<p>This year, Ryzhik made the completion of the reals a prerequisite for the class. So you might want to look into that a bit. We also had a bit of a different pace from last year’s class, covering all of measure theory in the first half of the class (up through Radon measures and Fubini-Tonelli) and then moved on to contraction mappings/topology/etc. in Kolmogorov/Fomin. The preparation you’ll need will depend upon your instructor.</p>