\documentclass[11pt]{article}
\usepackage{graphicx}
\usepackage{amssymb}
\usepackage{epstopdf}
\DeclareGraphicsRule{.tif}{png}{.png}{`convert #1 `dirname #1`/`basename #1 .tif`.png}
\textwidth = 6.5 in
\textheight = 9 in
\oddsidemargin = 0.0 in
\evensidemargin = 0.0 in
\topmargin = 0.0 in
\headheight = 0.0 in
\headsep = 0.0 in
\parskip = 0.2in
\parindent = 0.0in
\newtheorem{theorem}{Theorem}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{definition}{Definition}
\begin{document}
Math 601 Syllabus, fall 2002
\par\noindent
Course=Basic Algebra
\par\noindent
Instructor=Sam Evens, evens.1@nd.edu, 631-7165, 277 Hurley.
\par\noindent
Text:I will use a combination of a web--based text in graduate
algebra used at the University of Illinois by Robert Ash
available at www.math.uiuc.edu/~r-ash/ and the book by
Serge Lang called ``Algebra, 3rd edition'', which is #211 in
the Springer graduate texts in mathematics series.
Ash is a coherent introduction to the subject which is relatively
accessible even without a strong undergraduate algebra
background, and is essentially free. I have found Lang
to be an excellent reference with lots of interesting mathematics
explained well. It requires a stronger background, and isn't
cheap. Both cover the essential material of the course, and
I would encourage students to try both and see which they prefer.
\
During the first semester, we will cover group theory, including
Sylow theorems and solvable and nilpotent groups; ring theory and
modules, including unique factorization rings and the structure
theorem for modules over a principal ideal domain; and fields.
\
Second semester (math 602), we will cover Galois theory, projective
and injective modules, and probably some commutative algebra and
perhaps some basic representation theory.
\end{document}