More than anything, I think the overarching point of graduate school is to really hammer home the reasons and justifications for all the functional knowledge you’ve accumulated to that point. One of many examples: in the ongoing work towards my thesis proposal, I’ve been reading up eigensystems, and discovered why matrix diagonalization is more or less synonymous with finding the eigenvalues and eigenvectors of a matrix.
It was kind of a mini-epiphany. I’ve known about matrix diagonalization since I was 18 and a freshman at Georgia Tech, but I never really understood it in this context.
Remarkable. Also, oh God my proposal needs to be ready by the end of this week, aaaaaaaaahhh.