<p>I’m also a rising second-year, and a math major. I’ve taken the first two quarters of analysis, and, unless you have a passion for pure math, you’ll be learning a lot of things that will not be useful to you as a chem major (and overlooking some things that are, including differential equations, Fourier analysis, and applied linear algebra). Also, if you’re looking for a challenge, you will not find it in regular analysis—the off-quarter sequence (starting in the winter) is not as hard as the regular or accelerated sequences that begin in the fall. </p>
<p>Honestly, I would take 200-201-202. 202 is the third quarter of the math for physical sciences sequence—it’s not publicized in the course catalog, but I had a friend who took it this year. It basically expounds on the topics addressed in 200-201 in greater depth, and would probably represent more of the challenge you’re looking for. Check out the description from the 2000-2001 course catalog: [url=<a href=“http://collegecatalog.uchicago.edu/archives/catalog00-01/htm/mathematics.shtml]Mathematics[/url”>Mathematics]Mathematics[/url</a>]</p>
<p>Skimming the course catalog, I estimate that you would have to take 199 (intro. to analysis), 203-205 (analysis), 270 (complex variables), 273 (ODEs), possibly 275 (PDEs, although this might be overkill), and 211 (numerical analysis) in the math department along with STAT 243 (numerical linear algebra) in order to comprehensively address everything found in the 200-201-202 sequence. Obviously, this would entail taking a lot more math than you’re looking for and might even constitute a minor.</p>