189-370A: Algebra III

Course Description

• INSTRUCTOR: Professor J. Labute -- BH 1112, Office Hours: MWF 10:30-12:30.
• TEXT: D. Dummit and R. Foote, Abstract Algebra.
• REFERENCE: N. Jacobson, Basic Algebra I.
• SYLLABUS: Introduction to monoids, groups, permutation groups; the isomorphism theorems for groups; the theorems of Cayley, Lagrange and Sylow; the structure of groups of low order. Introduction to ring theory; integral domains, fields, quotient field of an integral domain; polynomial rings, unique factorization domains. Introduction to modules and algebras.
• ASSIGNMENTS: There will be bi-weekly assignments.
• MIDTERM TEST: There will be one class test which will be held toward the end of October.
• FINAL EXAM: There will be a three hour final exam; no calculators will be allowed.
• GRADING: If A = assignment mark, T = test mark, E = exam mark and F = final mark (all out of 100), then F is the larger of E and .2A + .2T + .6E.