We actually still teach a fairly 'traditional' calculus at our shop: mostly algebraic. Too much graphics/intuition at the expense of algebra skills leaves students underprepared for differential equations and the like.
Right. Of course I was speaking of senior and graduate level, real variables, complex variables. Freshmen can be memorizing some trig while they are there, sin pi/2, double angle formulas, it makes things a lot easier and quicker later.