Paisano, David HISU 360 Professor Bingley Research

Paisano, David
HISU 360
Professor Bingley
Research Topic Proposal
I would like to do research paper on the Greeks.
I want to do my research paper on the Greeks because I find it
interesting on how they were a resource
poor country. They were dependent on the access to the foreign
markets, and raw materials. It was
because of certain situations that the greeks were forced to
venture out.
I also find it interesting that it was composed of over 1400
islands that made up Greece. Due to
having 1400 islands in the Mediterranean Sea, the greeks were
able to trade and bing new ideas to their
culture. Sailors and mercenaries would trade for goods and
ideas being on the Mediterranean Sea.
Greece was also one of the most advanced civilizations of their
time. The greeks achieved an
unparalleled achievements than western civilization.

And how the islands helped develop the country.
MT131: Discrete Mathematics
Tutor Marked Assignment
Cut-Off Date: April --, 2022
Total Marks: 40
Contents
Feedback form
……….……………..…………..…………………….…...….. 2
Question 1
……………………..………………………………………..………
3
Question 2
……………………………..………………..………………………
4
Question 3
………………………………..………………..……………………
5
Question 4
………………..……………………………………..………………
6
Question 5
………………..……………………………………..………………
7
Plagiarism Warning:
As per AOU rules and regulations, all students are required to

submit their own TMA work and avoid plagiarism. The AOU
has implemented sophisticated techniques for plagiarism
detection. You must provide all references in case you use and
quote another person's work in your TMA. You will be
penalized for any act of plagiarism as per the AOU's rules and
regulations.
Declaration of No Plagiarism by Student (to be signed and
submitted by students with TMA work):
I hereby declare that this submitted TMA work is a result of my
own efforts and I have not plagiarized any other person's work.
I have provided all references of information that I have used
and quoted in my TMA work.
Student Name : _____________________
Signature : _________________
Date : ___________
MT131 TMA Feedback Form
[A] Student Component
Student Name : ____________________
Student Number : ____________
Group Number : _______
[B] Tutor Component
Comments
Weight
Mark
Q_1
8
Q_2

8
Q_3
8
Q_4
8
Q_5
8
40
General Comments:
Tutor name:

The TMA covers only chapters 1, 2, 4, 6 and 7 and consists of
eight questions for a total of 40 marks. Please solve each
question in the space provided. You should give the details of
your solutions and not just the final results.
Q−1: [8×1 marks] Let and be the propositions:
: “Ahmad comes to the party”,
: “Salim comes to the party”,
: “Khalid comes to the party”,
: “Bader comes to the party”.
Write the following propositions using and logical connectives:
a) “Nether Ahmad nor Salim come to the party”.
b) “If Bader comes to the party, then Salim and Khalid come
too”.
c) “Khalid comes to the party only if Ahmad and Salim do not
come”.
d) “Bader comes to the party if and only if Khalid comes and
Ahmad doesn’t come”.
e) “If Bader comes to the party, then, if Khalid doesn’t come
then Ahmad comes”.
f) “Khalid comes to the party provided that Bader doesn’t come,
but, if Bader comes, then Salim doesn’t come”.
g) “A necessary condition for Ahmad coming to the party is
that, if Salim and Khalid aren’t coming, Bader comes”.
h) “Ahmad, Salim and Khalid come to the party if and only if
Bader doesn’t come, but, if neither Ahmad nor Salim come, then
Bader comes only if Khalid comes”.
Q−2:
a) [2+2 marks] Let. In each of the following cases, find and
determine whether , both or neither:
i. .
ii. .
b) [2+2 marks] Which of the following functions, whose domain
and codomain are the real numbers, are one-to-one, which are

onto, and which have inverses, justify your answers:
i. .
ii. .
Q−3: [2+3+3 marks]
a) Find all such that .
b) If is a zero-one matrix, find .
b) Find the inverse of the encrypting function
,
and use it to decrypt the message “ZRQUBFNB”.
Q−4:
a) [1+1+2 marks] Consider the design of a communication
system.
i. How many three-digit phone prefixes that are used to
represent a particular geographic area (such as an area code)
can be created from the digits 0 through 9?
ii. As in part i., how many three-digit phone prefixes are
possible that do not start with 0 or 1, but contain 0 or 1 as the
middle digit?
iii. How many three-digit phone prefixes are possible in which
no digit appears more than once in each prefix?
b) [1+1+2 marks] Suppose that an operating room needs to
handle three knee, four hip, and five shoulder surgeries.
i. How many different sequences are possible?
ii. How many different sequences have all hip, knee, and
shoulder surgeries scheduled consecutively?
iii. How many different schedules begin and end with a knee
surgery?
Q−5:
a) [2+1+1 marks] An urn contains 5 red balls and 6 blue balls.
A ball is drawn randomly, its colour is noted, and then the ball
is replaced in the urn. If this process is repeated four times:
i. What is the probability of getting two red balls and 2 blue

balls?
ii. What is the probability that all 4 balls are of the same
colour?
iii. What is the probability that the first red ball is drawn in the
4th trial?
b) [2+1+1 marks] Number plates in an Arab country consist of 3
letters (chosen from a specified set of 20 letters from the Arabic
alphabet) and 4 digits (from 0 to 9).
i. Find the probability of a plate having identical letters.
ii. Find the probability of a plate having identical digits.
iii. Find the probability of a plate having consecutive digits.
MT131 – Discrete Mathematics
2021-2022 / Spring
1
HISU 360 Final Research Paper
The major assignment in this course fulfills UMass Global’s
Instructional Learning Outcome (ILO), for “Global Cultures,”
ILO 4, which
requires that students are able to “explain the relationship
between a global issue and the history, values, politics,
economy,
communication styles, or beliefs and practices of one or more
cultures affected by that issue.”
Prior to completing this paper, you will submit a topic proposal

in Week 2 and a first draft in Week 5. This preliminary work
will
serve as the foundation for your final paper, and your work will
benefit from the feedback you receive from your instructor
regarding the topic proposal and the first draft.
For your final research paper, you will examine at least two
cultures from the time range of antiquity to 1800. The
examination can
be across international and/or geographical boundaries, such as
comparing the Roman Empire to the Han Dynasty of China.
OR
It could be an internal comparison across time periods, such as
how Catholics and Protestants interacted in England prior to
coming
to the New World and how they interacted after their migration
to British North America.
Your topic will be approved at the topic proposal stage.
Your final paper is a polished version of the draft you submitted
earlier in the term. It must include:
• Cover page with the title of the paper, your name, course
number, instructor’s name, and date.
• Introductory paragraph in which you describe the two
cultures/groups you will study. This paragraph should be an
expansion
of the introductory sentence from your topic proposal and

include an explanation of why you chose these groups and why
your topic is important.
• Thesis in which you explain the historical similarities or
differences between each of the populations.
• Body in which you support the thesis with research from a
minimum of four scholarly sources (to include books and/or
journal articles). The body must also include
graphics/photos/statistics/charts/newspaper clippings/music
tracks as needed,
as well as an explanation why you selected this support.
2
• Conclusion which is a discussion of why your research is
important. Specifically, you should include a reflection of
insights
you gained, such as lessons you learned about the two
populations. You should also include a discussion about how
these
two populations shaped other historical events.
• Working bibliography***
The research paper needs to be 10-12 pages in length plus a
bibliography and needs to incorporate a minimum of 4 scholarly
sources.
***Anyone who uses websites like Wikipedia, Ask.com, eHow,
or any K-12 educational website will, at the discretion of the

instructor, automatically be deducted a letter grade on the first
offense. Subsequent offenses will receive harsher penalties ,
with
a maximum of a 0 on the project. This is to protect the academic
integrity of this course, which is held to University-level
standards.***
Also, make sure to follow the proper guidelines for citing
sources for your paper. You can use either MLA or APA,
whichever i s
required by your instructor.
3
Rubric
Criteria EXEMPLARY
PROFICIENT
DEVELOPING

EMERGING
NOT COMPLETE
ILO Introductory
Paragraph
(20 points)
Clearly describes in
detail the two
cultures/groups.
Thoroughly expands
upon the introductory
sentence from the
topic proposal and
includes a thoughtful
explanation of why
these groups were
chosen and why the
topic is important.
(16 points)
Describes the two
cultures/groups.
Expands upon the
introductory sentence
from the topic proposal
and includes an
explanation of why
these groups were
chosen and why the
topic is important.

(14 points)
Describes the two
cultures/groups but lacks
clarity. Does not clearly
expand upon the
introductory sentence from
the topic proposal. Includes
an explanation of why these
groups were chosen and
why the topic is important;
however, the explanation is
vague and lacks clarity.
(12 points)
Minimally describes the
two cultures/groups or
describes only one group.
Does not expand upon the
introductory sentence
from the topic proposal.
Includes little to no
explanation of why these
groups were chosen and
why the topic is important.
(0 points)
No Introduction is
present.
ILO Thesis (40 points)
Clearly explains the
historical similarities
or differences
between each of the
populations.

(32 points)
Explains the historical
similarities or
differences between
each of the
populations.
(28 points)
Vaguely explains the
historical similarities or
differences between each
of the populations.
(24 points)
Minimally explains the
historical similarities or
differences between each
of the populations.
(0 points)
Thesis is not present.
ILO Body (90 points)
Clearly supports the
thesis with research

from a minimum of
four scholarly sources
(to include books
and/or journal
articles). Includes
graphics/photos/statis
tics/charts/newspaper
(80 points)
Supports the thesis
with research from a
minimum of four
scholarly sources (to
include books and/or
journal articles).
Includes
graphics/photos/statisti
cs/charts/newspaper
(70 points)
Lacks clear support of the
thesis. Includes fewer than
four scholarly sources (to
journal articles). Includes
graphics/photos/statistics/c
harts/newspaper
clippings/music tracks but
lacks an explanation why
(60 points)
Does not support the
thesis. Includes fewer than
four scholarly sources (to

journal articles). May
include sources that are
not scholarly.
(0 points) Body is not
present.
4
clippings/music tracks
as needed, as well as
an explanation why
this support was
selected.
clippings/music tracks
as needed, as well as
an explanation why this
support was selected.
this support was selected.
ILO Conclusion (25 points)
Thoroughly discusses
why this research is
important. Includes a
thoughtful reflection

of insights gained,
such as lessons
learned about the two
populations. Includes
a discussion about
how these two
populations shaped
other historical
events.
(18 points)
Discusses why this
research is important.
Includes a reflection of
insights gained, such as
lessons learned about
the two populations.
Includes a relevant
discussion about how
these two populations
shaped other historical
events.
(16 points)
Vaguely discusses why this
research is important.
Includes a basic reflection
of insights gained, such as
lessons learned about the
two populations. Includes a
basic discussion about how
these two populations
events.

(14 points)
Minimally discusses why
this research is important.
Includes little to no
reflection of insights
gained, such as lessons
learned about the two
populations. Includes little
to no discussion about
how these two populations
events.
(0 points)
No Conclusion is
present.
Formatting,
Organization,
and
Mechanics
(25 points) Proper
formatting for citations
is applied flawlessly
throughout paper. The
ideas are clear, well
organized, and have a

logical flow. Word
choice is precise and
accurate. The paper is
free of mechanical
errors including
grammar and spelling.
The paper is 10-12
pages in length plus a
bibliography and
(18 points)
Proper formatting for
citations is applied
throughout paper. The
information is clear,
ideas make sense, and
the word choice is
consistent. The paper
has occasional errors in

grammar, spelling, or
mechanics, but it does
not distract from the
presentation of ideas.
The paper is 10-12
pages in length plus a
(16 points)
paper contains one or more
errors in formatting for
citations. The information is
vague or confusing at times,
and the ideas lack
connections. Word choice is
limited or lacks precision.
The mechanical errors
distract from the ideas.
The paper is less than 10-12

pages in length. It may lack a
bibliography and/or cover
page.
(14 points)
The paper contains a
significant number of errors
in formatting for citations.
The information and ideas
are minimally effective and
lack a logical flow. The
frequent errors in word
choice, grammar, spelling,
and mechanics make the
ideas difficult to
understand.
The paper is less than 10-12
pages in length. It may lack
(0 points)

The paper is not
submitted or does not
use any appropriate
formatting,
organization, or
mechanics.
5
includes a cover page.
A minimum of 4
scholarly sources are
incorporated effectively
and properly
referenced.
bibliography and
includes a cover page.

A minimum of 4
scholarly sources are
incorporated effectively
and properly referenced.
A minimum of 4 scholarly
sources are not incorporated
effectively and properly
referenced.
a bibliography and/or cover
page.
A minimum of 4 scholarly
sources are not
incorporated effectively and
properly referenced.
HISU 360 Final Research PaperRubric

Paisano, David HISU 360 Professor Bingley Research

Paisano, David HISU 360 Professor Bingley Research

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