## VIGRE ALGEBRA QR REVIEW MATERIAL, FALL 2002

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Note: The materials are in reverse chronological order.

Problems, December 9 *
Summary of session, December 9

Problems, December 2 *
Summary of session, December 2

Problems, November 25 *
Summary of session, November 25

Tensor products and exterior algebra, and Problems,
November 18

Summary of session, November 18

Bilinear and quadratic forms, etc., and Problems,
November 4

Summary of session, November 4

Finite fields, and Problems, October 28

Summary of session, October 28

Similarity of matrices: rational and Jordan forms,
and Problems,
October 21

Summary of session, October 21

Modules and PIDs, and Problems, October 7

Summary of session, October 7

Galois Theory Summary and Problems, September 30
* Summary of session, September 30

Problems, September 23 *
Summary of session, September 23

Problems, September 16 *
Summary of session, September 16

An introduction to basic algebra,
which at this point
contains only some fundamental mathematics that is prerequisite and the
elements of group theory.
These notes are dedicated to the memory of Professor Jack McLaughlin,
and contain an appendix with quotations from his former students.
This is a very preliminary version that will be expanded to cover
more material. It is intended only for informal use by students
at the University of Michigan, and not for reference.