<p>[UM</a> Mathematics-Graduate Masters Program](<a href=“http://www.math.lsa.umich.edu/graduate/masters.html]UM”>http://www.math.lsa.umich.edu/graduate/masters.html)</p>
<p>Applied math is under there. I haven’t taken 452, but I’ve heard it’s MUCH harder than 451 which is not easy on it’s own. A number of courses do overlap with IOE (561, 562, 660, 663) so I suppose you can make a Masters in applied math look like a Masters in IOE + 1 analysis class and 1 combinatorics class, but if you want to make it’s own distinct degree, without any IOE courses, most of those classes are pretty difficult.</p>
<p>None of the 400-level IOE courses have the same level of math as 400-level Math courses. IOE is a distinct field from applied math. There might be some overlap but they’re not basically the same thing if that’s what you’re thinking.</p>
<p>And that’s not to say you can’t do applied math masters after undergrad+masters in IOE, but it’s more sensible to do undergrad in math followed by masters in IOE and math.</p>