Homework Math 448

Due dates for these assignments may change throughout the semester. Check back often.

Assignment #	Activity	Due Date
1	Read the course syllabus. Read this page if you want your email to be sent to a different address other than your scranton.edu address. Do the exercises in the Toy Proof document.	Thu 9/5/02
2	Click here for this assignment.	Thu 9/12/02
3	Click here for this assignment.	Tue 9/17/02
4	Read the Proof Shortcuts handout! Read the Proof Strategies handout! Appendix B, pg 515: #5,15,20b,24a,f (if it is commutative, prove it, if it is not commutative prove that as well. Likewise for associative) Also do these fun problems!	Thu 9/19/02
5	Appendix B, pg 517: #27,28,29,33b,35 Also do these enjoyable exercises!	Tue 9/24/02
6	Chapter 1.1, pg 6. #4,5,7 and also these wonderful treats!	Tue 9/24/02
7	Appendix C, pg 525: #4,5,8,15 (Use induction for 4,5,8. For #15 simply explain, no proof required.) and this amazing morsel!	Thu 9/26/02
8	Chapter 1.2, pg 13. #4,8,10,19,21,24,26,28,33 and this easy warm-up stretch!	Tue 10/01/02
9	Chapter 1.3, pg 18. #4,8,11b,12b,14,17,21,23	Tue 10/01/02
10	Appendix D, pg 530. #1,3,6,7,11,14,16	Thu 10/03/02
11	Chapter 2.1, pg 29. #6,10,11d,14,18,20,21,26,32	Tue 10/08/02
12	1.(a) Prove Theorem 2.7 part 9 (b) Prove Theorem 2.7 part 10 Chapter 2.2, pg 36. #2d,5b,6,7,9b,10,11 Notes: In #5b assume x and 0 are equivalence classes in Z₃, not integers. In #11, replace conditions (i) and (ii) with: (i) @a,b in Zn, a<b and b<c => a<c (ii) @a,b in Zn, a<b => @c in Zn, a+c<b+c (iii) @a,b in Zn, a<b and b<a => a=b (iv) [0]<[1] or [1]<[0]	Tue 10/08/02
13	Chapter 2.3, pg 39. #4,6,7f,8,11b	Thu 10/10/02
14	Chapter 3.1, pg 51. #4b,5b,8c,9,12,13c,21,25,29 Notes: In #12, prove your answer in formal proof format, don't just say yes or no. You don't have to prove #13c, just give the tables. In #25 you must prove that each missing element in the table is what you claim it is. You can insert the two given tables in your proof (with the missing elements) as a given, and then prove that the other elements are what you claim. Include the completed table either before or after the proof. In #29 if you decide to disprove it, give a proof of the negation (note that the statement has an implied "for all rings R,S" in front of it which you need to include before negating.	Thu 10/17/02
15	Chapter 3.2, pg 63. #2,6,7b,8b,11b,16a,19a,25,29,30 Notes: Prove every part of #2, #7b, #11b, #19a and of course, all the other questions as well.	Thu 10/17/02
16	Chapter 3.3, pg 76. #6,9,11,13,18,20,23,26a,27,29,31a Notes: You must prove everything here, except for the second part of #26(a) which you can answer informally with an explanation.	Tue 10/22/02
17	Chapter 4.1, pg 88: #1d,5d,7,8,10,11,13,17,18 Notes: You must prove all of these.	Tue 10/22/02
18	Chapter 4.2, pg 93: #2,3,4a,6b,d,f,10,12,14 Notes: Prove all of these except #6. For #6, use the Extended Euclidiean Algorithm and show your work.	Thu 10/24/02
19	Chapter 4.3, pg 98: #2,5,9b,13,14,16,20,23b Notes: Prove all of these.	Tue 10/29/02
20	Chapter 4.4, pg 104: #2c,3d,7,8d,11,12,14a,18,20,24 Notes: Prove all of these.	Tue 10/29/02
21	Chapter 5.1, pg 122: #1c,2,6,7,8,10,11,12 Notes: Prove all of these (even if you are disproving) except #7 which you should explain but not prove.	Thu 10/31/02
22	Chapter 5.2, pg 128: #5,6,8,9,10,14 and this delightful activity!	Tue 11/05/02
23	Chapter 5.3, pg 132: #1,4,5,6,8,9,10	Tue 11/05/02
24	Chapter 6.1, pg 141: #2,5,8,10,17,18,24,25,28,31,35,39	Thu 11/07/02
25	Chapter 6.2, pg 151: #7,9,10,11,12,13,14,20,24	Tue 11/12/02
26	Chapter 7.1, pg 171: #4c,8,10,16,24,26,28,31 (in #28 show all of your work, don't just complete the table) and this fun filled frolic!	Tue 11/12/02
27	Chapter 7.2, pg 178: #7b,d,9b,18,19,22,26,28,34,35	Thu 11/14/02
28	Chapter 7.3, pg 187: #3b,5,10,14,22,24,28,33,44,47	Tue 11/19/02
29	Chapter 7.4, pg 196: #9,12,13,14,17,22,24,28c,36c	Tue 11/19/02
30	Chapter 7.5, pg 206: #2c,3d,12,14,21,22,23a,25	Thu 11/21/02
31	Chapter 7.6, pg 213: #10,15,16,19,21,22,25,28	Tue 11/26/02
32	Chapter 7.7, pg 220: #4,8,14,16,17a,19,21,22,23	Tue 11/26/02
33	Chapter 7.8, pg 226: #1d,8,10,14,15,21a,b	Tue 12/03/02
34	Chapter 7.9, pg 235: #1b,d,2b,c,3e,4e,10,12,14,16,18a,30	Thu 12/05/02

Homework Assignments