The schedule refers to the homework; the lectures will run ahead. Course topical outline Date Topics HW Assignments Aug Operations 2/A, B, C 18 Aug Why Abstract 20 Algebra Aug Definition of Groups 3/A,B,C*,E*,F*,G* 25 Aug Elementary 4/A,B,C*,D,E*,F*,G 27 Properties Sep 3 Subgroups 5/A,B,C,D*,E*,F*,H* Sep 8 Functions 6/A,B,C,D,E,F*,G* Sep Permutation Groups 7/A,B,C,D*,F*,G,H* 10 Sep Permutations of 8/A,B,C,D,E*,F*,G*,H* 15 Finite Sets Sep Isomorphism 9/A,B,C,D,G*,I*,J* 17 Sep Test 1 22 Sep The Integers 21/A,B*,C,E,F*,G,H 24 Sep Factoring into 22/A,B*,C*,D*,E*,F* 29 Primes Oct 1 Order of Elements 10/A*,B,C,D,E*,F,G* Oct 6 Cyclic Groups A,B,*,C*,D,E* Oct 8 Partitions, A,B,C,D* Equivalence W DEADLINE October 10 Oct Counting Cosets A,B,C*,D*,E,F*,G*,H*,I*,K* 13 Oct Homomorphisms A,B,C*,D,E*,F*,G,H*,I* 15 Oct Quotient Groups A,B,C*,D*,E*,F,G*,H 20 Oct Fundamental A,B,C,D*,E,F*,G*,H,I*,J*,K*,L*, 22 Theorem M,N,O,P,Q Oct and Review 27 Oct Test 2 29 Nov 3 Rings A,B,C,D,E,F,G,H*,I*,J* Nov 5 Ideals and A,B,C*,D*,E,F*,G,H,I Homomorphisms
The schedule refers to the homework; the lectures will run ahead. Course topical outline Date Topics HW Assignments Aug 18 Operations 2/A, B, C Aug 20 Why Abstract Algebra Aug 25 Definition of Groups 3/A,B,C*,E*,F*,G* Aug 27 Elementary Properties 4/A,B,C*,D,E*,F*,G Sep 3 Subgroups 5/A,B,C,D*,E*,F*,H* Sep 8 Functions 6/A,B,C,D,E,F*,G* Sep 10 Permutation Groups 7/A,B,C,D*,F*,G,H* Sep 15 Permutations of Finite Sets 8/A,B,C,D,E*,F*,G*,H* Sep 17 Isomorphism 9/A,B,C,D,G*,I*,J* Sep 22 Test 1 Sep 24 The Integers 21/A,B*,C,E,F*,G,H Sep 29 Factoring into Primes 22/A,B*,C*,D*,E*,F* Oct 1 Order of Elements 10/A*,B,C,D,E*,F,G* Oct 6 Cyclic Groups A,B,*,C*,D,E* Oct 8 Partitions, Equivalence A,B,C,D* W DEADLINE October 10 Oct 13 Counting Cosets A,B,C*,D*,E,F*,G*,H*,I*,K* Oct 15 Homomorphisms A,B,C*,D,E*,F*,G,H*,I* Oct 20 Quotient Groups A,B,C*,D*,E*,F,G*,H Oct 22 Fundamental Theorem A,B,C,D*,E,F*,G*,H,I*,J*,K*,L*, M,N,O,P,Q Oct 27 and Review Oct 29 Test 2 Nov 3 Rings A,B,C,D,E,F,G,H*,I*,J* Nov 5 Ideals and Homomorphisms A,B,C*,D*,E,F*,G,H,I
201408-(82653)-MAS%204301-001%20Modern%20Algebra-Hoffman,%20Frederick.docx