<p>applied math and pure math at cal are very similar. you have to take almost all the same classes–have a look at <a href=“http://math.berkeley.edu/undergraduate_major_requirements.html[/url]”>http://math.berkeley.edu/undergraduate_major_requirements.html</a> and you’ll see that both applied math and pure math have the same core requirements, differing only in electives.</p>
<p>as for engineering vs. math, I’m going to echo blobof in saying that it really depends on your strengths and weaknesses because math and engineering are really different once you get into the more advanced stuff. In upper div engineering you learn about how to make something or apply a concept you learned in math or science class, often using lots of approximations and non-rigorous derivations. In contrast, in upper div math you’re really concerned about rigor and proofs–it’s much more abstract. Granted, there are some math-y engineering classes (ME 185 comes to mind), but by and large advanced engineering classes are very different in nature from advanced math classes. </p>
<p>i don’t know much about statistics.</p>