Textbook:

Contemporary Abstract Algebra   6th edition
by Joseph A. Gallian, Houghton Mifflin Company

Course material and topics to be covered:

This course looks at a selection of topics from group theory, ring theory and field theory. It is assumed that students are comfortable with abstract material. The focus of the course is proving theorems based on the axioms for groups, rings and fields. Topics will include:

      Groups and subgroups

      Rings, fields, and other abstract algebras

      Homomorphisms

      Solutions of polynomial equations

      Field extensions

      Galois Theory

Note: For students taking this course as a graduate course there is an extra component. Click here for details.

Requirements for course:

     Class attendance and homework assignments

     Graded problem sets

     Midterm: tentative date: Thursday, October 18

     Final examination – week of Dec. 10

Calculator policy: You will not be allowed to use graphing calculators or cell-phones during the midterm and the final exam. A simple function calculator (add, sub, mult, div, square roots, etc.) is permitted.

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