Math 415 - Test 2
November 16, 2011
Students name:
To get full credit, show all your work! You have 75 minutes to complete this test.
(1) (a) (5 pts) Dene what it means for a metric space (M, d) to be connected.
(b) (15 pts) Let A and B be connected subse
Math 415 - Test 1
October 7, 2011
Students name: alien
To get full credit, show all your work! You have 50 minutes to complete this test.
1. (20 pts) Let T be the set of all real numbers in the open interval (0, 1), whose base ve
expansion has only 2s and
MATH 415 SYLLABUS
Instructor: Maxim Arap
Course: MATH 415
Oce hours: Monday 10 - 11 am
E-mail: [email protected]
Oce: 311 Krieger Hall
Course description
This is the rst semester of honors real analysis course. The highlights of math 415 are the
followin
Answers to two questions
October 11, 2011
Matt: What is the proof that every subset of a metric space can be written as the intersection
of open sets?
Answer: Let (M, d) be a metric space and let A be any subset of M . Dene
D :=
B1/n (a).
n=1 aA
Note that