<p>As of now, one of my chief academic interests is mathematics. I know the University of Chicago has a joint program. I have also heard that it is difficult to qualify for this because one needs to pass into their Honor Real Analysis class upon entrance. My question is what does one need to know in order to do well enough on the placement test to enter this class and moreover, thrive in Analysis.</p>
<p>From information I have been able to gather, it appears that one needs to be very adept at AP Calculus BC topics including limits (with episilon and delta), continuity, integrals (with supremun and Infemum), derivatives, and taylor explansions. Does one need to know the topics of multivariable Calculus such as vectors, partial derivatives, multiple integrals, Green's, Stoke's, Divergence Theorem, etc.? Do we need to know Linear Algebra for Real Analysis? Are Multivariable Calculus and Linear Algebra the prerequisites or necessary skills in Honor Real Analysis, or are they the topic of study in that class?</p>
<p>I am familar with topics of Calculus BC and Multivariable Calculus from my high school and College class. However, I am aware that AP test, which grants 5 to anyone who can score over about 60%, and other college classes may not be comparable to University of Chicago math classes. If I brush on and learn some more advance topics of Calculus, will I have a chance to place into their Honor Real Analysis and do well?</p>