Spring 2000
MT-A512 Graduate Algebra II
Syllabus, Assessment and Test Dates

Syllabus for Graduate Algebra II

Zorn's Lemma
Fields and Galois Theory: Field extensions: algebraic, finite, separable, normal. Finite fields, ruler and compass constructions, 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 and Computer Projects30%
2. Tests35%
3. Final Examination35%

Test Schedule

Test 1: Monday, February 14
Test 2: Take-home, handed out Monday, April 3, due Monday April 10
Final: Take-home, handed out Wednesday, April 19, due Monday May 8
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