Homework assignments to turn in.
|Due Date||Topics||Problem Set (.pdf)|
|Fri. 9/23|| Homomorphisms of rings,
associates and ideals,
|Mon. 10/3|| Derivatives, repeated roots,
|Wed. 10/12|| Euclidean domains and the Gaussian integers,
extension fields, finite fields.
|Wed. 10/26|| Criteria for irreducibility,
roots of a cubic polynomial,
algebraic, separable and purely inseparable extensions.
|Mon. 11/21|| Normal subgroups.
Free abelian groups.
|Mon. 12/12||Galois groups and
Galois field extensions,