Eigenvalues, eigenvectors, and diagonalization. Canonical form under similarity: Jordan canonical form and rational canonical form, inner product and norm. Gram-Schmidt process, adjoint of a linear operator, normal and self-adjoint operators, unitary and orthogonal operators, spectral theorem.
1 - 5
UnitsPass no pass
Grading1, 2, 3
PasstimeNone
Level LimitCreative studies
CollegeYou can learn a lot in professor Casteels' class, but he does not trick you in homework or exams. So you can learn a lot, and still get good grades.
Reasonable tests and homework. Easy, but not so easy it feels pointless. Very straightforward and clear lectures. Wants his students to learn. Lots of help during office hours. Definitely take him, you will learn a lot without much stress.
This prof would constantly forget to post important things on canvas which can be really annoying when you're trying really hard to get a good grade in the class. Homework is really hard and it just doesn't seem like he gaf. Somewhat funny but makes everything more complicated than they need to be
He's the one
He is GOAT
The game theory class taken with Karel is really fun, the concepts are explained in a way that's easier to understand, and he's also accessible during office hour (a lot of OH). Though sometimes he would forget to post some important stuff (like homework on gradescope, or lecture notes he promised), but the class is really good.