The Nature of Mathematics, 12th Edition
Home
about dr. smith
glossary
transparencies
other books

Chapter1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
group projects
individual projects
links by topic

Homework Hints for Section 3.3

    Problems 1-5
    You may find these a bit more difficult that usual, so you might need to allocated a bit of extra time to do these.
    Problems 6-7
    You need to read all of the signs. In part b of each of these problems, there is a disagreement between the middle and lower signs.
    Problems 8-15
    See Examples 2 and 3.
    Start with columns headed p, q.
    Fill in all possible outcomes; namely T, T; T, F; F, T; and F, F.
    Next, label the columns, one at a time.

    For Problem 8, the next column should be headed "~q", followed by "p and q,
    p implies ~q, and finally the compound statement given in the problem.

    Problems 16-19
    Construct a truth table and then check by looking at Table 3.9.
    Problems 20-29
    First choose variables for each simple statement.
    In Problem 20, let s: smoking is good for your health. Don't forget to use simple statements (ones that do not include a connective, such as "and", "or", or "not."
    Let d: Drinking is good for your health.
    Next, translate: neither s nor d is good for your health.
    Finally, use Table 3.9 to insert the appropriate connectors.
    Problems 30-35
    First identify the p and q for the problem. Then use Example 4 and the given tautology to determine if the original statement is true.

    Note: Homework Hints are given only for the Level 1 and Level 2 problems.

    However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

    On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

    There are many sources for homework help on the internet.

    Algebra.help
    Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
    http://www.algebrahelp.com/

    Ask Dr. Math
    Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
    http://mathforum.org/dr/math/
    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32

< Back to Section 3