Course Calendar and Homework Assignments for Math 335, Fall 2017

Date Section/Topic Reading Assignment Problems to be Presented in Class Written Hmw
F Aug 25 Introduction, Overview, A Review of Complex Numbers

Read sections 1 and 2.
Short Quiz on Monday

 Section 1: Due F, Sep 1
4,6,8,18,19,21,26,27,33-39,41

Section 1: Due M, Sep 4
14,17,40


M Aug 28 Section 2: Binary Operations Read Section 3. There is a typo in Defn 3.7 on page 29. Find and correct it. Section 2: Due F, Sep 1
1-11, 20-22,,26,34,35,37		 Section 2: Due M, Sep 4
23,24,28,36
W Aug 30 Section 3: Isomorphic Bin Structures Work on Presentation Problems Section 3: Due F, Sep 1
1-8, 11,14,25-29		 Section 3: Due M, Sep 4
12,16,31
F Sep 1 Student Presentations Read Section 4    

WEEK 2
M Sep 4 Section 4: Groups Read Section 5 Section 4: Due F, Sep 8
2,6,7,9,10,12,13,18,19,22,23,25,28,29,31,33-36		 Due M, Sep 11
Problems on sections 4 and 5.
W Sep 6 Section 5: Subgroups Work on Presentation Problems Section 5: Due F, Sep 8
1-9,13,18,19,24,26-29,36,39,40,51,52,54		  
F Sep 8 Student Presentations

Read Section 6

    
WEEK 3
M Sep11 Section 6: Cyclic Groups   Section 6: Due F, Sep 15
8-10, 15-20, 23, 28, 32-37, 40,41,49,51,52		 Due M, Sep 18
Problems on section 6.
W Sep13 Cyclic Groups cont.      
F Sep15 Student Presentations

Read Section 8

    
WEEK 4
M Sep18 Section 8: Permutation Groups   Section 8: Due F, Sep 22
4-8, 12, 16,18,20,21,24,26,32,35,36,40,48,49		 Due M, Sep 25
Problems on section 8.
W Sep20 Permutation Groups cont    

 
F Sep 22 Student Presentations Read Section 9    
WEEK 5
M Sep 25 Section 9: Orbits, Cycles, and AG   Section 9: Due F, Sep 29
2-5,8-10,12,13,16,18,23,29-34,36		 No Written Hmw
W Sep27 Sect 9 cont.
Take Home exam distributed

      
F Sep29 Student Presentations      
WEEK 6
M Oct 2 Exam 1      
W Oct 4 Computer Exploration Read Section 10    
F Oct 6 October reading day      
WEEK 7
M Oct 9 Section 10: Cosets   Section 10: Due F, Oct 13
4,8,12,14,16-19,28-30,32-36,38,39		 Due M, Oct 16
Problems on section 10.
W Oct 11 Section 10: Lagrange's Theorem      
F Oct 13 Student Presentations Read Section 11    
WEEK 8
M Oct 16 Section 11: Direct Product Groups   Section 11: Due F, Oct 20
Thm 11.15, 11.16, 11.7; 6,8,14,18,20,24,27,29,32,36,39,40,42,44,47-49,53		 Due M, Oct 23
Problems on section 11.
W Oct 18 Section 11: Fund Thm FGAG      
F Oct 20 Student Presentations

Read Section 13

    
WEEK 9
M Oct 23 Section 13: Homomorphisms   Section 13: Due F, Oct 27
2,4,5,8-10,18,19,24,28,29,32,33,36,38,44,50,51
 Due M, Oct 30
Problems on section 13.
W Oct 25 Section 13 cont      
F Oct 27 Student Presentations Read Section 14    
WEEK 10
M Oct30 Section 14: Factor Groups   Section 14: Due F, Nov 3
2,6,7,12,17-23,26,30-34,36-38		 Due M, Nov 6
Problems on section 14.
W Nov 1 Section 14: Fund Hom Theorems      
F Nov 3 Student Presentations Read Section 15    
WEEK 11
M Nov 6 Section 15: Factor Group Comp & Simple Groups   Section 15: Due F, Nov 10
Thms 15.18, 15.20, 2,10,11,13,19,27,28,31,34-38,42		 No written hmw
W Nov 8

Section 15 cont.
Take home exam distributed

   An article of interest: An Elementary Approach to the Monster.  
F Nov 10 Student Presentations      
WEEK 12
M Nov 13 Exam II Read Section 16    
W Nov 15 Section 16: Group Actions   Bring laptop to class on Friday  
F Nov 17 Sectin 16/Computer explorations Read Sections 17 and 34 Section 16: Due F, Dec 1
Conjecture in GAP handout, 1-8, 10-13 in section 16.		  

THANKSGVING BREAK
M Nov 27 Section 17: G-sets and Counting   Section 17: Due F, Dec 1
1-4		 Due M, Dec 4
This hmw set has double weight
W Nov 29 Section 34: Isomorphism Theorems   Section 34: Due F, Dec 1
3,6,8,9		  
F Dec 1 Student Presentations Read Section 36    
WEEK 14
M Dec 4 Section 36: Sylow Theorems

 

    
W Dec 6 Section 36: Sylow Theorems      
F Dec 8

Section 37: App of Sylow Theory
Take home final distributed

     Final Exam: Thu, Dec 14, 6:30 pm