Hi everyone.
I'm a 2nd year undergraduate at the University of Sydney intending to complete a Bachelor of Economics (Honours) with majors in Economics and Mathematics. I have recently been accepted into a semester of exchange at the University of Toronto, and I am keen to go, however it looks like I may have to choose between going on exchange and taking Real Analysis. My plan was to take the following courses in 2012:
Semester 1: MAT377 - Introduction to Real Analysis, at Toronto
Semester 2: MATH3966 - Measure Theory and Fourier Analysis, at Sydney
However I have been told that I am on the wait-list for MAT377, so I may not get a place. If I miss out on MAT377 I will self-study the course so that I can take MATH3966 when I return to Sydney. Will not having real analysis on my transcript reduce my chance of getting into a top 20 school, even if I have measure theory? If so, should I decide not to go on exchange so that I can take a real analysis course in Sydney?
Thanks!