M351 Real Analysis
Dr. Leary
Cianna Duringer
Polished Problem #4.4.4 Revision 1
Q: Give an example of a sequence of open sets G1, G2, G3, whose intersection is
neither open nor closed. Why does this not contradict Theorem 4.17?
A:
Let Sn = (0, 1+1/n), n=1
M351 Real Analysis
Dr. Leary
Cianna Duringer
Polished Problem #3, Original
4.3.4
November 15th, 2015
Question:
A careless student, when asked, incorrectly remembers that a set is open if it
contains all of its interior points. Is there an example of a set
M351 Real Analysis
Dr. F Leary
Cianna Duringer
Problem 4.2.3, Polished Problem #2
Revision #2
11/12/2015
Q: Show that every interior point of a set must also be an accumulation point of that
set, but not conversely.
A:
Let E be a set of real numbers. Let
M351 Real Analysis
Polished Problem
Problems 3.4.3 and 3.4.4
Revision edition #5
Cianna Duringer
Note: For each summation, the index begins at k=1 and continues to .
Question: If (ak + bk) converges, what can we say about the series
ak and bk?
If (ak + b
M252
Cianna Duringer
2/10/15
Using Eulers Method with the second differential equation, our results are not as
clean. That is, many of the values obtained from Eulers method are no round numbers and
extend further than a tenth or a hundredth. Because of t
Math252
Cianna Duringer
Project #1
2/5/16
When approximating values using Eulers Method, a first order numerical method
used for solving ordinary differential equations, the approximated values carry both local
and global errors, both of which have some p