<p>@happyentropy: Well noted. Thank you.</p>
<p>@OP: Maybe someone here can give you a better list than me, but a very good book to check out would be Krantz’s Mathematician’s Survival Guide. I know he does list 7 or so subject areas. Additionally, it’s a very readable and has a pretty comprehensive guide to admissions.</p>
<p>That said, if you’re doing a taught masters try to pick up at least a year of grad algebra and real analysis. Looking at Harvard’s qual syllabus–I guess they’ve just got one monolithic test–I see four other areas that you should focus on. You should probably soak up as much of these as possible at the grad level.</p>
<p>I’m going to double-tap happyentropy’s question. Also, for the classes you’re taking, are these at the graduate level? Is your undergrad degree in math? Are you presently at a decent uni?</p>