Mathematics 333 - TOPICS IN ABSTRACT ALGEBRA

Topics course In high school algebra you learned a formula for finding the roots of a quadratic equation. The advanced algebra courses you have had in college probably seemed to have very little in common with that early goal. In this course we return to the problem of how to factor a polynomial. Our work requires learning about the algebraic structures rings and fields. This course begins with the fundamentals of rings and fields and then cover extension fields and Galois theory. Finally, using all this structure we are able to understand fully how to factor polynomials and find their roots. Prerequisite: MTH 233

Topic: Galois Theory.