| Monday | Wednesday | Friday |
| Jan 22: Syllabus Short assignment on division |
Homework pg 14 # 3, 4, 6, 13a,b | pg 16 # 19; 20; 25a Examples |
| Jan 29 Thm 1.5 part 2 Assn pg 22-23 # 5, 7, 15 |
Homework: watch these videos about proving stuff with mod numbers | Homework: more videos
(2a, b, c) |
| Feb 5: Wednesday Homework Practice enough of pg 36 #2-8, 11, 14ab to be confident with this kind of problem. |
Prepare for quiz (half-test) on Chapter 1 on Friday. Handout |
Work on proving theorems 1, 2, 6 and 7 as assigned. Current revised scan of the handout |
| Feb 12: Work the rest of the theorems and problems on
the mod number theorem handout (Except M10). Here are videos to help
with: M3 and 4 M8 part 1 M8 part 2 |
Videos to watch: Introduction to rings. Also there is more stuff on the mod number videos page--try to watch soon. |
Watch the field
and integral domain definitions videos This pdf has the ring examples note sheet from class, which has the homework assignment added/explained on it. |
| Feb 19: Prove M1, and M8. Answer the 3 example
questions at the bottom of the sheet. Here are some GCD lemmas/theorems (with proofs) that you might want to use. |
Sec. 3.1 # 6, 7, 15a, 21 | Prove that Q[sqrt(2)] is a field. |
| Feb 26: finish #32 on pg 57 | Test/quiz 2: chapter 2 | HW sec 3.2 # 5a,b, 8, 12, 17 Notes on proving theorem 3.3 (uniqueness of additive inverses) |
| Mar 5: WH sec 3.2 # 7, 13, 15, 21, 27 | ||
| Mar 12 Spring | Break | Week |
| Mar 19:: 3.3 # 12. show whether each preserves addition, preserves multiplication, is one-to-one and is onto. | 3.3 # 6-8 | Notes and study for quiz next week.. |
| Mar 26 4.1 # 1, 3, 4, 5, 6 | Quiz. Notes and homework |
|
| Apr 2: Review
for Friday's quiz Try to prove the function from class is an isomorphism. |
Notes and homework (HW due Monday) | Quiz |
| Apr 9: | Here's the example I want you to read. And video explanations of the example Practice problems to check if you understand |
|
| Apr 16: | Double-quiz (test) | Read in chapter 7.1 Theorems 7.1 and 7.2 and examples 1, 3, 8, 9, 10, 14 |
| Apr 23: HW 7.1 pg 180 # 2, 3, 4, 8 Prepare proofs for theorems 7.5 amd 7.6 on pages 196-197 |
HW 7.2 pg 201 # 2. 3. 5. 7a. 9b | HW 7.2 pg 201 # (11), 15a, 17 7.3 # 4-8 , theorem 7.13 |
| Apr 30: HW: Theorem 7.20, 7.3 # 16, 26a, 33 7.4 # 2, 5, 6 Group questions to study for the final exam |
Some notes and examples | |
| May 7: final Exam 1:00-3:00 |