Math 415 - Test 2
November 16, 2011
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
This is the rst semester of honors real analysis course. The highlights of math 415 are the
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