Title: MTH 221 Instant Education/uophelp
1MTH 221 UOP Course Tutorial
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2MTH 221 UOP Course Tutorial
- MTH 221 Entire Course (New)
- 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 - MTH 221 Week 5 Learning Team Assignment Research
Paper Presentation
- 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?
3MTH 221 UOP Course Tutorial
- 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 loveq Love is blindr Ray Charles
is blind
- 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.
4MTH 221 UOP Course Tutorial
- MTH 221 Week 1 Individual and Team Assignment
Selected Textbook Exercises
- MTH 221 Week 1 Individual AssignmentSelected
Textbook Exercises(New)
- 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)
- Complete the six questions listed below
- Ch. 1 of Discrete and Combinatorial Mathematics
- Supplementary Exercise 2
- Ch. 2 of Discrete and Combinatorial Mathematics
- Exercise 2.1, problem 10 p 54
- Exercise 2.2, problem 4 p 66
5MTH 221 UOP Course Tutorial
- 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?
- 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.
6MTH 221 UOP Course Tutorial
- 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
- A common result in the analysis of sorting
algorithms is that for n elements, 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?
7MTH 221 UOP Course Tutorial
- MTH 221 Week 2 Individual and Team Assignment
Selected Textbook Exercises
- MTH 221 Week 2 Individual Assignment Selected
Textbook Exercises
- 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. - Ch. 4 of Discrete and Combinatorial Mathematics
- o Exercise 4.1, problems 4, 7, 18
- o Exercise 4.2, problems 11 16
- Ch. 4 of Discrete and Combinatorial Mathematics
- 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
8MTH 221 UOP Course Tutorial
- MTH 221 Week 2 Team Assignment Selected Textbook
Exercises
- 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
- 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.
9MTH 221 UOP Course Tutorial
- 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.
- 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
10MTH 221 UOP Course Tutorial
- MTH 221 Week 3 Individual and Team Assignment
Selected Textbook Exercises
- 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.
- Mathematics - Discrete Mathematics
- Complete 12 questions below by choosing at least
four from each section. - Ch. 7
- o Exercise 7.1, problems 5, 6, 9, 14
- o Exercise 7.2, problems 2, 9, 14 (Develop the
algorithm only, not the computer code.) - o Exercise 7.3, problems 1, 6, 19
- Ch. 7
11MTH 221 UOP Course Tutorial
- MTH 221 Week 3 Individual Assignment Selected
Textbook Exercises
- MTH 221 Week 3 Team Assignment Selected Textbook
Exercises
- 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
- o Exercise 7.4, problems 2 p 370
- 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
12MTH 221 UOP Course Tutorial
- 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
- 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.
13MTH 221 UOP Course Tutorial
- 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.
- 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, prepositions, and so on.
14MTH 221 UOP Course Tutorial
- MTH 221 Week 4 Individual and Team Assignment
Selected Textbook Exercises
- 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
- Ch. 11 of Discrete and Combinatorial Mathematics
- Week 5 DQ1
- In your own words, discuss examples of at least 3
of the tena laws of Boolean algebra.
15MTH 221 UOP Course Tutorial
- Week 5 DQ2
- With an example, discuss the basic concepts of
boolean algebra.
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- 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?
16MTH 221 UOP Course Tutorial
- MTH 221 Week 5 Individual and Team Assignment
Selected Textbook Exercises
- 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
- o Exercise 15.1, problems 1, 2, 11, 12, 14, 15
- Ch. 15 of Discrete and Combinatorial Mathematics
- o Exercise 15.1, problems 4, 5, 8, 9
17MTH 221 UOP Course Tutorial
For more course tutorials visit www.uophelp.com