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 |
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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 |
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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 |
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| 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 |
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. |