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<IMG ALIGN=RIGHT HEIGHT = "250" BORDER=1
SRC="http://images.barnesandnoble.com/images/11120000/11125130.jpg" ALT="Discrete Mathematics and its Applications">
 <br><BR><BR>
<H1>Introduction to Proof</H1>
<H2>Fall 2007 </H2>

<p>
MWF 1:05 - 1:55 <br><BR><BR><BR><BR>
 
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<p><H2>Course Information</H2>
<P>
<A HREF = ".1050//Syllabus.pdf">Syllabus </A> <br>
Textbook: <A HREF = "http://search.barnesandnoble.com/booksearch/isbnInquiry.asp?z=y&EAN=9780073312712&itm=1"
>Discrete Mathematics and its Applications, 6th Edition</A> Kenneth H. Rosen

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<A HREF = "./1050/groupproject.pdf">Group Project </A><br>
<A HREF = "./1050/coversheet.pdf">Group Project Coversheet</A><br>
<A HREF = "./1050groupsfall07.php">Groups</A><br>
<A HREF = "./1050fall07articles.php">List of Articles </A><br>
<A HREF = "./1050/quiz01.pdf">Quiz #1 Solutions </A><br>
<A HREF = "./1050/quiz02.pdf">Quiz #2 Solutions </A><br>
<A HREF = "./1050/quiz03.pdf">Quiz #3 Solutions </A><br>
<A HREF = "./1050/test01.pdf">Exam #1 Solutions </A><br>
<A HREF = "./1050/quiz04.pdf">Quiz #4 Solutions </A><br>
<A HREF = "./1050spring07.php">Spring 2007 Course Website </a><br>

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<H2>Homework</H2>
<H3>Basic</H3>
<H4>Chapter 1</H4>
<ul>
<li><B>Section 1</B> 2, 6, 7, 18, 31, 32  </li>

<li><B>Section 2</B> 5, 6  </li>
<li><B>Section 3</B> 2, 10, 17, 18  </li>
<li><B>Section 4</B> 1, 2, 9, 32, 33 </li>
<li><B>Section 5</B> 1, 2, 5, 6, 7, 9 </li>
<li><B>Section 6</B> 1, 2, 5, 8, 11, 13, 15 </li>

</ul>
<H4>Chapter 3</H4>
<ul>
<li><B>Section 4</B> 5, 6, 7, </li>
<li><B>Section 5</B> 13</li>
<li><B>Section 6</B> 23, 24, 25, 26</li>
<li><B>Section 7</B> 3, 4, 18, 19 </li>

</ul>
<H4>Chapter 4</H4>
<ul>
<li><B>Section 1</B> 1, 2, 3, 4 </li>
<li><B>Section 2</B> 1, 2, 5</li>
</ul>

<H3>Medium</H3>
<H4>Chapter 1</H4>

<ul>
<li><B>Section 1</B> 46, 47, 55, 56 </li>
<li><B>Section 2</B> 23, 24, 26, 29, 30 </li>
<li><B>Section 3</B> 35, 36, 39 </li>
<li><B>Section 4</B> 21, 24, 25, 40, 41 </li>

<li><B>Section 5</B> 17, 18, 19, 20, 2326 </li>
<li><B>Section 6</B> 18, 19, 21, 23, 25, 26, 27 </li>
</ul>
<H4>Chapter 3</H4>
<ul>
<li><B>Section 4</B> 8, 13, 14</li>
<li><B>Section 5</B> 14</li>

<li><B>Section 6</B></li>
<li><B>Section 7</B> 5, 6, 7, 8, 11, 12, 14, 20, 21, 22, 25, 26</li>
</ul>
<H4>Chapter 4</H4>
<ul>
<li><B>Section 1</B> 6, 7, 8, 10, 12, 13, 14, 16, 32, 33, 34, 47, 48, 49</li>
<li><B>Section 2</B> 11, 12, 14, 25, 26, 29 </li>

</ul>

<H3>Challenge</H3>
<H4>Chapter 1</H4>
<ul>
<li><B>Section 1</B> 42, 43, 62, 63, 64, 65 </li>
<li><B>Section 2</B> 32, 36, 39, 41, 60 </li>
<li><B>Section 3</B> 47, 48 </li>

<li><B>Section 4</B>  </li>
<li><B>Section 5</B> 32, 33, 35  </li>
<li><B>Section 6</B> 32, 33, 37, 38, 39 </li>
</ul>
<H4>Chapter 3</H4>
<ul>
<li><B>Section 4</B></li>

<li><B>Section 5</B> 6, 7</li>
<li><B>Section 6</B> 56</li>
<li><B>Section 7</B> 9, 10, 24 </li>
</ul>
<H4>Chapter 4</H4>
<ul>
<li><B>Section 1</B> 25, 27, 36, 37,  </li>

<li><B>Section 2</B> 9, 30, 31, 33, 34 </li>
</ul><br>
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                          <p><b>Contact Information</b><BR><BR>
Stephen J. Young<br>
Skiles Building, Room 139<br>
686 Cherry Street<br>
Georgia Institute of Technology<br>
Atlanta, Georgia 30332-0160<br>
Phone: 404-385-2468<br>
<a href=mailto:young@math.gatech.edu>young@math.gatech.edu</a> </p>
                          
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<b>Quiz Topics</b>

    <li> <b>Week 1 </b><i>August 20 - August 24</i> No Quizes</li>
    <li> <b>Week 2 </b><i>August 27 - August 31 </i>Propositional Logic, Logical Equivilance, Inferences</li>
    <li> <b>Week 3 </b><i>September 3 - September 7</i> Logical Argument, Basic Proofs, Induction</li>
    <li> <b>Week 4 </b><i>September 10 - September 14 </i>Induction, Strong Induction, Greatest Common Divisor</li>
    <li> <b>Week 5 </b><i>September 17 - September 21 </i>No Quizes</li>
    <li> <b>Week 6 </b><i>September 24 - September 28</i> Properties of the primes</li>
    <li> <b>Week 7</b> <i>October 1 - October 5 </i>Properties of the primes, modular arithmetic, modular identities</li>
    <li> <b>Week 8</b> <i>October 10 - October 12 </i>Chinese Remainder Theorem and Modular equations</li>
    <li> <b>Week 9</b> <i>October 15 - October 19 </i>Chinese Remainder Theorem and Modular equations, Euler totient function</li><BR><BR><BR>






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