The major ideals , beliefs , attitudes , music , and other societal factors , all make up popular
culture. Pop culture is a mix of all things mainstream, it's the trends and fads that shape a given
body of people. Usually pop culture affects people aged 3
Career
City/State
Teacher
New York, NY
Engineer Entry Level
Executive Assistant
Executive Assistant
Engineer Entry Level
Banker
Banker
Banker
Information Technology
Phoenix, AZ
Chicago, IL
Orlando, FL
San Francisco, CA
Denver, CO
Virginia Beach, VA
Missio
Core
Skills for Health
Skills for Health is a valuable, skills-based health education course designed for general education in grades 9 through 12.
Skills for Health helps students develop knowledge, attitudes, and essential skills in a variety of health-
Instructor Critique
COMMENTS
Feedback to Learner
Billions of people use some sort of power, or electricity everyday. The majority of this power is
supplied by the depleting cash cow, fossil fuels. Fossil fuels impact on the atmosphere and
economy are both
De Leon 1
Domonique De Leon
Professor Hall
WRC 1023-0S3
9 Feb. 2016
Fossil Fueled Future
Everybody wants a clean world but nobody really realizes how hard it is to actually come
by. Energy is mainly made up of renewable resources being wind, water, and so
Matthew Readeaux
P.1
11/22/13
Group#8
Lab # 8Purpose- The purpose of this lab is to investigate variables that influence
acceleration and affect Newtons 2nd Law.
Materials- Stopwatch, Skateboard, Test Subject, Observer, Spring Scale
Hypothesis- If the per
Domonique De Leon
Professor Peterson
HIS 1053-013
April 23, 2016
Effects of the Vietnam War
Life during, before, and after the Vietnam war is very different then it is now. I conducted
this interview with my grandmother, Nancy Meza, who is now eighty-thre
Unit 1: Building Skills for Health
Lesson 1.1: What Is Health?
Activity 1.1.1: Discuss - Meeting Your Classmates
(Documents: Discussion)
Introduce yourself to your classmates and read the introductions that
they post. Discuss your own health questions you
Matthew Readeaux
P.1
11/1/13
Group #8
Lab #6:
Purpose: The purpose of this lab is to identify the relationship between centripetal
force, mass and velocity.
Materials: Tube, Rubber Stopper, Stopwatch, Nylon Cord, & Paper Clip
Hypothesis: If the mass of a
Readeaux 1
Matthew Readeaux
Prof Hall
WRC 1023 Hybrid
1 Apr. 2016
Semester Analysis: Matthew Readeaux
Whenever a professor assigns a written assignment, it feels like they are personally
punishing me. Writing has never been something that i have enjoyed o
If f t ( t is real, t 0 ) is a function-original, then the Laplace-transform of this function is
L f (t )( s) F ( s)
f (t )e
st dt ,
0
where s is a complex variable, s i
We will use the following notations between a function-original and its L-transfor
FALL 2015 Exam # 3 Name 501 ([5973: [323 g 8)
Sec
Math 1033
Each problem is worth 5 points. Solve each problem, then circle your answer and
carefully mark your scantron card.
For problems 1 & 2: On a summer day, the outdoor temperature varied according
to
Precalculus
Test 1 Review
This review is not exhaustive. It is a summary of the topics we have covered.
1
Test strategy and study plan
For the test . . .
Work those question that you know how to do rst.
Do not spend too much time on one question. If you
Exam 2 Review
Name_
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
5 r5
r
=
1) True or false?
s
s
1)
A) False
B) True
SHORT ANSWER. Write the word or phrase that best
Classication of Surfaces
Richard Koch November 20, 2005
1
Introduction
We are going to prove the following theorem: Theorem 1 Let S be a compact connected 2-dimensional manifold, formed from a polygon in the plane by gluing corresponding sides of the boun
Math 131
Solution Set 12
Dennis Clark
May 4, 2003
N1
and is isomorphic when restricted to such a neighborhood,
so Y is a covering space. Now, the disk at the center of
Y can be deformation retracted to a point, yielding two
spheres joined at a point, whic
N1
Math 131
Solution Set 11
Dennis Clark
May 3, 2003
Let X be a M bius band. (a) Show that 1 (X ) = Z.
o
(b) Exhibit a cover p : Y X where Y is simply connected. (c) Show that there does not exist a retract of
X onto its boundary circle C.
(a) Consider th
Math 131
Solution Set 10
Dustin Cartwright
April 15, 2003
is a bijection. We want to show that this is an isomorphism.
Let f , g be representative paths for two elements of
1 (T , b0 ). Let f and g be their liftings to paths in R2 .
If they have endpoints
(b) A star-convex set is clearly path connected, so it sufces to check triviality of the fundamental group at the star
center. At this point, however, star-convexity ensures that
the straight-line homotopy between an arbitrary loop and
the constant loop t
that for all x, x whenever d (x, x ) < , then d (x, x ) < .
Since (xi ) is Cauchy under d , there is an N such that
for i, j > N , d (xi , x j ) < . But under these same conditions, d (xi , x j ) < . Therefore (xi ) is Cauchy under d ,
so it converges (un
Math 131
Solution Set 7
Dennis Clark
April 15, 2003
4 34 3 Let X be a compact Hausdorff space. Show that X is
metrizable if and only if X has a countable basis.
Assume X is metrizable. X is Lindel f because it
o
is compact, and metrizable Lindel f spaces
2
number of rst coordinates in I0 , and so there is some x
[0, 1] such that x y A for all y [0, 1]. This means that
x (0, 1) is an non-empty open subset disjoint from A, so
2
A cannot be dense in I0 .
Math 131
Solution Set 6
Dustin Cartwright
March 11, 2
First, observe that a bijective order preserving map between ordered sets is a homeomorphism of topological
spaces. Also, note that half-open intervals of R all have
the same order type if theyre open on the same side.
(a) Forward, let f : [a, c) [0, 1).
2. Second, if x = a 0, but a = 0, then cfw_(a 1/n
0, a 1/n) | n > 1 forms a countable basis. Since
a
b = 0, c must be less than a. Thus there is some n
such that a 1/n > c. And as in the rst case, either
e > a and any basis element works or e = a and th
Math 131: Solution Set 3. By Dennis Clark
18 8 Let Y be an ordered set in the order topology. Let
f , g : X Y be continuous.
(a) Show that the set cfw_x| f (x) g(x) is closed in X.
(b) Let h : X Y be the function h(x) =
mincfw_ f (x), g(x). Show that h is
13 7 Consider the following topologies on R:
Math 131
Solution Set 2
Dustin Cartwright
February 11, 2003
T1 = the standard topology,
T2 = the topology of RK ,
T3 = the nite complement topology,
13 1 Let X be topological space; let A be a subset of X.
Supp
(c) x
Math 131
Solution Set 1
Dustin Cartwright
February 6, 2003
AA
A x A for at least one A A
True, because x A for ever A A . This is equivalent to
the converse above.
The converse is false, because x must be in every A A
in order to be in the intersec