Mathematics 5332 Abstract Algebra II Schedule/Homework
Fall 2009
Date 
Section/Topic 
Homework 
8/24/09  Algebraic FoundationsGroups  Hw # 1 
8/26/09  Algebraic FoundationsGroup homomorphisms and rings  HW # 2 
8/31/09  Algebraic FoundationsQuotient rings  HW # 3 
9/2/09  Algebraic FoundationsPolynomials  HW # 4 
9/7/09  Algebraic FoundationsField extensions  HW#5 Review vector spaces 
9/14/09  Algebraic FoundationsSimple Extensions  HW # 6 
9/16/09 
Algebraic FoundationsSplitting fields Classwork 
HW # 7 
9/21/09  Structure of finite fields 
HW # 8 HW # 9 Due On 9/30 2.3, 3.1 (ii), 3.2 (ii), 4.1, 6.3, 7.1,7.2, 7.3, 7.4 
9/30/09  Class presentationsSections 17  
10/5/09  Structure of finite fields  HW # 10 
10/7/09  Roots of irreducible polynomials  HW # 11 
10/12/09  Trace  HW # 12 
10/14/09 
Norm Click here for the link to the page mentioned in class. 
HW # 13 
10/19/09  Basis of field extensionsI  HW # 14 
10/21/09 
Basis of field extensionsII First project Report Due 
HW # 15 
10/26/09  Cyclotomic extensions  HW # 16 
10/28/09  Class presentationsSections 1011  HW # 17 
11/02/09 
Class presentationsSections 1215 Dual basis computation 
HW # 18 
11/04/09  Roots of unity in finite fields  HW # 19 
11/09/09 
Primitive roots of unity; Representation of elements of finite fields, I Second project Report Due 
HW # 20 
11/11/09 
Representation of elements of finite fields, II Cyclotomic polynomials and Wedderburn's Theorem 
HW # 21 
11/16/09  Order of polynomials and Primitive polynomials  HW # 22 
11/18/09 
Irreducible polynomials Third project Report Due 
HW # 23 
11/23/09 
Class presentationsTheoretical applications of Finite Fields Angie BrownFinite Geometries Stephanie LaneCombinatorics 

11/25/09  Class presentations/discussion  
11/30/09 
Class presentations Linlin ChenLinear Modular Systems David CarrenoLinear Codes 

12/02/09 
Class presentations Scott LacyCyclic Codes Kelly AmanGoppa Codes 

12/07/09 
Final ExamClass presentations Justin SanchesCryptology Daniel DawsonStream Cyphers Justin Ahrens Further Cryptosystems 