[throwgeorge]

>abstract algebra is effectively a sort of secret maths techniques

abstract algebra (rings, groups, fields) is taught in absolutely every undergrad math program in the country (in the world?). there's nothing unique to harvard in this aspect.

[sukilot]

Harvard teaches a lot more than the average undergrad program.

A Harvard undergrad degree covers a depth of knowledge that matches a master's degree at an average program.

You can read the definitions of algebra in 1 day. That's not what a class is about.