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\title{Syllabus for Math 552 -- Introduction to Abstract Algebra}
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\begin{document}
\maketitle
%\section*{Course Information}
\noindent
{\textbf{Instructor:}} Mike Hill, Kerchof 213.\newline
{\textbf{Office Hours:}} M 3-4, T, W 4-5.\newline
{\textbf{Textbook:}} Adkins and Weintraub's {\textsl{Algebra: An Approach via Module Theory}}.\newline
{\textbf{Requirements:}} Attendance is mandatory, but will not be taken. Your grade will be determined by two things:
\begin{enumerate}
\item Homework assignments approximately every two weeks.
\item A final project, consisting of you speaking in front of the class for 10--15 minutes about a topic of your choosing. You will also have to write up a blurb about your talk on the course wiki.
\end{enumerate}

%\section*{Proposed Outline}


\begin{tabular}{|p{.8in}|p{2.75in}|p{.5in}|}
\hline
Date & Topic & Sections \\ \hline
Jan 17, 2008 & Introduction \& Set Theory & None \\ \hline
Jan 22, 2008 & Category Theory \& Groups & 1.1 \\ \hline
Jan 24, 2008 & Subgroup and Quotients & 1.2 \\ \hline
Jan 29, 2008 & Isomorphism Theorems & 1.3 \\ \hline
Jan 31, 2008 & Free Groups \& Functors & None \\ \hline
Feb 5, 2008 & Permutation Representations & 1.4 \\ \hline
Feb 7, 2008 & Sylow Theorems & 1.4 \\ \hline
Feb 12, 2008 & Products \& Examples & 1.6, 1.7 \\ \hline
Feb 14, 2008 & Symmetric Groups & 1.5 \\ \hline
Feb 19, 2008 & Symmetric Groups & 1.5 \\ \hline
\end{tabular}

%\noindent
\begin{tabular}{|p{.8in}|p{2.75in}|p{.5in}|}
\hline
Feb 19, 2008 & Rings & 2.1 \\ \hline
Feb 21, 2008 & Isomorphism Theorems II & 2.1, 2.2 \\ \hline
Feb 26, 2008 & Remainders \& Localization & 2.2, 2.3 \\ \hline
Feb 28, 2008 & Polynomials \& Examples & 2.4, 2.1 \\ \hline
Mar 11, 2008 & PIDs & 2.5 \\ \hline
\end{tabular}

\begin{tabular}{|p{.8in}|p{2.75in}|p{.5in}|}
\hline
Mar 13, 2008 & Modules & 3.1 \\ \hline
Mar 18, 2008 & Isomorphism Theorems III & 3.2 \\ \hline
Mar 20, 2008 & Exact Sequences \& Hom & 3.3 \\ \hline
Mar 25, 2008 & Free \& Projective Modules & 3.4, 3.5 \\ \hline
Mar 27, 2008 & Free Modules over a PID & 3.6 \\ \hline
Apr 1, 2008 & Finitely Generated Modules over a PID & 3.7 \\ \hline
Apr 3, 2008 & Finitely Generated Modules II & 3.7 \\ \hline
\end{tabular}

\begin{tabular}{|p{.8in}|p{2.75in}|p{.5in}|}
\hline
Apr 8, 2008 & Representation Theory & 8.1 \\ \hline
Apr 10, 2008 & Representations of Abelian Groups & 8.2\\ \hline
Apr 15, 2008 & Characters & 8.4 \\ \hline
Apr 17, 2008 & Presentations & Wiki \\ \hline
Apr 22, 2008 & Presentations & Wiki \\ \hline
Apr 24, 2008 & Presentations & Wiki \\ \hline
Apr 29, 2008 & Presentations & Wiki \\ \hline


\end{tabular}


\end{document}