MCS-313, Abstract Algebra
Spring 2004

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Reading and Writing Assignments

Date: Chapter: Topic: Practice Problems: Portfolio Problems: Honor Problems:
Feb. 10 0 pp3-8  GCD  4 (2/13)  8 (2/17)  10 (2/20) 
Feb. 12 0 pp8-14  Mod  3 (2/13)  13 (2/17)   
Feb. 13 0 pp14-17  Induction  20 (2/16) 26 (2/17)   
Feb. 16 0 pp17-22  Equivalence Relations    48 (2/23)   
Feb. 17 1,2 pp42-50  Groups, examples  2 Examples 11, 19  2.35(2/24)   
Feb. 19 2 pp50-53  Properties  2.25 (2/19)  2.16, 2.19 (2/24)  2.17 (2/27) 
Feb. 20 Finite Groups  3.1  3.4, 3.42 (3/1)   
Feb. 23 Subgroups  3.14 (2/23)  3.20 (3/1)   
Feb. 24 center, centralizers etc.       
Feb. 26 Cyclic groups       
Feb. 27 Cyclic groups    14, 54 (3/8)  33 with explanation (3/8) 
Mar. 1 Cyclic groups  10, 45     
Mar. 2 cyclic groups       
Mar. 4 Permutations       
Mar. 5 symmetric group    18, 42 (3/15)   
Mar. 8 alternating group       
Mar. 9 no class         
Mar. 11 Z(S_n), Z(A_n)       
Mar. 12 15 puzzle       
Mar. 15 Review         
Mar. 16 No Class, Test 1         
Mar. 18 6   Isomorphisms   10, 20, 22, 33 (3/26)  30 (use Ch. 5 #10) (3/30) 
Mar. 19 6   Cayley's Theorem  4, 5     
Mar. 22 6   Automorphisms       
Mar. 23 7   Cosets    8, 22, 34 (4/16)    
Mar. 25 Lagrange's Theorem       
Mar. 26 Applications of Lagrange       
Mar. 29 Orbits, stabilizers       
Mar. 30 Direct Products  8, 12, 20  22, 36, 48 (4/19)   
Apr. 1 Cyclic Direct Products       
Apr. 2 Applic. Dir. Prod.       
Apr. 13 Normal subgroups       
Apr. 15 Factor groups  10, 12, 23  38, 41, 48 (4/23)   
Apr. 16 Factor groups       
Apr. 19 Factor groups       
Apr. 20 Factor groups       
Apr. 22 10  Homomorphisms       
Apr. 23 10  Properties of Homomorphisms       
Apr. 26 10  Isomorphism Theorems   18, 20, 52 (4/30)  42 (5/3) 
Apr. 27 10  Isomorphism Theorems      
Apr. 29 11  FTFAB       
Apr. 30 11  FTFAB    10, 26 (external only) (5/17)   
May 3 24  Sylow Theorems       
May 4 24  Sylow Theorems    12, 22 (5/17)   
May 6 12  Rings  2, 3, 18     
May 7 12  Rings    18, 42   
May 10 13  Domains       
May 11 13  Domains    20, 26   
May 13 13  Rings/Domains work day       
May 14 14  Ideals and Factor Rings       
May 17 14  Ideals and Factor Rings       
May 18 Last Day         

 
 
 

Last modified: 5/14/04