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\title{\LaTeX~Exercise 2, 18.100C}
\date{March 18, 2011}
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\begin{center}
Due on the Stellar website by 11:59\textsc{p.m.}~on \textbf{Thursday}, March 31; \LaTeX~source and compiled document (in \texttt{.pdf} format) required.
\end{center}

\begin{problem}
Creat a simple \texttt{beamer} presentation consisting of two slides.  The first should include a title of your choosing and all the usual author/institution/date information.  The second slide should consist of a heading and then a graphic made in \texttt{ipe} illustrating Corollary 3.9.9 from Professor Barwick's course notes in the special case in which $X$ is a compact subset of the real line.\footnote{If you feel like having more fun with \texttt{ipe} or other \LaTeX~graphics utilities, you are free to attempt a more abitious graphic.}  Your graphic \textbf{must} include \LaTeX'd labels.

For reference, here is the statement of 3.9.9:

\emph{Suppose $X$ a compact space, and suppose $f:X\to \mathbf{R}$ a continuous function.  Then $f$ attains both a maximum and a minimum value; that is, there exist elements $a,b\in X$ such that for any $x\in X$, one has $f(a)\le f(x)\le f(b)$.}
\end{problem}

\begin{problem}
During April 1's recitation, we will hold a question discussion in preparation for the second exam.  A link to a Google Document is available on Stellar under the assignment ``Two Precise Questions 4/1."  Please add two precise questions to the end of the document and sign each question in the format [K.O.], substituting your first initial for K and last initial for O.

Of course, Google Docs does not support \LaTeX.  Mathematicians frequently communicate in email with semi-\TeX'd text.  So write your questions as if they were going to be processed by \LaTeX, but drop things like dollar signs that would clutter the text.

Please access the document on the morning of April 1 to review your peers' questions.
\end{problem}

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