MATH 320 Midterm: MATH 320 2016 Winter Test 1
Document Summary
This test has 8 questions on 10 pages, for a total of 100 points. 102: continue on the back of the previous page if you run out of space, with clear indication on the original page that your solution is continued elsewhere, this is a closed-book examination. No aids of any kind are allowed, including: docu- ments, cheat sheets, electronic devices of any kind (including calculators, phones, etc. ) Student conduct during examinations: each examination candidate must be prepared to produce, upon the request of the invigilator or examiner, his or her ubccard for identi- Let (x, dx), (y, dy ) and (z, dz) be metric spaces. Assume f : x y and g : y z are uniformly continuous. Prove that g f is also uniformly continuous. Prove that f has no largest element, i. e. there is no x f such that y x for all y f .
