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<title>Math 541 Fall 2007 Homework 4</title>
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              <img src="http://www.math.wisc.edu/~ram/UW_logo_150.gif" alt="University of Wisconsin-Madison" border="0" height="150" vspace="2" width="150" /><br />
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          <h5 align="center"><a href="http://www.wisc.edu/">University of Wisconsin-Madison </a><br />
              <a href="http://www.math.wisc.edu/">Mathematics
                Department</a></h5></td>
      <td align="center" valign="middle"><h2> Math 541 <br />
        Modern Algebra <br />
        A first course in Abstract Algebra<br />
        Lecturer: <a href="http://www.math.wisc.edu/%7Eram">Arun Ram </a> </h2></td>
      <td><h3>
        <large>
          <div align="center">Fall 2007</div>
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          <h3></h3></td>
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<h2 align="center">&nbsp;</h2>
<h2 align="center">Homework 4: Due October 3, 2007 </h2>
<p align="center">&nbsp;</p>

<ol>
<li> <p>Make a detailed outline of the course so far.
</p>
</li>
<li> <p>Make up a 75min Midterm 1 for this course.
</p>
</li>
<li> <p>Make a list of all vocabulary so far in this class.
</p>
</li>
<li> <p>What is the correct grammar for a definition and why? 
for a noun? for an adjective? for a condition in a definition?
Give appropriate examples.
</p>
</li>
<li> <p>Write the definition of each term 3 times.
</p>
</li>
<li> <p>What are the examples which have appeared so far in this course?
</p>
</li>
<li> <p>Give and example and a non example for each definition term.
</p>
</li>
<li> <p>What are the theorems/facts in the course so far?
</p>
</li>
<li> <p>How does proof machine work?  What are the words which appear in a
proof?
</p>
</li>
<li> <p>What are the types of proofs?
For each type of proof, what is its structure?
</p>
</li>
<li> <p>Write a proof machine proof of each theorem/fact which we've
had so far in this course.  Do each one at least twice.
</p>
</li>
</ol>

    

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