MATH 420 Lecture Notes - Measure (Mathematics), Riemann Integral, Xm Satellite Radio
Document Summary
This nal exam has 8 questions on 10 pages, for a total of 102 marks. The plea of accident or forgetfulness will not be received. Please read the following points carefully before starting to write: continue on the back of the previous page if you run out of space, this is a closed-book examination. None of the following are allowed: documents, cheat sheets or electronic devices of any kind (including calculators, cell phones, etc. : you may use any theorems discussed in class. Short answers: (a) state carefully: zorn"s lemma. (b) de ne carefully: a function f : r r of bounded variation. Let {fn} be a sequence of measurable r-valued functions on a measure space (x, m, ). We say fn converges to a measurable function f almost uniformly i for all > 0 there is an e m so that (e c) < and lim n sup x e.
