Schedule:
Mon  Weds  Fri 
Jan 25 Division 1.1. # 1, 3, 5, 6, 7, 8, 9. Video help for 79  1.1 Division algorithm proof. 
1.2 # 4, 6, 9, 10; Find the gcd and the linear combination equation for the numbers in 15c and d. Examples to help with 15. Video, written example 
Feb 1 1.2 # 17, 20, due Friday 
1.2 # 22, 27 due Monday 
1.3 due Weds. Write up the complete proof of thm 1.5 (pg 18). 1.3 # 1a, 7, 11 
Feb 8 1.3# 10, 15, 17 
2.1 # 6, 7, 9, 13 
2.2 # 1b, 2, 3, 4, 11a, b, 13 
Feb 15 2.3 # 1a,b, 2,a,b, 3  2.3 
Exam 1 
Feb 22 HW on units and zero divisors  3.1 # 5b, c, 6b, 8. Optional more practice: 5df, 6a. 
3.1 # 13. Read and study the proofs of theorems 3.3, 3.4, 3.5. 
Feb 29 3.2 Write up the proofs of theorems 3.3, 3.4 and 3.5 in your own words to turn in  3.2 
Exam on chapter 2 
March 7 3.2 # 1, 5, 8, 10, 12, 15, 17, 18, 21 (due Friday)  Hintthrough for the assignment 

March
14 Spring 
Break  
March 21 3.3#1 and prep part of thm 3.10  Write up the proofs of all 5 parts of thm 3.10, and watch at least the second of these two lecture vids: vid1: Review of 11, onto and function (similar to in class) (6 1/2 mins) vid2: An example of proving that a function is 11 and onto. (approx 10 mins) 
Proving functions are ring isomorphisms. Do problems 3.3 # 5, 6, 8, 11. 
March 28 Some problems to study  ...  Chapter 3 test 
April 4 Section 4.1 # 1, 4, 5  Section 5.1 # 5 (do for x^23), 6, 7 5.3 # 5a 
No class 
April 11 Read and understand the proofs of theorems 6.2, 6.4, 6.5, 6.1 # 2, 3, 11, 12 
6.1 # 23 
6.2 # 1, 9a Prove one of theorem 6.6 or 6.7 Prove that in a ring with finite elements, and an ideal I, then all of the cosets r+I have the same number of elements as the ideal (and as each other). 
April 18 Practice for test 6.2 # 4, 21 Other test practice topics 
Review and questions  Test on Chapters 46 
April 25 Chapter 7: Groups  Finish the group tables for permutations and transformations. 7.1 # 4 a, c, 8, 11 
7.4 # 1, 4, 5, 7.1 # 3 
May 2 7.2 # 2, 3, 7a,b, 10d  Things To Study for the Final exam Do a few of problems 7.3 # 48 
review questions Solutions to the D5 practice questions: written down; video (about 12 minutes long) 
May 9 Final exam Monday 13 pm. 