Ahhh, but do you expect them to understanding computing as a discipline in general prior to attending?

I will be handing my son a math book when I reach this point in his tender life as well as some of the proceedings from the ACM.

My favorite professor used to say something like this: In the future, all of the simple problems are going to be solved, which will leave you, by the time you graduate, with only the hard ones. If you don't study this (this being using recurrence relations to define recursive functions), will you be prepared?