| Course Description | Course Information | Syllabus | Homework Assignments |
|---|
Usually on Wednesdays, we will post the homework due the next Wednesday. Here is the homework to date.
| Week Number | Section | Homework | Due Date |
|---|---|---|---|
| Week #1 1/4, 1/6 |
1.1, 1.2 | p. 8: 3, 4, 9; p. 17: 1, 3, 7, 8 |
Jan. 11 |
| Week #2 1/9, 1/11, 1/13 |
1.2, 1.3 | p. 17: 12, 16; p. 27: 1, 3, 4, 6, 11, 13, 19; Prob. No. 1 below. |
Jan. 18 |
| Week #3 1/17 (Tu x-hour 1:00-1:50; no class Mon: MLK Day) 1/18, 1/20 |
1.4 | p. 35: 1abcd, 2, 5, 8, 20 | Jan. 25 |
| Week #4 1/23, 1/25, 1/27 |
2.1, 2.2 | p. 58: 1, 2, 4, 7abd, 10; p. 66: 3, 16, 26 |
Feb. 1 |
| Week #5 1/30, 2/1, 2/3 |
2.2, 2.3 | Midterm Exam | Feb. 8 |
| Week #6 2/6, 2/8; no class Fri: Winter Carnival |
2.3, 3.1 | p. 66: 24, 36, 37; p. 74: 1, 3ad, 6, 14 |
Feb. 15 |
| Week #7 2/13, 2/15, 2/17 |
3.1, 3.2 | p. 90: 3, 9 (Hint: Thms 3.2, 2.7), 27, 32, 38; p. 97: 7, 25 |
Feb. 22 |
| Week #8 2/20, 2/22, 2/24 |
3.3, 3.4, 3.5, 6.1, 6.2 |
p. 97: 11a, 19; p. 107: 5 (Hint: IVT), 9 (Hint: consider fctn g(x) = f(x) - x); p. 121: 9abc; p. 214: 1c, 4 |
Mar. 1 |
| Week #9 2/27, 3/1, 3/3 |
6.3, 7.1, 7.2 | p. 114: 4; p. 214: 19, 20; p. 219: 7, 8b, 14acd [comparison test only]; p. 226: 5a, 6; p. 246: 3 [Also, is convergence uniform?] pp. 246, 251, 256 [as possible] |
Mar. 6 |
| Week #10 3/6, 3/8 |
7.2, 7.3 | Give out final 3/6. | Mar. 11: final due 11:00 am, 410 Bradley |
- 1. Prove that in a field F, the element 0 in axiom 4 of Definition 1.1 is unique. (Hint: Assume that there are two elements 0 and 0' in F such that x + 0 = x and x + 0' = x for all x in F. Show that 0 = 0' using a field axiom from Definition 1.1 in each step of your proof.