<p>I think the question here is a bit vague. Being more specific here would help.</p>
<p>It’s also apples and oranges. Engineers will require more practical problem solving while applied math will work much more rigidly.</p>
<p>The most important question here I think is that why would a slight edge matter in a choice between the two? Shouldn’t you be considering your personal preference for each? While related, they are significantly different things in terms of daily work (if I am not mistaken).</p>