Algebra II
Math 504 - Spring 2014
Course Policy
If you attend less than %60 percent of classes than you may receive NA. Only one make-up examination will be offered. The excuse for not attending an examination must be proved with documents. The make-up examination will take place shortly after the final exam.
Homeworks (%40)
Homework 1 (due March 5)
Homework 2 (due March 12)
Homework 3 (due March 26)
Homework 4 (due April 16)
Homework 5 (due April 30)
Homework 6 (due May 21)
Exams (%30 + %30)
Midterm, April 16
Final, May 30
Textbook and Reference
Textbook: Hungerford - Algebra
Reference: Dummit, Foote - Abstract Algebra
Course Outline
Modules: Modules, homomorphisms and exact sequences. Free modules and vector spaces. Projective and injective modules. Tensor products. Modules over a PID.
Fields: Field extensions. The fundamental theorem of Galois theory. Splitting fields, algebraic closure and normality. Finite fields. Seperability. Cyclic, cyclotomic and radical extensions.