MAT401H5 • Polynomial Equations and Fields

Commutative rings; quotient rings. Construction of the rationals. Polynomial algebra. Fields and Galois theory: Field extentions, adjunction of roots of a polynomial. Constructibiliy, trisection of angles, construction of regular polygons. Galois groups of polynomials, in particular cubics, quartics. Insolvability of quintics by radicals.

Priority is given to students enrolled in the Mathematics, Computer Science and Statistics Specialist or Major programs.
In Class
Mathematical Sciences