Groups and rings. Permutations. Finite symmetry groups. Polynomials, unique factorization domains. Quotient rings, ideals. Field extensions, finite fields. Polynomial equations. Geometric constructions – three famous problems: duplication of the cube, trisection of an arbitrary angle, quadrature of the circle. Precludes additional credit for MATH 3106 and MATH 3158. Prerequisite(s): MATH 2108, or permission of the School.Lectures three hours a week and one hour tutorial.
Groups and rings. Permutations. Finite symmetry groups. Polynomials, unique factorization domains. Quotient rings, ideals. Field extensions, finite fields. Polynomial equations. Geometric constructions – three famous problems: duplication of the cube, trisection of an arbitrary angle, quadrature of the circle. Precludes additional credit for MATH 3106 and MATH 3158. Prerequisite(s): MATH 2108, or permission of the School.Lectures three hours a week and one hour tutorial.