That’s disappointing. My math education so far has included the usual calculus and the basics of analysis up to and including multi-variable calculus as well as linear algebra on abstract vector spaces, inner product spaces, and complex vector spaces. Additionally, I’ve delved into combinatorics with enumeration, combinatorial proofs, and generating functions as well as graph theory, abstract algebra including group theory and ring theory, and mathematical logic.

I plan to take Euclidean geometry, real and complex analysis, fields and Galois theory, and eventually measure theory as well as differential geometry and maybe commutative algebra and representation theory.

The problems I’ve studied in all of these courses have been varied, interesting, and highly challenging. Far more entertaining than any problem I encountered in high school. But not all of the material was too complex for a high school student to understand. I could definitely teach a high school class in graph theory and I bet the students would have a lot of fun with it. Despite it being a beautiful and sometimes very abstract field, it can be applied to computer science as well as games and puzzles of all sorts. Yeah, it’s not useful to any of the hard engineering disciplines but it’s far more entertaining than grinding integrals all day.