I'm a 3rd year theoretical physics student, so I don't really know the maths side. However, in my first two years, I found one physics book particularly useful.
Phillips, Introduction to Quantum Mechanics, (Wiley, manchester physics series) is VERY useful on its topic. It covers QM from the very beginnings through approximately first and second year level topics.
Speaking of which, I've found the Manchester Physics Series to be good on most areas of physics (the books I looked at anyway), particularly Hook and Hall, Solid State Physics, but it does progress rather further than 2nd year.
I haven't actually read them, but lots of people have told me that the Feynmann Lectures in Physics are very good. However, they do cover the subject in a different way to normal, and I don't know if they would be good as a course book rather than a book for interest.
Hope this helps,