MATH 555, Fall 2009
Announcements:
1. Office Hours: M 10-11, W 11-12 & 2-3, and by appointment;
2. Eleventh homework due Friday, December 4th (Sections 3.6 & 3.7). It can be picked up at Hume 335 anytime during Finals Week.
Email:spiroff@olemiss.edu
Office: Hume Hall 335;
Phone: (662) 915-5646
Class History
DATE |
SECTION |
HOMEWORK |
Monday, August 24 |
1.3 | proofs 1.3F & 1.3H; 10, 11 |
| Wednesday, August 26 | 1.4 | 1, 2, 4 |
| Friday, August 28 | 1.5 |
|
| Monday, August 31 | 1.5 continued |
1-4 all |
| Wednesday, September 2 | 1.6 1.7 Homework due |
2, 3, 4, 6 1, 2, 3, 5 Sections 1.3 & 1.4 |
| Friday, September 4 | 2.1 |
1-4 all |
| Monday, September 7 | University Holiday | |
| Wednesday, September 9 | 2.2 |
1, 4, 5 |
| Friday, September 11 | 2.2 continued Homework due |
Sections 1.5, 1.6, & 1.7 |
| Monday, September 14 | 2.3 |
2, 3 |
| Wednesday, September 16 | 2.4 | 1 a, c, e, g; 2; 4 |
| Friday, September 18 | 2.5 Homework due |
2, 4 Sections 2.1, 2.2, & 2.3 |
| Monday, September 21 | 2.6 |
1, 2 (first part), 8, & give the proof of the first part of Theorem 2.6E: "A nonincreasing sequence which is bounded below is convergent." |
| Wednesday, September 23 | 2.7 | worksheet |
| Friday, September 25 |
Homework due |
Sections 2.4 & 2.5 |
| Monday, September 28 | Review | |
| Wednesday, September 30 | TEST I | covers 1.3-2.5 inclusive |
| Friday, October 2 | 2.8 | 1, 2, and "If {s_n} diverges to positive infinity and {t_n} converges to M>0, then {s_nt_n} diverges to positive infinity." |
| Monday, October 5 | 2.9
|
1, 5, & (minus infinity) analogue of Theorem 2.9I
|
| Wednesday, October 7 |
Homework due |
Sections 2.6 & 2.7 |
| Friday, October 9 | 2.10 | #2, #5, and the following: (1) Prove that {(2n+1)/n} is Cauchy, and (2) prove DIRECTLY (i.e., use epsilon) that if {s_n} and {t_n} are Cauchy, then so is {s_n + t_n} |
| Monday, October 12 |
|
|
| Wednesday, October 14 | 2.12 Homework due |
2, 3, 4 Sections 2.8 & 2.9 |
| Friday, October 16 | ||
| Monday, October 19 | 3.1 | 1, 2, 9, 11 |
| Wednesday, October 21 | 3.2 Homework due |
1, 2, 3, 5 Sections 2.10 & 2.12 |
| Friday, October 23 | ||
| Monday, October 26 |
|
|
| Wednesday, October 28 | Review | |
| Friday, October 30 | TEST II | Sections 2.6-2.12 (not including 2.11) |
| Monday, November 2 | 3.3 | 1, 3 |
| Wednesday, November 4 | 3.4 | 1, 4, 5, and chart |
| Friday, November 6 | Homework due | Sections 3.1 & 3.2 |
| Monday, November 9 | 3.5 | 1, 2, 4 |
| Wednesday, November 11 | ||
| Friday, November 13 |
Homework due |
Sections 3.3 & 3.4 |
| Monday, November 16 | 3.6 | 1, 2, 6, 11 |
| Wednesday, November 18 | ||
| Friday, November 20 | 3.7 Homework due |
Section 3.5 |
| November 23-27 | University Holidays | |
| Monday, November 30 | Review | |
| Wednesday, December 2 | TEST III | covers 3.1-3.5 inclusive, as well as Theorem 2.7C |
| Friday, December 4 | Homework due | Sections 3.6 & 3.7 |
| Thursday, December 10 | Final Exam @ Noon |