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.
I retook the course with this professor after getting a D+ in my first attempt of math3B with a different professor and I wish I had him for math3b the first time. exams were fair in terms of difficulty and the professor was great at explaining most concepts and would show us multiple examples which i found helpful.
Amazing professor. I'm taking his Number System and Combinatorics this quarter. The workload is ~4 questions/week/course. One of the most memorable moments was when a HW problem in Combo was a trivial case of an open problem. I emailed him at midnight, said I proved a stronger result. He replied super fast with tons of books and related materials.
Five points might be the upper limit of rate my professor, but definitely not the upper limit of Karel.
he admits himself that he's not an expert on this class and isn't really good at explaining but makes up for it by giving out free homework scores. you only need a 60% on hw to get full credit, but can sometimes be a hassle. exams are pretty computation heavy. dont expect the exams to be a copy past of the practice, theyre not. anythings fair game