Jeez, I'm technically 1st year as far as actual major courses go, and I'm trying to take a VLSI class online right now from Coursera. There was a lot I didn't understand at first, with boolean algebra (and I'm still very slow at it), but it sounds like if I can get the hang of things, I'll be giving myself quite the head start.
I guess VLSI is the "end game," for those of us that want to go into it... kind of obvious to me now that knowing how to do VLSI layout in CAD is the last step in actually being in VLSI. Silly realization... but I've just taken so long to get anywhere in school, that I've felt so far away from actually having the know-how to be employable. But really, if I stick with this course, learn the background material necessary, and am able to start designing circuits in CAD or whatever... well, I'm basically at the finish line, and just need to go back and jump through the rest of the hoops I've skipped.