Course Calendar and Homework Assignments for Math 335, Fall 2019

Date Section/Topic Reading Assignment Problems to be Presented in Class Written Hmw
F Aug 30 Introduction, Overview, A Review of Complex Numbers

Read sections 1 and 2.
Short Quiz on Monday

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

Section 1: Due M, Sep 9
14,17,40


M Sep 2 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 6
1-11, 20-22,,26,34,35,37		 Section 2: Due M, Sep 9
23,24,28,36
W Sep 4 Section 3: Isomorphic Bin Structures Work on Presentation Problems Section 3: Due F, Sep 6
1-8, 11,14,25-29		 Section 3: Due M, Sep 9
12,16,31
F Sep 6 Student Presentations Read Section 4    

WEEK 2
M Sep 9 Section 4: Groups Read Section 5 Section 4: Due F, Sep 13
2,6,7,9,10,12,13,18,19,22,23,25,28,29,31,33-36		 Due M, Sep 16
Problems on section 4 and 5.
W Sep 11 Section 5: Subgroups Work on Presentation Problems Section 5: Due F, Sep 13
1-9,13,18,19,24,26-29,36,39,40,51,52,54		  
F Sep 13 Student Presentations

Read Section 6

    
WEEK 3
M Sep16 Section 6: Cyclic Groups   Section 6: Due F, Sep 20
8-10, 15-20, 23, 28, 32-37, 40,41,49,51,52		 Due M, Sep 23
Problems on section 6.
W Sep 18 Cyclic Groups cont.   Additional presentation problem due Fri, Sep 20.  
F Sep 20 Student Presentations

Read Section 8

    
WEEK 4
M Sep 23 Section 8: Permutation Groups   Section 8: Due F, Sep 27
4-8, 12, 16,18,20,21,23,26,32,35,36,40,44,48,49		 Due M, Sep 30
Problems on section 8.
W Sep 25 Permutation Groups cont    

 
F Sep 27 Student Presentations Read Section 9    
WEEK 5
M Sep 30 Section 9: Orbits, Cycles, and AG   Section 9: Due F, Oct 4
2-5,8-10,12,13,16,18,23,29-34,36. For 31, show H is a subgroup of S_A (rather than S_n)		 No Written Hmw
W Oct 2 Sect 9 cont.
Take Home exam distributed

      
F Oct 4 Student Presentations      
WEEK 6
M Oct 7 Exam 1      
W Oct 9 Computer Exploration Read Section 10    
F Oct 11 October reading day      
WEEK 7
M Oct 14 Section 10: Cosets   Section 10: Due F, Oct 18
4,8,12,14,16-19,28-30,32-36,38,39		 Due M, Oct 21
Problems on Section 10.
W Oct 16 Section 10: Lagrange's Theorem      
F Oct 18 Student Presentations Read Section 11    
WEEK 8
M Oct 21 Section 11: Direct Product Groups   Section 11: Due F, Oct 25
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 28
Problems on Section 11.
W Oct 23 Section 11: Fund Thm FGAG      
F Oct 25 Student Presentations

Read Section 13

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

Section 15 cont.
Take home exam distributed

   An article of interest: An Elementary Approach to the Monster. Progress report on the classification project.  
F Nov 15 Student Presentations      
WEEK 12
M Nov 18 Exam II Read Section 16    
W Nov 20 Section 16: Group Actions   Bring laptop to class on Friday  
F Nov 22 Sectin 16/Computer explorations Read Sections 17 and 34 Section 16: Due F, Dec 6
Conjecture in GAP handout, 1-8, 10-13 in section 16.		  

THANKSGVING BREAK
M Dec 2 Section 17: G-sets and Counting   Section 17: Due F, Dec 6
1-4		 Due M, Dec 9
This hmw set has double weight.
W Dec 4 Section 34: Isomorphism Theorems   Section 34: Due F, Dec 6
3,6,8,9		  
F Dec 6 Student Presentations (sections 16,17,34) Read Section 36    
WEEK 14
M Dec 9 Section 36: Sylow Theorems

 

    
W Dec 11 Section 36: Sylow Theorems      
F Dec 13

Section 37: Appl. of Sylow Theory
Take home final distributed

     Final Exam: Mon, Dec 16, 6:30 pm