Which is more comprehensive: Ross or a college number theory course?

I currently have a choice to make between attending the Ross program and taking math courses at a local university (UMD College Park). If I choose UMD, I will likely be taking Introduction to Number Theory, which covers “integers, divisibility, prime numbers, unique factorization, congruences, quadratic reciprocity, Diophantine equations and arithmetic functions.” In addition to this, I might take multivariable calculus. Considering that they cover much of the same content, which of these options would be more valuable to my math education?

As a follow-up, which one (if either) would look more impressive on a college application? Yes, yes, I know this shouldn’t influence my decision too much, but there’s no denying that it’s a consideration.

If you’re talking about the Ross Program at Ohio State, do that. You can take number theory when you get to college.

Ross will be much more of a ‘fun’ setting than the math course — you may want to consider that in making your decision. Because Ross is a residential summer program, you’ll get to meet and interact with other kids more so than at UMD (IMO). If you prefer hanging around kids your age (who also love math), then Ross can provide that opportunity; but if you enjoy spending time with undergrads/grad students (adults, basically), then UMD would be a better option.

Although there isn’t a right or wrong here, I’d go with the Ross program — it’s well-known to be a wonderful experience for everyone!