Department of Mathematical Sciences
Binghamton University

Math 330: Number Systems
Class Schedule and Assignments

Section 5, Zaslavsky · Fall 2017


Main class page | Schedule and homework | Announcements | Term Project | Syllabus
Index:     | Ch. 1 || Ch. 2 || Ch. 3 || Ch. 4 || Ch. 5 || Ch. 6

Rewrites can be handed in any time. Early homework is always accepted. You can leave homework in the collection bag on my office door at any hour.

(Added Oct. 17.) Papers for the same assignment must be stapled (bending a corner is not secure); if not, I will not grade the papers. Every different assignment must be written on separate papers; if not, I will only grade one assignment. (I have said this in class many times.)

Code:   § means "section".   ¶ means "paragraph".

No.Date dueReadingsTo do (hand in)     Remarks
0.F 8/25Notes for Students
& Instructors
& § 1.1 to Prop. 1.6
None yet.W-F: We discuss fundamental properties
of the integers, from which many others can be proved!.
Make a list of any questions, such as "What does this mean?"
1.M 8/28Up to Example 1.15.Prove Props. 1.8, 1.12. M-F: We find out what we were talking
about last week.
2. W 8/30 To Prop. 1.23 & proof.
3. F 9/1 Finish Ch. 1. Prove Props. 1.14, 1.16, 1.17(ii),
Cor. 1.21.
4a. W 9/6 § 2.1
(We'll discuss Propositions
from § 2.2 in class.)
Axiom 2.1(iv) and Prop. 2.2 are called
"Trichotomy" (for positivity), meaning
splitting into three. We'll have more trichotomy.
(Not related to tracheotomy.)
4. F 9/8 § 2.2. Prove Props. 1.22, 1.24, 1.27(iii).
5. M 9/11 § 2.3. Prove Props. 1.25(ii), 2.3, 2.5, 2.8.
6. F 9/15 § 2.3 (again). Prove Props. 2.12(i), 2.18(iii), 2.20.
7a. M 9/18 § 2.4.
7. W 9/20 § 2.4. Prove Props. 2.21, 2.23, 2.27.
8. M 9/25 § 3.1. Prove Prop. 2.33.
Do (i, iii) in Projects 3.1-2.
9a. W 9/27 §§ 3.2-4. Rewrites.
9. M 10/2 §§ 4.1-3.Do Projects 3.1-2(ii, iv), 3.3, 3.7(i-iv).
10. W 10/4 § 4.4. Do Projects 3.7(v-vii) & 4.3.
11. F 10/6 §§ 4.5-6. Prove Props. 2.34, 4.5.
12a. W 10/11 §§ 5.1-5.3.Rewrites.
12b. W 10/18 § 5.4.
12. F 10/20 Prove Props. 4.11, 4.15(iii), 4.16(i).
Do Project 5.3.
13. M 10/23 §§ 6.1-2. Do Projects 5.5, 5.11, 5.12, 5.16, 5.21.
Prove Ex. 5.9, Props. 5.14, 6.5.
Do Project 5.8 (not to hand in).
14. W 10/25 Do Projects 6.7, 6.9(i).
15. F 10/27 Do Project 6.8.
16. M 10/30 § 6.2. Prove Props. 6.6, 6.15, 6.16.
W 11/1 Midterm exam Covering Ch. 1-5 and § 6.1.
Open book.
For good preparation, know how
to prove propositions and do projects.
Understand the definitions, notation,
and terminology.
17a. F 11/3 § 6.3.
17. M 11/6 § 6.3. Prove Prop. 6.25(+).
18. W 11/8 § 6.4. Prove Props. 6.19, 6.25(times), 6.26.
Do Project 6.27.
19. F 11/10 §§ 8.1-3. Prove Prop. 6.20. The reading is relatively easy. Most
is lifted from Ch. 1 (§ 8.1) and 2 (§ 8.2).
20. M 11/13 § 8.4, Ch. 9. Prove Props. 8.6, 8.40, 8.45,
& Ex. 8.46. Do Project 8.44.
21. F 11/17 Ch. 9. Do Project 9.3(i-iii,[iv-vi]). Prove Prop. 9.7(ii,iii). NOTE:
Bracketed problems
, like [9.12],
will not be graded.
22. M 11/20 §§ 10.1-2. Prove Props. [9.12], 9.14, 9.15.
Do Project 9.13.
This reading should be familiar.
23. M 11/27 Ch. 10
through p. 100.
Prove Prop. 9.16-18 9.18, Cor. 9.20.
Prove Props. [10.10], [10.11], 10.13(ii), 10.14.
24. W 11/29 Ch. 10. Prove Props. [10.17], 10.21, 10.22.
25. F 12/1 Ch. 11. Prove Props. 10.27, 10.28.
26. M 12/4 §§ 13.1-2. Prove Thm. 10.26, Props. 11.3, 11.4, 11.6, 11.13, & Cor. 11.23.
27. W 12/6 §§ 13.3-4. Prove Props. 13.1, 13.3, 13.6, 13.8, 13.13, 13.18. Some of these proofs are quite short.
28. F 12/8 § 13.5 (optional). Prove Prop. 13.23, Thms. 13.25, 13.28, Prop. 13.32. Special office hours today:
1:15-2:00 and 5:45-7:00.




Pre-Finals week
F 12/8
Project Absolute deadline
7:00 p.m.
at my office.
Last moments to submit the project.
Finals week
M 12/11
HW 1 - 10. Absolute deadline
5:00 p.m.
at my office.
Last moments to submit HW 1 - 10.
Finals week
Tu 5/12
Review session1:50 - 4:15 in WH-100E.
Finals week
W 12/13
FINAL EXAM12:50 - 2:50, in SW 102. The final exam covers all the material
of the course.
It will emphasize Ch. 8-13.
Finals week
F 12/15
HW 11 - 28. Absolute deadline
6:00 p.m.
at my office.
(An hour later than previously announced.)
Last moments to submit HW 11 - 28.





Main class page | Schedule and homework | Announcements | Term Project | Syllabus