MATH 411 Midterm: MATH411 BOYLE-M SPRING2012 0101 MID EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 411
• Professor: All

Document Summary

Math 411 spring 2012 boyle exam 1 (10 points) a metric space is a set x together with a real-valued. Draw a picture of the set {x r2 : d(x, 0) = 1}, where 0 denotes the origin. (15 points) consider the following conditions on a function f from. Prove that the image set f (k) is a sequentially compact subset of y . (10 points) let s be the set of (x, y) in r2 such that at least one. 6. of x and y is a rational number. Draw a path in s from (1, 2) to (4, 3 2), or prove no such path exists. On the other side of this paper: (30 points) for each of the following, answer true or false. If {un : n = 1, 2, . is a collection of open sets, then their inter- a. section u1 u2 u3 . is an open set. b.