Course Calendar and Homework Assignments for Math 435, Spring 2018

Date Section/Topic Reading Assignment Problems to be Presented in Class Written Hmw
M, Jan 15 18: Intro Rings Read Section 18 Section 18: Due F, Jan 19
6,12,18,23,27,28,32,33,37,38,40-42,44,48,55		 Due M, Jan 22
Problems on Section 18.
W, Jan 17 18: Rings and Fields continued      
F, Jan 19 Student Presentations Read Section 19    
WEEK 2
M, Jan 22 19: Integral Domains Read Section 20 Section 19: Due F, Jan 26
Last Page of handout, 2,4,14,15-17,23,25,28,30		 Section 19: Due M, Jan 29
18,26,29
W, Jan 24 20: Fermat's and Euler's Theorems   Section 20: Due F, Jan 26
Last Page of handout, 6,8-10,23,24		 Section 20: Due M, Jan 29
2,27,28. Calling it "Wilson's Thm" is misleading. Find out who first stated it and when.
F, Jan 26 Student Presentations

Read Section 21

    
WEEK 3
M, Jan 29 21: Field of Quotients of an Int Dom Read Section 22 Section 21: Due F, Feb 2
1，6，11		 Section 21: Due M, Feb 5
2,4 (provide explanations for False statements)
W, Jan 31 22: Rings of Polynomials   Section 22: Due F, Feb 2
4,6,8,11,22-25,28,30		 Section 22: Due M, Feb 5
16,20,27
F, Feb 2 Student Presentations

Read Section 23

    
WEEK 4
M, Feb 5 23: Factorization of Polynomials    Section 23: Due F, Feb 9
4,8,9,12,14,16-18,20,25,26,28,29,31,34-37. Correction in 25f: F[x] --> F(x)		 No Written Hmw
W, Feb 7 23 continued Take-home exam distributed  

 
F, Feb 9 Student Presentations      
WEEK 5
M, Feb 12 Exam I Read Section 26    
W, Feb 14 26: Ideals and Factor Rings   Section 26: Due F, Feb 16
3,4,8-16,21-23, 26,29-31, 34,35		 Section 26: Due M, Feb 19
17,18,20,24,25,37
F, Feb 16 Student Presentations Read Section 27    
WEEK 6
M, Feb 19 27: Prime and Maximal Ideals   Section 27: Due F, Feb 23
8-14,16,24-32,34,35,37		 Due M, Jan 26
Problems on Section 27.
W, Feb 21 27 continued      
F, Feb 23 Student Presentation Read Section 45    
WEEK 7
M, Feb 26 45: UFD's   Section 45: Due M, March 19
1-9, 14, 18-22,24,27-29,31,34		 Section 45: Due W, March 21
10,25,26,30
W, Feb 28 45 continued Read Section 46    
F, Mar 2 46: Euclidean Domains   Section 46: Due W, March 21
1,2,7-13,17,20,21		 Section 46: Due W, March 21
15,16,22,23

SPRING BREAK
WEEK 8
M, Mar 19 Student presentation sections 45      
W, Mar 21 Student presentation sections 45 and 46 Read PSP 1-9    
F, Mar 23 PSP: pages 1-9

 

   Hmw 7: Due Wed, March 28
WEEK 9
M, Mar 26 PSP: Show that Z[i] is a ED.  
 
W, Mar 28 PSP: Pages 9-14. Some anomalies to discuss      
F, Mar 30 PSP: Pages 14-30. Resolution.     Hmw8: Due Wed, Apr 4: Tasks 24,25
WEEK 10
M, Apr 2 PSP: Pages 31-35. Conclusion      
W, Apr 4 Back to modern times: Section 47      
F, Apr 6 Exam II Read Section 29    
WEEK 11
M, Apr 9 29: Extension Fields, Alg & Trans Elts   Section 29: Due M, Apr 16
2,5,6,13-23,27,29,31,32,34		 Hmw 9: Due Wed Apr 18
W, Apr 11

29 continued (simple extensions)

 Read Section 30    
F, Apr 13 30: Vector Spaces   Section 30: Due M, Apr 16
2,4,6,8,10-16,20,24,25,27		  
WEEK 12
M, Apr 16 Presentations on sections 29, 30 Read Section 31    
W, Apr 18 31: Algebraic Extensions   Section 31: Due M, Apr 23
3,4,10,14-19,22,24-26,28-33,36,37		 Hmw 10: Due Wed Apr 25
F, Apr 20 31: Algebraically Closed Fields      
WEEK 13
M, Apr 23 Student Presentations on section 31 Read Section 33    
W, Apr 25 33: Finite Fields   Section 33: Due F, May 4
1-10, 14, and Problems 6, 7 in this set.		 Hmw 11: Due Wed, May 2. Problems 2,3,4,5, 8abc in Problem Set on FF.
F, Apr 27 33: Finite Fields Read Section 32    
WEEK 14
M, Apr 30 32: Geometric Constructions

 

 Section 32: Due F, May 4:   1-4  
W, May 2 Special Lecture      
F, May 4

Student Presentations

    Final Exam: Wed, May 9, 1:30 pm