\documentclass[10pt]{amsart}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{local}

\begin{document}
\filename
\section{Table Examples}

\subsection{Example 1}

Here is our first example:
\bigskip
\renewcommand{\arraystretch}{1.5}

\begin{tabular}{|r||c|c|c|c|c|c|c|}
    \hline
    {\bf TIME} & 9-10 & 10-11 & 11-12 & 12-1 & 1-2 & 2-3 & 3-4 \\
    \hline
    \hline
    {\sc Sun.} & \multicolumn{7}{c|}{sleep}\\
    \hline
    {\sc Mon.} & Analysis & Topology & Alg. Geometry & \multicolumn{2}{c|}{Lunch} & Algebra & \\
    \hline
    {\sc Tu.}  &  \multicolumn{3}{c|}{\em grading!}  & \multicolumn{2}{c|}{Lunch} &   \multicolumn{2}{c|}{CFT.} \\
    \hline
    {\sc Wed.} & Analysis & Topology & Alg. Geometry & \multicolumn{2}{c|}{Lunch} & Algebra & \\
    \hline
    {\sc Thu.} &  \multicolumn{3}{c|}{\em grading!}  & \multicolumn{2}{c|}{Lunch} &   \multicolumn{2}{c|}{CFT.} \\
    \hline
    {\sc Fri.} & Analysis & Topology & Alg. Geometry & \multicolumn{2}{c|}{Lunch} & Algebra & \\
    \hline
    {\sc Sat.} & \multicolumn{7}{c|}{$\mathfrak{party!!}$} \\
    \hline
\end{tabular}

\subsection{Example 2}

And here is the second.  Can you figure out what the mysterious \verb=\rb= command does?  Hint: reformat the table {\em without} it.

\bigskip
\renewcommand{\arraystretch}{1.3}
\newcommand{\rb}[1]{\raisebox{1.5ex}[0pt]{#1}}

\begin{tabular}{|c||c|c|c|c|c|c|}

    \hline

             & \multicolumn{2}{c|}{9:10--10:00 am} & \multicolumn{2}{c|}{10:10--11:00 am} & \multicolumn{2}{c|}{ 11:10--12:00 pm} \\
    \cline{2-7}
             &            & Teacher        &            & Teacher         &               &   Teacher \\
    \cline{3-3}\cline{5-5}\cline{7-7}
    \rb{Day} & \rb{Subj.} & Room           & \rb{Subj.} & Room            & \rb{Subj.}    &   Room    \\
    \hline
    \hline
             &                 & Barrett   &                & Lott      &                    &   Hacking  \\
    \cline{3-3}\cline{5-5}\cline{7-7}
    \rb{Mon.} & \rb{Analysis.} & 3088 EH.  & \rb{Topology.} & 4096 EH.  & \rb{Geometry.}&   2074 EH.    \\
    \hline
             &                 & Barrett   &                & Lott      &                    &   Hacking  \\
    \cline{3-3}\cline{5-5}\cline{7-7}
    \rb{Wed.} & \rb{Analysis.} & 3088 EH.  & \rb{Topology.} & 4096 EH.  & \rb{Geometry.}&   2074 EH.    \\
    \hline
             &                 & Barrett   &                & Lott      &                    &   Hacking  \\
    \cline{3-3}\cline{5-5}\cline{7-7}
    \rb{Fri.} & \rb{Analysis.} & 3088 EH.  & \rb{Topology.} & 4096 EH.  & \rb{Geometry.}&   2074 EH.    \\
    \hline
\end{tabular}

\end{document}
