Grad School

Good day, /sci/. Judging by the people who frequent here, I think this is as good a place as any to ask.

How difficult is it to get into grad school? I want to study mathematics, preferably at Purdue. To that end, I'm double majoring (math and stats) and have decent grades (3.8). I'm also involved in extra-curricular activities.

What, if anything, am I missing? I'm currently a 3rd year student, so I have time to implement recommendations if you have any.

>>1
take as many math classes as you can.

the problem with double major's is that people just get the minimum they need to complete each degree.

assuming you're applying to a pure math ph.d program, try to cover the following subjects:
Real Analysis (2 classes preferably)
Algebra (2 classes preferably)
Number Theory
Complex Analysis
Differential Equations (at least ODE's)
Differential Geometry
Topology
Linear Algebra (not just the one that all the comp sci people take)

Extra:
Graph Theory
Classical Geometry
Combinatorics
Discrete Math
Probability
Dynamical Systems
Numerical Analysis
Various Applied Math

If you're hardcore:
Graduate Algebra sequences
Graduate Analysis sequence

If you'd rather not sleep:
Graduate Manifolds sequence

you've got great grades, and as long as you have good recommendations and test scores you'll get into some great schools. as for things you can do right now... apply to an REU for the summer, the deadline should be coming up soon. REU's are programs sponsored by NSF to get undergrads together to do some small research project, good experience and they pay you.

also why purdue? some faculty member you want to work with specifically?