[jackmaney]

[nod] Yep, sadly, there are too many "calculus" courses that don't mention epsilon and delta at all (I'm looking at you, Business Calc). Without thinking about epsilon and delta, it's prettymuch impossible to have anything but a vague, fuzzy notion of what a limit is.

In Calc I, I kept my eyes out for two groups of students: those who did really poorly on the first exam, and those who did really well. The first I watched for obvious reasons, but some of the folks in the latter group--especially those who took some calculus in high school--would start to think "Oh, I know all of this now! Cool. Easy A." and then coast. And they'd be mincemeat somewhere in between implicit differentiation and related rates.