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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
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MTH 221 Week 1 DQ 1
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?
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MTH 221 Week 1 DQ 2
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.
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MTH 221 Week 1 DQ 3
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.
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MTH 221 Week 1 Individual and Team Assignment
Selected Textbook Exercises
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. 
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MTH 221 Week 1 Individual AssignmentSelected
Textbook Exercises(New)
Complete the six questions listed below Ch. 1 of
Discrete and Combinatorial Mathematics Supplementa
ry Exercise 2 Ch. 2 of Discrete and Combinatorial
Mathematics
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MTH 221 Week 2 DQ 1
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.
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MTH 221 Week 2 DQ 2
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 Week 2 DQ 3
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 Week 2 DQ 4
Week 2 DQ4 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?
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MTH 221 Week 2 Individual and Team 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
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MTH 221 Week 2 Individual Assignment Selected
Textbook Exercises
Complete the 4 questions below and submit on the
worksheet provided by Deb. Ch. 4 of Discrete and
Combinatorial Mathematics Exercise 4.1, problems
4 p 208 Exercise 4.3, problems 4 p 230 Ch. 5
of Discrete and Combinatorial Mathematics
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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 Exercise 4.1, problem
18 p 209 Exercise 4.5, problems 2 p 241 Ch. 5
of -Discrete and Combinatorial Mathematics
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MTH 221 Week 3 DQ 1
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 Week 3 DQ 2
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 Week 3 DQ 3
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 Week 3 DQ 4
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 Week 3 Individual and Team Assignment
Selected Textbook Exercises
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.   
Ch. 7
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MTH 221 Week 3 Individual Assignment Selected
Textbook Exercises
Complete 4 questions below and submit on the
worksheet provided by Deb. Ch. 7 Exercise 7.1,
problems 6, pp 343-344 Exercise 7.3, problems
6 p 364 Exercise 7.4, problems 2 p 370
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MTH 221 Week 3 Team Assignment Selected Textbook
Exercises
Complete the 4 questions below and submit on the
worksheet provided by Deb. Ch. 7 Exercise 7.2,
problems 2 14 (Develop the algorithm only, not
the computer code.) pp 354 Ch. 8 Exercise 8.1,
problem 20 p 397 Exercise 8.2, probles 4 p 401
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MTH 221 Week 4 DQ 1
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 Week 4 DQ 2
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 Week 4 DQ 3
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.
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MTH 221 Week 4 DQ 4
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 components
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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
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MTH 221 Week 5 DQ 1
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 Week 5 DQ 2
Week 5 DQ2 With an example, discuss the basic
concepts of boolean algebra.
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MTH 221 Week 5 DQ 3
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 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
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MTH 221 Week 5 Learning Team Assignment Research
Paper Presentation
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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