Hi, I’m a first year math student finishing calculus and proof-based linear algebra this year. I’ll be able to start the Real Analysis sequence at my school in the fall.
Assuming I’d be able to do well regardless of what classes I choose, would it be better to take my school’s Algebra sequence at the same time, or to do Algebra my third year and diversify my coursework a bit with other one-term courses like probability or combinatorics instead? I only plan to take two math courses each term next year.
My idea is that finishing what I understand to be the two major topics covered in undergrad early would set me up better for grad school/research, as well as a better idea of what kind of math I like best. However, I can also see the benefit of taking coursework in more than just two areas.
Any advice is appreciated