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mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} </style> <![endif]--> <meta name="CREATED" content="20060818;19513800"> <meta name="CHANGEDBY" content="Steven Bogaerts"> <meta name="CHANGED" content="20070628;14342100"> <!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="11266"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body style="background-color: white;" lang="EN-US" link="blue" vlink="purple"> <div class="Section1"> <h1 style="text-align: center;" align="center"><span style="">Discrete Mathematical Structures</span><span style="font-size: 16pt;"><br> Math 271</span><span style=""><br> </span><span style="font-size: 16pt;">Fall Semester 2009</span></h1> <div style="text-align: center;"><a href="courseinfo.html">Course Information</a><br> <br> <a href="assignments/assignments.html">Assignments</a><br> </div> <br> <div class="MsoNormal" style="text-align: center;" align="center"><span style=""> <hr align="center" size="2" width="100%"></span></div> <p><b><span style="font-size: 13.5pt;">Calendar / Syllabus</span></b></p> <p>This calendar provides:<br> </p> <ul> <li>For past dates, a record of what has taken place.</li> <li>For future dates, a rough estimation of what will be covered.&nbsp; Dates and/or future topics are subject to change.<br> </li> <li>Related readings.</li> <li>Announcements.<br> </li> </ul> <p>Please check this site once daily for updates and announcements. You should always feel free to contact me with any questions, comments, or concerns.</p> <p>Note that, although 16 weeks are listed, there are only 15 full weeks in the semester once fall and Thanksgiving breaks are accounted for.</p> <div align="center"> <table class="MsoNormalTable" style="width: 100%;" border="1" cellpadding="0" cellspacing="3" width="100%"> <col width="76*"><col width="1*"><col width="42*"><col width="118*"> <tbody> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="text-align: center;" align="center"><b><span style="font-size: 13.5pt;">Dates</span></b></p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p style="text-align: center;" align="center"><b><span style="font-size: 13.5pt;">Topics</span></b></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p style="text-align: center;" align="center"><b><span style="font-size: 13.5pt;">Related Readings</span></b></p> </td> <td style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p style="text-align: center;" align="center"><b><span style="font-size: 13.5pt;">Announcements</span></b></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 1<br> 8/24 - 8/28</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b>The Logic of Compound Statements</b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="font-size: 10pt;">- Welcome to Math 271!&nbsp; I hope you find it a rewarding learning experience.<br> - Be sure you look through this site. It contains important information.</span></p> <p><br> <span style="font-size: 10pt;"><o:p></o:p></span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p>- Course Introduction<br> <a href="lectures/DiscIntro.ppt">DiscIntro.ppt</a><br> - Logical Forms<br> <a href="lectures/chp01/chp01.ppt">Chp 1 slides</a><o:p></o:p></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p style=""><span style="">Epp 1.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p class="MsoNormal"><span style="font-size: 10pt;"><big><span style="">- Logical Forms</span></big><o:p></o:p></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 1.1<br> </span></p> </td> </tr> <tr style="height: 14.65pt;"> <td style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 9.7%; height: 14.65pt;" valign="top" width="9%"> <p style="">F</p> </td> <td style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 22.3%; height: 14.65pt;" valign="top" width="22%"> <p class="MsoNormal"><span style="font-size: 10pt;"><span style=""><big>- Conditional Statements</big></span></span><span style="font-size: 10pt;"><span style=""> </span><o:p></o:p></span></p> </td> <td colspan="2" style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 26.52%; height: 14.65pt;" valign="top" width="26%"> <p><span style="">Epp 1.2</span><span style="">&nbsp;</span><span style=""> <br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 2<br> 8/31 - 9/4<o:p></o:p></b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style=""></span></b><span style="font-weight: bold;">The Logic of Quantified Statements</span><br> </p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style="height: 13.3pt;"> <td style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 9.7%; height: 13.3pt;" valign="top" width="9%"> <p style="">M</p> </td> <td style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 22.3%; height: 13.3pt;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Valid and Invalid Arguments</span><br> a1.1 due</span><br> </span></p> </td> <td colspan="2" style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 26.52%; height: 13.3pt;" valign="top" width="26%"> <p><span style="">Epp 1.3<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="">- Valid and Invalid Arguments<br> - Predicates and Quantified Statements<br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 1.3, 2.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Math workshop presentation<br> - Predicates and Quantified Statements<br> <a href="lectures/chp02/chp02.ppt">Chp 2 slides</a><br> </span>a1.2 due</span>&nbsp;</span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 2.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 3<br> 9/7 - 9/11</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><span style="font-weight: bold;">The Logic of Quantified Statements<br> </span><b><span style=""><br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="color: black;"><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Predicates and Quantified Statements<br> - Statements Containing Multiple Quantifiers</span><br> a1.3 due</span></span></span><span style="color: red;"><o:p></o:p></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 2.2, 2.3<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(255, 0, 0);">Opening Convocation</span><br style="color: rgb(255, 0, 0);"> <span style="color: rgb(255, 0, 0);">Class meets 8:55 - 9:40<br> </span></span><span style="color: black;"><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Statements Containing Multiple Quantifiers<br> </span></span></span></span><span style=""><span style="color: rgb(255, 0, 0);"><span style="color: rgb(51, 51, 255);">a2.1 due</span><span style="color: rgb(0, 0, 0);"></span><br> </span> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 2.3<br> </span></p> </td> </tr> <tr style="height: 12.4pt;"> <td style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 9.7%; height: 12.4pt;" valign="top" width="9%"> <p style="">F</p> </td> <td style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 22.3%; height: 12.4pt;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Arguments with Quantified Statements</span><br> a2.2 due</span><br> </span></p> </td> <td colspan="2" style="border-style: inset inset none; border-color: -moz-use-text-color; border-width: 1pt 1pt medium; padding: 1.5pt; width: 26.52%; height: 12.4pt;" valign="top" width="26%"> <p><span style="">Epp 2.4<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 4<br> 9/14 - 9/18</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style="">Elementary Number Theory and Methods of Proof</span></b><b><span style=""><br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Arguments with Quantified Statements</span></span></span><br> <span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Direct Proof and Counterexample<br> <a href="lectures/chp03/chp03.ppt">Chp 3 slides</a><br> </span>a2.3 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 2.4, 3.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"></span>- Direct Proof and Counterexample<br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 3.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Direct Proof and Counterexample</span><br> a2.4 due</span></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 3.1, 3.2<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p style=""><b>Week 5<br> 9/21 - 9/25</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style="">Elementary Number Theory and Methods of Proof<br> </span></b><b><span style=""></span></b><b><span style=""><br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="">- Direct Proof and Counterexample: Rational numbers<br> - Divisibility<br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 3.2, 3.3<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Direct Proof and Counterexample: Divisibility</span><br> a3.1 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 3.3<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Division into Cases and the Quotient-Remainder Theorem</span><br> a3.2 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 3.4<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 6<br> 9/28 - 10/2</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style="">Elementary Number Theory and Methods of Proof</span></b><b><span style=""></span></b><b><span style=""></span></b><b><span style=""><br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">3.3 is the last section that will be on test #1.&nbsp; 3.4 will be on test #2.<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Division into Cases and the Quotient-Remainder Theorem</span></span></span><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);"></span><br> a3.3 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 3.4<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);">Test #1</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Indirect Arguments</span></span></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 3.6<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 7<br> 10/5 - 10/9</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style=""></span></b><b><span style="">Sequences and Mathematical Induction</span></b><br> <b><span style=""></span></b><b><span style=""><br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Sequences</span><br> a3.4 due</span></span><span style=""> <br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 4.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Mathematical Induction</span><br> a3.6 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 4.2, 4.3<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="">- Mathematical Induction<br> <span style="color: rgb(51, 51, 255);">a4.1 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 4.3<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 8<br> 10/12 - 10/16</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style=""></span></b><b><span style="">Set Theory<br> </span></b><b><span style=""><br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="">- Basic Set Theory<br> </span><span style=""><span style="color: rgb(51, 51, 255);">a4.2 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 5.1 <br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Set Theory</span><br style="color: rgb(0, 0, 0);"> <span style="color: rgb(0, 0, 0);">- Properties of Sets</span><br> </span></span></p> <p><span style=""><span style="color: rgb(51, 51, 255);">- a4.3 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 5.1, 5.2<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Properties of Sets</span></span></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 5.2<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 9<br> 10/19 - 10/23</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style="">Counting and Probability</span></b><b><span style=""><br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="color: blue;">Fall break<o:p></o:p></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Counting and Probability - Introduction</span><br> a5.1 due</span></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 6.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Possibility Trees and the Multiplcation Rule</span><br> a5.2 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 6.2<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 10<br> 10/26 - 10/30</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style="">Counting and Probability</span></b><b><span style=""><br> <br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">Test #2 can cover anything from the beginning of the semester up to and including 6.1.&nbsp; But the test will focus on 3.4 - 6.1.<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Counting Elements of Disjoint Sets</span><br> a6.1 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 6.3<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);">Test #2</span></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"></span>Class cancelled (sick)<br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 11<br> 11/2 - 11/6</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style=""></span></b><b><span style="">Counting and Probability</span></b><b><span style=""><br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Counting Subsets of a Set: Combinations</span><br> a6.2 due</span></span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 6.4<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Counting Subsets of a Set: Combinations<br> </span></span></span><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- r-Combinations with Repetition Allowed<br> </span></span></span><span style=""><span style="color: rgb(51, 51, 255);">a6.3 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 6.4, 6.5<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""></span><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- r-Combinations with Repetition Allowed<br> - The Algebra of Combinations<br> - The Binomial Theorem<br> </span></span></span><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Probability Axioms and Expected Value</span></span></span><br> </p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 6.5, 6.6 (skim), 6.7 (skim), 6.8<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 12<br> 11/9 - 11/13</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b><span style=""></span></b><b><span style="">Counting and Probability<br> Recursion<br> </span></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Probability Axioms and Expected Value<br> - Conditional Probability<br> </span>a6.4 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 6.8, 6.9<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="">- Conditional Probability, Bayes' Formula, and Independent Events<br> <span style="color: rgb(51, 51, 255);">a6.5 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 6.9<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Recursively Defined Sequences</span><br> a6.8 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 8.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 13<br> 11/16 - 11/20</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b style=""><span style="">Recursion<br> </span><o:p></o:p></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);">Class cancelled</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Solving Recurrence Relations by Iteration<br> <a href="lectures/chp8/RecurrenceRelations.ppt">RecurrenceRelations.ppt</a><br> </span>a6.9 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 8.2<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Solving Recurrence Relations by Iteration</span></span></span><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);"></span><br> a8.1 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 8.2<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 14<br> 11/23 - 11/27</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"><span style="font-weight: bold;">Relations</span><br> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Solving Recurrence Relations by Iteration<br> - Functions Defined on General Sets</span></span></span><i style=""><span style=""><br> </span><o:p></o:p></i></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 8.2, 7.1<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="color: blue;">Thanksgiving break<o:p></o:p></span></p> <p><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="Picture_x0020_2" o:spid="_x0000_s1036" type="#_x0000_t75" style='position:absolute;margin-left:0;margin-top:0;width:54pt;height:51.75pt; 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width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 15<br> 11/30 - 12/4</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><span style="font-weight: bold;">Relations<br> </span></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">The test covers everything through chapter 8.<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);"></span></span></span><span style="">- One-to-One and Onto, Inverse Functions<br> </span><span style=""><span style="color: rgb(51, 51, 255);">a8.2 due</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 7.2<br> </span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);">Test #3</span><br> </span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style=""><span style="color: rgb(51, 51, 255);"><span style="color: rgb(0, 0, 0);">- Relations on Sets<br> </span></span></span><span style="">- Reflexivity, Symmetry, and Transitivity</span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">Epp 10.1, 10.2</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Week 16<br> 12/7 - 12/11</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><b style=""><span style="">Graph Theory<br> </span><o:p></o:p></b></p> </td> <td rowspan="4" style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">M</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="">&nbsp;</span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">W</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="">&nbsp;</span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; width: 9.7%;" valign="top" width="9%"> <p style="">F</p> </td> <td style="padding: 1.5pt; width: 22.3%;" valign="top" width="22%"> <p><span style="">&nbsp;</span></p> </td> <td colspan="2" style="padding: 1.5pt; width: 26.52%;" valign="top" width="26%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><b>Finals Week</b></p> </td> <td colspan="3" style="padding: 1.5pt; background: rgb(214, 227, 188) none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><span style="">&nbsp;</span></p> </td> <td style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr style=""> <td style="padding: 1.5pt; background: white none repeat scroll 0% 50%; width: 9.7%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="9%"> <p><span style="">&nbsp;</span></p> </td> <td colspan="3" style="padding: 1.5pt; background: white none repeat scroll 0% 50%; width: 49.16%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" valign="top" width="49%"> <p><span style="">Final on Monday 12/14, 8:00 AM - 11:00 AM<br> </span></p> </td> <td style="padding: 1.5pt; width: 39.86%;" valign="top" width="39%"> <p><span style="">&nbsp;</span></p> </td> </tr> <tr height="0"> <td style="border: medium none ;" width="76"><br> </td> <td style="border: medium none ;" width="168"><br> </td> <td style="border: medium none ;" width="48"><br> </td> <td style="border: medium none ;" width="156"><br> </td> <td style="border: medium none ;" width="299"><br> </td> </tr> </tbody> </table> </div> <p>All materials (C) 2009 Steven Bogaerts unless otherwise noted.</p> </div> </body> </html>