<p>Out of the list that you gave, only partial differential equations is the course that would give the most “applied” problems. Still, unless the course description and/or the course title and/or the professor puts an applied slant on the course…then you have to assume that there will be theory in the course. Usually a combined “Probability & Statistics” course will give the applied slant of both areas. Most of the time, separate Probability (you actually said Theory of Probability) and Mathematical Statistics courses will involve a great deal of theory in those two areas.</p>
<p>Many schools have separate Numerical Methods and Numerical Analysis courses where Numerical Analysis will be more into theory and the study of error and Numerical Methods will go more into the actual computational methods and less on theory and error.</p>
<p>Combinatorics can also be tricky. I know that at one of the U-Maryland schools in the area, there is a Combinatorics course in the math department and an Applied Combinatorics course in the CS department and the two courses are not cross-listed.</p>
<p>Some schools even have applied math courses in either their own department and/or its own course-numbers (like AMATH or AMTH or AMS for applied math & statistics).</p>
<p>Check with the department to confirm.</p>