<p>Uh, what? No. The University mathematics curriculum already draws a distinction between the material of “Honors Calculus”, which is the beginnings of proof mechanics and elementary real analysis as tied to the properties of functions with both range and domain in the real numbers, and the material of “Analysis” which, is similar, but deals with the generalizations: metric spaces in general, various types of nice normed linear spaces, measure spaces, and multivariate calculus.</p>
<p>To get into Honors Analysis, a solid reading of the first couple of chapters of Spivak would probably suffice, given a sufficiently strong familiarity with the basic calculus that makes up the previous sections. To stay in is of course another matter. However, to characterize this as in any way analogous to the Analysis that the university teaches in 203, and especially in 207, is patently absurd. </p>
<p>P.S. Of course there are many PhD students in Statistics, Computer Science, Physics who couldn’t do this. Why do they need to? Again, the math taught in the math major at Uchicago is not just “extra special more number crunching”, it is a highly theoretical discipline that often can seem very divorced from the applications.</p>