Math 351: Abstract Algebra

Contact me:
e-mail:
laurel.langford@uwrf.edu
My schedule
My office location: 206E NH
My office phone number:
715-425-4360
General syllabus

Schedule: 

Mon Weds Fri
 Jan 25 Division 1.1.  # 1, 3, 5, 6, 7, 8, 9. Video help for 7-9 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: 5d-f, 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) Hint-through 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 1-1, onto and function (similar to in class) (6 1/2 mins)
vid2: An example of proving that a function is 1-1 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^2-3), 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
Write out the addition and multiplication table for Z8/{0,4}

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 4-6
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 # 4-8
review questions
Solutions to the D5 practice questions: written down; video (about 12 minutes long)
May 9 Final exam Monday 1-3 pm.