[alistairSH]

All liberal arts degrees at UVA require 2 writing courses. The first course is required to be taken in your first year. The second is strongly encouraged to be taken in your second year.

That feels roughly analogous to a CS department requiring a "*nix skills" course or similar, as most liberal arts degrees require a substantial amount of writing.

I assume music (and possibly some fine arts) would require some background in those subjects. They often require a portfolio or audition before entering the program.

Do engineering programs expect students to have taken calculus?

Though with music (and possibly engineering), you likely have to prove ability prior to being accepted into the program.