<p>Which school would you recommend? Tuition, room, board, et cetera are not an issue.</p>
<p>Also, career prospect-wise: what are the differences between applied and pure mathematics?</p>
<p>Berkeley’s career survey might give hints about applied math vs. math:</p>
<p><a href=“https://career.berkeley.edu/Major/Major.stm[/url]”>https://career.berkeley.edu/Major/Major.stm</a></p>
<p>But a pure math major should have enough schedule space to take some applied courses as well. The 5 (or fewer if you have AP or other math credit going in) lower division courses are the same. Each requires 8 upper division courses, but 4-5 of them are the same for both. So you could take 8 upper division pure math courses + 3-4 in some field of application (statistics, computer science, economics/finance, etc.) for applied math and still have schedule space left over for additional math courses or any other courses (a typical student takes 4 courses per semester, or about 32 courses over 8 semesters; as math courses tend not to have labs, they tend to be less time consuming that some other courses, although they may require more intellectual concentration).</p>
<p>Of course, you’ll have less free schedule space if you double major with physics.</p>