(\sin(4\theta)\) where I gave them Pascal's triangle.
We talked briefly about how to study for these quizzes. I talked about how some students can comfortable get the "homework" done but still struggle on the quizzes because I always make changes. I said that if there's something I could change that makes the problem impossible (from the student's perspective) then that likely means they don't have a full grasp on the concept.
I asked them to write down a complex function and evaluate it for 1, i, and 1+i
We plotted the complex conjugate function as a vector field and realized that 0.1 z* is a better one to visualize.
We talked about the fundamental definition of derivatives: