Mon

Weds

Fri

More 1.1 and 1.2
HW 1.1 # 5
1.2 # 3, 4a
Video of 4a in case you get struck
Some useful definitions

More 1.2.
HW: 1.2 # 6, 4b, 13a, b, c Proof 1.4 handout, and prepare to explain part of the proof of Corollary 1.3

Jan 30 Euclidean Algorithm
Some notes from class 
Euclidean Algorithm video 
HW:  1.2 # 15 c, d: For the numbers in c and d: use the Euclidean algorithm to find the gcd and then work backwards to find the linear combination  (u and v) described in  thm 1.2

1.2 # 18, 17, 20 Read and prepare the proof of theorem 1.5
Notes from class

1.3 # 7, 11, 17 (prove your answer is correct), 30.
Example videos for #30: part 1, part 2
Notes from class: part 1, part 2

Feb 6 Homework: prepare proofs for Theorems 2.1 part 3 and 2.2 parts 1 and 2

Chapter 1 test

Feb 13 2.1 # 6, 19
2.2 # 3, 5 (do it by checking all numbers)
Notes

 HW: 2.1 # 7, 9
2.3 #6
Some notes
Conjectures
The mod multiplication tables.

HW 2.1 # 14, 15, 16
2.3 # 5
Find the multiplicative inverse of 9 in Z13 using Euclid's method. from chapter 1

Feb 20 Prep the theorem you are responsible for presenting this week. List of theorems

 Here are the theorems we proved in class this week. Review topics to study.

Feb 27 Homework: Prove 3Z is a ring (integer multiples of 3)
Work out the expanded version of whichever matrix computation you were assigned in class.

Homework due Monday:
3.1 # 5: for each problem a-f, if it is not a ring, show why (counter example), and if it does have an identity, tell what it is.
Also 3.1 # 11, 15a,b, 31.

Test on Chapter 2. Review topics

March 6 

March 13

Break

March 20 Notes. Homework is to complete the problems we started in class (see notes)

Videos showing the Q[i] is a field: part 1, part 2, part 3.
Homework: 3.1 # 23, 3.2 # 17, Prove that Q[ √2]={a + b √2 | a,b ∈ Q } is a field. You may need these notes

March 27 Homework 4.1 # 1, Learn the proofs about composition of 1-1 and  onto functions.

April  3

HW 3.3 # 1, 2, 4, 11, 12

April 10 HW 3.3 # 8, 19

Chapter 3 test review topics

April 17 Thm 3.5 Proofs

Chapter 3 test

April 24  This homework

6.2 # 6, 9, and the problem in these notes (See pg 1)

6.2 # 21
Additional first isomorphism theorem problem

May 1 Worksheet (due Weds)

Homework/practice work (not collected)
Review topics sheet

 Some notes on practice problems that we didn't get to in class....
And I suppose it would be reasonable to let you have a 1/2 page of notes again.  Send other review questions my way--the sooner I get them, the more likely I will answer them.

May 8