Spring 2006
MATH-512 Graduate Algebra II
General Information, Syllabus, Assessment and Test Dates
Objectives
To gain additional knowledge of basic abstract algebra concepts, to further develop techniques of precise mathematical proof, and to further develop clarity of thought regarding the abstract algebra concepts studied through examples and theorems.
Syllabus for Graduate Algebra II
Major topics are listed; other topics will be covered. - Fields and Galois Theory: fundamental theorem of Galois theory, cyclotomic extensions, solvability by radicals, symmetric functions, computation of Galois groups of cubics and quartics, transcendental extensions
- Modules: Introduction, direct sums, free modules, modules over principal ideal domains and/or other topics from module theory
Assessment| 1. | Homework | 30% | | 2. | Tests | 35% | | 3. | Final Examination | 35% | Test Schedule
Test 1: Monday, February 13
Test 2: Take-home, handed out Monday March 27, due Monday April 3
Final: Take-home, handed out Wednesday April 26, due Friday May 12 |