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Math 601 Syllabus, fall 2002

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Course=Basic Algebra
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Instructor=Sam Evens, evens.1@nd.edu, 631-7165, 277 Hurley.
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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.
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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.

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