Intro to Modern Algebra, Spring '08
deserve neither liberty nor safety" — Benjamin Franklin. (1706-1790)
Homework List
◊ Jump down to 'This Week' ✈
Week 1
- Monday, Jan 14 - First day of class
¤ Send an email to me by Wednesday.
¤ Read Appendix, The Basics of Logic
§Appendix. Pg 342, No 1, 2, 5, 8, 13, 15, 19, 25, 39, 41, 71
- Wednesday, Jan 16
§1.1, No 1, 2, 3, 5ack, 7c, 9a, 10, 12ac, 15, 17, 25, 31
- Friday, Jan 18
¤ Last day to add a class.
§1.2, No 1abc, 2, 3, 4efg, 8, 10, 13, 17, 18
¤ Look at §1.2, No 22, 23
¤ Read §1.3
- Monday, Jan 21 — No classes today
¤ Dr Martin Luther King, Jr., day
- Wednesday, Jan 22
§1.4, No 1, 2abc, 3, 7, 9, 10agn, 13
- Friday, Jan 24
§1.4, No 2.
- Monday, Jan 28
§1.5, No 1, 2b, 3aceg, 4, 9 → 11
- Wednesday, Jan 30
§1.6, No 1, 2abefh, 5, 9, 15, 17, 19
- Friday, Feb 1
☣ Ice storm — all classes cancelled.
¤ Euclidean Algorithm Group Project.
- Monday, Feb 4
¤ Euclidean Algorithm Group Project Day.
- Wednesday, Feb 6
§2.2, No 1, 3, 7, 15, 16, 21, 29, 35, 37
- Friday, Feb 8
◊ Quiz today!
¤ Do the problems on the Induction Sheet
- Monday, Feb 11
§2.3, No 1, 3, 7, 15, 16, 17, 19, 21, 29
- Wednesday, Feb 13
§2.4, No 2bd, 3akmn, 6, 10, 14, LA 20. (LA = "look at")
- Friday, Feb 16
¤ Find a mathematician born on the same day as you. Write a biography (≤1 page) on their life/mathematics/&c.
(If you've done this before, choose a different person this time.)
§2.4, 5, 7, 8, 10, LA12, 13
- Monday, Feb 18
§2.5, No 1, 3, 5, 7, 18, 19, 24, 31
- Wednesday, Feb 20
§2.6, No 1 → 7
¤ Maple worksheet for operation tables for ℤn.
- Friday, Feb 22
◊ Quiz today! If classes are cancelled because of ice, the quiz will be Monday.
- Monday, Feb 25
§3.1, No 1, 3, 5, 6, 7, 11, 13
- Wednesday, Feb 27
§3.1, No 23, 28, 33, 36, 40, 46, 49, LA 54
◊ Fibonacci Project — Due: Wednesday, Mar 19.
Only 8 am and 9 am classes are cancelled (AppalCart, the local bus service, isn't running) — we still have class!
- Friday, Feb 29
§3.2, No 1, 3, 6, 15, 17, 23, 33, LA 35
- Monday, Mar 3
◊ Review day: study for the test.
- Wednesday, Mar 5
◊ Midterm Test today!
- Friday, Mar 7
◊ Project Day - no formal class meeting.
- Monday, Mar 10 → Friday, Mar 14
¤ Spring Break — no classes. A chance to get ahead in studying!
- Monday, Mar 17 — Naomh Padraig's Day
§3.3, No 1, 2, 6, 7, 11ac, 13a, 15
- Wednesday, Mar 19
§3.3, No 18, 21, 25, 27, 29, 35
- Friday, Mar 21
◊ Quiz day
- Monday, Mar 24 — No classes today!
◊ Easter Holiday
- Wednesday, Mar 26
◊ Recap proofs
- Friday, Mar 28
◊ Function Worksheet Day
- Monday, Mar 31
◊ Get your presentations ready!
- Wednesday, Apr 2
¤ Presentations
- Friday, Apr 4
¤ Presentations
- Monday, Apr 7
§3.4, No 1, 3, 7, 12
◊ Isomorphisms slides
- Wednesday, Apr 9
§3.4, No 13, 16, 17, 20ab, 25, LA 29
- Friday, Apr 11
§3.5, No, 1, 3, 4, 10, 14
◊ Morphism diagram
- Monday, Apr 14
§4.4, No 1, 3a, 4, 7, 8
◊ Normal Subgroups
- Wednesday, Apr 16
§4.4, No 10, 12, 19, 22, 27, 32
¤ Check the updated Normal Subgroups slides
- Friday, Apr 18
§4.5, No 1, 3, 9
- Monday, Apr 21
§4.5, No 12, 15, 16, 22
- Wednesday, Apr 23
◊ Use the Chapter 1 and 2 "Key Words and Phrases" list on pg. 51 & 107 to guide your review.
- Friday, Apr 25
¤ Practice Exam Day
✈ This Week.
Week 15 & ...- Monday, Apr 28
◊ Use the Chapter 3 and 4 "Key Words and Phrases" list on pg. 151 & 205 to guide your review.
- Wednesday, Apr 30 — Last Day of Classes
◊ Look over materials for Rings and Fields
◊ Make your «Test Card»
- Saturday, May 3
¤ Final Exam at 9:00 am.
| “Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?” |
| — Paul Halmos |
|
Last modified: Wednesday, 01-Feb-2023 08:32:12 EST