USC vs Brandeis vs U of Mich ann arbor

<p>I got accepted to liberal arts program for these three and i plan to major in math or philosophy or physics. </p>

<p>How do the undergraduate programs for math, physics and philosophy at USC, brandeis and U of Mich compare? </p>

<p>How much teaching actually done by the professors instead of TAs is especially important to me. I also care about how my peers will be as well. (e.g. how much they study, etc)</p>

<p>Thanks!</p>