Math 370
Math 370
ALGEBRA
This is the first half of a year long course in algebra,
with emphasis on the ways in which algebra and geometry interact and
complement each other. We
will cover some abstract linear algebra (vector spaces and linear
transformations), groups and group actions and symmetry.
This corresponds more or
less to the following sections
from Artin's book: 1.1--1.5, 2.1--2.10, 3.1--3.6,
4.1--4.6, 5.1--5.3, 5.5--5.8, 6.1--6.4, 6.6--6.8.
A basic goal of the course is to use the abstract theory to develop
an intuition in concrete examples and learn to understand
and produce sound mathematical arguments.