Math 447, Fall 2016
Homework Assignment 5
Due at the beginning of class on Friday, October 7th. To get full
credit please explain your solutions clearly and legibly.
Problem 1. Let E be a compact subset of Rn and let F be a closed subset
of Rn . Denote th

Math 447, Fall 2016
Homework Assignment 10
Due at the beginning of class on Friday, November 18th. To get
full credit please explain your solutions clearly and legibly.
Problem 1. 34.2.
Problem 2. Assume that f is continuous and nonnegative on [a, b]. Pro

Math 447, Fall 2016
Homework Assignment 11
Due at the beginning of class on Friday, December 2nd. To get full
credit please explain your solutions clearly and legibly.
x
Problem 1. Let fn (x) = n2 +x
2 on R. Find the pointwise limit. Prove that
the sequen

Math 447, Fall 2016
Homework Assignment 9
Due at the beginning of class on Friday, November 11th. To get
full credit please explain your solutions clearly and legibly.
Problem 1. Assume that f : (0, ) R is twice differentiable, f (x) > 0,
and f 0 (x) < 0

Math 447, Fall 2016
Sample Midterm 2
I post this sample midterm to give you an idea about the format and the
length of the midterm. The problems below are chosen randomly. Midterm
exam problems wont necessarily be similar to the problems below, or they
wo

Sample questions for the first midterm exam, Math 447
At least one of the questions below will appear in the exam. Other questions
will be similar to the problems that appeared in the lecture notes and homework assignments.
1 State completeness axiom and

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Math 447, Fall 2016
Sample Midterm 1
I post this sample midterm to give you an idea about the format and the
length of the midterm. The problems below are chosen randomly. Midterm
exam problems wont necessarily be similar to the problems below, or t