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{\bf Math 436, Fall 1999}

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  {\bf PORTFOLIO}
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Your portfolio should have 
\begin{itemize}
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\item a table of contents,
\item an introduction,
\item 6-10
problems from the  homework assignments and the midterm,
\item concluding remarks. 
\end{itemize} 
The table of contents should
list
each of the problems.  
The introductory remarks should explain how you approached choosing
which
problems to include.  

For each of the problems, you should include
\begin{itemize}
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\item the original graded problem,
\item a completely correct {\bf very well written} solution of the
  problem,
\item a detailed explanation of why you chose the problem.
\end{itemize}
By {\bf very well written} I mean that you should imagine that you
have been asked to write a solution which will be incorporated as an
example in the next edition of the book.  Think about what you like to
see when you read an example in a math book and be sure to write your
solution to meet your criteria.  Your explanation for why you chose
the problem might include such things as 
\begin{itemize}
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\item what you learned from doing
it,
\item how it fit into the course,
\item why it seemed like a major accomplishment when you finally did
  it correctly,
\item how it made parts of the course fit together, 
\item why it suddenly
seemed
clear when you looked back at it six weeks after it was due on an
assignment,
\item how it fits in with other courses you have had.
\end{itemize}
Think carefully about what problems to include.  Your problems should
be chosen to demonstrate your understanding of the course and your
major accomplishments.    


Your concluding remarks should include a summary of what is in the
portfolio and what you have learned from putting it together.

The portfolio is due in final form on Monday, December 6.  A
preliminary version is due on Monday, November 12.  The preliminary
version should include at least four problems.


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