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Title: MTH 221 TUTORIALS Redefine the Possible / mth221tutorials.com


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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Entire Course (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   MTH 221 Week 1
Individual and Team Assignment Selected Textbook
Exercises MTH 221 Week 2 Individual and Team
Assignment Selected Textbook Exercises MTH 221
Week 3 Individual and Team Assignment Selected
Textbook Exercises MTH 221 Week 4 Individual and
Team Assignment Selected Textbook Exercises MTH
221 Week 5 Individual and Team Assignment
Selected Textbook Exercises
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 1 DQ 1 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 1
DQ1 Consider the problem of how to arrange a
group of n people so each person can shake hands
with every other person. How might you organize
this process? How many times will each person
shake hands with someone else? How many
handshakes will occur? How must your method vary
according to whether or not n is even or odd?
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 1 DQ 2 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 1 DQ2 There
is an old joke that goes something like this If
God is love, love is blind, and Ray Charles is
blind, then Ray Charles is God. Explain, in the
terms of first-order logic and predicate
calculus, why this reasoning is incorrect. p
God is love
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 1 DQ 3 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 1 DQ3 Relate
one of the topics from this week's material to a
situation in your professional or personal life
and discuss how you would solve the issue with
the recently acquired knowledge.
6
MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 1 Individual and Team Assignment
Selected Textbook Exercises (UOP) FOR MORE
CLASSES VISIT www.mth221tutorials.com   MTH 221
Week 1 Individual and Team Assignment Selected
Textbook Exercises Mathematics - Discrete
Mathematics Complete 12 questions below by
choosing at least four from each section. Ch.
1 of Discrete and Combinatorial Mathematics o
Supplementary Exercises 1, 2, 7, 8, 9, 10, 15(a),
18, 24, 25(a b)
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 1 Individual Assignment Selected
Textbook Exercises (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Complete the six
questions listed below Ch. 1 of
Discrete and Combinatorial Mathematics o
Supplementary Exercise 2 Ch. 2 of
Discrete and Combinatorial Mathematics o
Exercise 2.1, problem 10 p 54 o Exercise 2.2,
problem 4 p 66
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 2 DQ 1 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 2
DQ1 Describe a situation in your professional or
personal life when recursion, or at least the
principle of recursion, played a role in
accomplishing a task, such as a large chore that
could be decomposed into smaller chunks that were
easier to handle separately, but still had the
semblance of the overall task. Did you track the
completion of this task in any way to ensure that
no pieces were left undone, much like an
algorithm keeps placeholders to trace a way back
from a recursive trajectory? If so, how did you
do it? If not, why did you not?
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 2 DQ 2 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 2
DQ2 Describe a favorite recreational activity in
terms of its iterative components, such as
solving a crossword or Sudoku puzzle or playing a
game of chess or backgammon. Also, mention any
recursive elements that occur.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 2 DQ 3 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 2 DQ3 Using
a search engine of your choice, look up the term
one-way function. This concept arises in
cryptography. Explain this concept in your own
words, using the terms learned in Ch. 5 regarding
functions and their inverses.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 2 DQ 4 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 2 DQ4 A
common result in the analysis of sorting
algorithms is that for nelements, the best
average-case behavior of any sort algorithmbased
solely on comparisonsis O(n log n). How might a
sort algorithm beat this average-case behavior
based on additional prior knowledge of the data
elements? What sort of speed-up might you
anticipate for such an algorithm? In other words,
does it suddenly become O(n), O(n log n) or
something similar?
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 2 Individual and Team Assignment
Selected Textbook Exercises (UOP) FOR MORE
CLASSES VISIT www.mth221tutorials.com   MTH 221
Week 2 Individual Assignment and Team Selected
Textbook Exercises Mathematics - Discrete
Mathematics Complete 12 questions below by
choosing at least three from each section.
13
MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 2 Individual Assignment Selected
Textbook Exercises (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Complete the 4
questions below and submit on the worksheet
provided by Deb. Ch. 4 of Discrete and
Combinatorial Mathematics o Exercise 4.1,
problems 4 p 208 o Exercise 4.3, problems 4 p
230 Ch. 5 of Discrete and Combinatorial
Mathematics
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 2 Team Assignment Selected Textbook
Exercises (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Complete the 4
questions below and submit on the worksheet
provided by Deb. Ch. 4 of Discrete and
Combinatorial Mathematics o Exercise 4.1,
problem 18 p 209 o Exercise 4.5, problems 2 p
241 Ch. 5 of -Discrete and
Combinatorial Mathematics o Exercise 5.2,
problems 27(a b) p 259
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 3 DQ 1 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 3 DQ1 In
week 2 we reviewed relations between sets. We
will continue that topic this week too. With
definitions and examples discuss at least 3
different types of relations.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 3 DQ 2 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 3 DQ2 Read
through sections 7.2 and 7.3 for topics on 0-1
matrices, directed graphs and partial orders.
Pick any of the topics (definitions and theorems)
that was not already covered by your fellow
students and present your understanding. Please
provide examples as you discuss.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 3 DQ 3 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 3 DQ3 Read
through section 8.1-8.2 and discuss your
findings. Sections 8.1 and 8.2 illustrate the
principle of inclusion and exclusion based on
conditions for inclusion.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 3 DQ 4 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 3
DQ4 Disucss how the principle of inclusion and
exclusion is related to the rules of manipulation
and simplification of logic predicates from
chapter 2.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 3 Individual and Team Assignment
Selected Textbook Exercises (UOP) FOR MORE
CLASSES VISIT www.mth221tutorials.com   MTH 221
Week 3 Individual and Team Assignment Selected
Textbook Exercises Mathematics - Discrete
Mathematics Complete 12 questions below by
choosing at least four from each section.
20
MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 3 Individual Assignment Selected
Textbook Exercises (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Complete 4
questions below and submit on the worksheet
provided by Deb. Ch. 7 o Exercise
7.1, problems 6, pp 343-344 o Exercise 7.3,
problems 6 p 364
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 3 Team Assignment Selected Textbook
Exercises (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Complete the 4
questions below and submit on the worksheet
provided by Deb. Ch. 7 o Exercise
7.2, problems 2 14 (Develop the algorithm only,
not the computer code.) pp 354 Ch. 8 o
Exercise 8.1, problem 20 p 397 Exercise 8.2,
probles 4 p 401
22
MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 4 DQ 1 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 4 DQ1 Review
section 11.1 of the text and discuss here at
least 2 topics from the section along with one
exercise problem.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 4 DQ 2 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   Week 4 DQ2 Review
sections 11.2-11.4 of the text and discuss topics
(that were not already covered by your
colleagues) from the section. Don't forget the
examples.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 4 DQ 3 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com     Week 4
DQ3 Random graphs are a fascinating subject of
applied and theoretical research. These can be
generated with a fixed vertex set V and edges
added to the edge set E based on some probability
model, such as a coin flip. Speculate on how many
connected components a random graph might have if
the likelihood of an edge (v1,v2) being in the
set E is 50. Do you think the number of
components would depend on the size of the vertex
set V? Explain why or why not.
25
MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 4 DQ 4 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com     Week 4
DQ4 Trees occur in various venues in computer
science decision trees in algorithms, search
trees, and so on. In linguistics, one encounters
trees as well, typically as parse trees, which
are essentially sentence diagrams, such as those
you might have had to do in primary school,
breaking a natural-language sentence into its
componentsclauses, subclauses, nouns, verbs,
adverbs, adjectives,
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 4 Individual and Team Assignment
Selected Textbook Exercises (UOP) FOR MORE
CLASSES VISIT www.mth221tutorials.com   MTH 221
Week 4 Individual and Team Assignment Selected
Textbook Exercises Mathematics - Discrete
Mathematics Complete 12 questions below by
choosing at least four from each section. Ch.
11 of Discrete and Combinatorial Mathematics o
Exercise 11.1, problems 3, 6, 8, 11, 15, 16
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 5 DQ 1 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com     Week 5 DQ1 In
your own words, discuss examples of at least 3 of
the ten laws of Boolean algebra
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 5 DQ 2 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com     Week 5 DQ2 With
an example, discuss the basic concepts of boolean
algebra.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 5 DQ 3 (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com     Week 5 DQ3 How
does the reduction of Boolean expressions to
simpler forms resemble the traversal of a tree,
from the Week Four material? What sort of Boolean
expression would you end up with at the root of
the tree?
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 5 Individual and Team Assignment
Selected Textbook Exercises (UOP) FOR MORE
CLASSES VISIT www.mth221tutorials.com   MTH 221
Week 5 Individual and Team Assignment Selected
Textbook Exercises Mathematics - Discrete
Mathematics Complete 12 questions below. Ch.
15 of Discrete and Combinatorial Mathematics o
Supplementary Exercises, problems 1, 5, 6
Ch. 15 of Discrete and Combinatorial Mathematics
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
MTH 221 Week 5 Learning Team Assignment Research
Paper Presentation (UOP) FOR MORE CLASSES
VISIT www.mth221tutorials.com   MTH 221 Week 5
Learning Team Assignment Research Paper
Presentation Mathematics - Discrete
Mathematics Submit the final Research
Presentation. Submit the paper and
power-point presentation with detailed speaker
notes.
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MTH 221 TUTORIALS Redefine the Possible /
mth221tutorials.com
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