Sample Midterm 2
MA341
1
Chose between True and False
1. If f : [0, +) [0, 1] is continuous, then
f + f is always continuous
(a) True
(b) False
2. limx0 sin x1 = +
(a) True
(b) False
3. limx0 x cos x1
. Please read The Trees of the Niu Mountain" by Mang tzu.
Questions:
[a] Explain what the metaphor of the mountain means.
[b] Does the author think human nature is basically "good" (cooperative and co
MA 34100 Fall 2016, HW 6
October 13, 2016
1
4.7.4 [3 pts]
In many applications of open sets and closed sets we wish to work just inside some other set A.
It is convenient to have a language for this.
Yin Zheng
Minerals and Mining (20 points) EAPS 10000 Y01 Planet Earth online
F16
Name_ If writing by hand, be sure to print legibly.
1. Introduction: This homework assignment briefly explores the topi
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a. cfw_4 m.)Uimmvmumadyadh,mpmmmmnmhh.msrnwynu
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:1 pts. Mm. 1 pl. wait
Farsssli ansmrtllal is sarong. taiiisa
Sample Midterm 1, MA341
February 21, 2016
1. Let (an )nN be a sequence such that for every N there exists n N such that
1
|an+3 an | .
3
Then (an )nN is not a convergent sequence.
(a) True
(b) False
2
Sample final MA341
1
Part A
Select the unique correct answer. Consider the function f : (0, 2) R, f (x) =
1 .
x
Then
1. f is uniformly continuous on (0, 2).
(a) True
(b) False
2. There exist 0 > 0 and
CS 158/159 Homework 7
This assignment is worth 15 points and will be due Monday December 5, 2016 at 11:00pm. All
assignment deadlines are firm and the ability to submit your assignment will be disable
Bergmann
Fall 2016
PHIL 110: Introduction to Philosophy
STUDY GUIDE FOR EXAM 1
NOTE: Questions will be added to the study guide as we progress through the semester. It may
take until a week before the
2.3.1 Denition Let S be a nonempty subset of R.
(a) The set S is said to be bounded above if there exists a number u E R such that s S u
for all s E S. Each such number u is called an upper bound of S
3.2 Limit Thumb
Given 2 sequences
X: (and and Y: (ya) Jud Hui
M (x.\ 3 X and Inn (Va) " 7
we prove d Hui
I. I3 (xnyd = x w
2. im (Xn y") = Xy.
3 To prove lg. fax.) 3 (X,
lei Y: (ya) = c, For an t. Ii
Second Sample Midterm exam
MA351
1
Multiple choices, 20 points
1. If A is a 2 2 matrix such that A2 = 0, then A = 0.
(a) Yes
(b) No
2. If A, B are 3 3 matrices, then we always have AB = BA.
(a) Yes.
(
1. If you have 2 quanta of energy distributed between 2 oscillators, what is the probability
both oscillators have exactly 1 quantum?
A. 2/3
B. 1/3
C. 1
D.
E. 0
2. A disk of radius 8 cm and mass 10 k
Exam 2
Last Name:
First Name:
No notes, calculators, or other electronic devices such as cell
phones are allowed during the exam. Violation of this policy will
result in an automatic 0 on the test. Th
Not on test
Not on test
You could also use the fromula A^-1_31=det A_13/det A where
A_13 is A with its first row and third column removed.
belongs to
Thus each of the B_i=c_i U where U is a basis of t
Justify all answers. A correct answer Without supporting justication
is worth N 0 credit!
1. Find the characteristic polynomial p()\) for A Where 5 pts.
n 3
2 3 0 A1 3% 9;) 3
A: 0 7 0 "M ,. (:1 3
1 0
(Year)
(Month)
(Day)
Schedule of Stay
The schedules of stay in Japan of the visa applicant
Date
and
Activity Plan
Contact
1
others are as follows:
Accommodation