Math
2141 Homework Assignments
Tentative List
The following exercises may be found in the text. Other exercises
may be posted on this site or handed out in class.
* means potentially difficult
| Section |
Problems (set
up integrals but don't evaluate them till we learn how to do so) |
| Rewrite the problem given in New
and Important |
|
| I.2.5 |
1,2,5,6 |
| Prove the trichotomy and
transitivity properties of the ordering of the reals and/or rationals |
|
| Show that every rational number
a/b has a decimal expansion which is either terminating or repeating. |
|
| Show that the distance function
d(x,y) := |x-y| has the following properties: a). |x-y| >= 0 and is = 0 exactly when x = y. b) |s-y| = |y-x| for any x and y in Q or R. c) for any three numbers x,y and z, |x-y| <= |x-z| + |z-y|. (This is called the triangle inequality.) |
|
| I.4.9 |
2,3 |
| I.3.12 |
1,3,4,7,8,10,11 |
| I.2.5 |
1,2,5,6 |
| I.4.4 |
1b,c,2,12 (use blue horses not
girls with blue eyes) |
| I.4.7 | 1b,f,2,9 |
| I.4.10 |
10,13a |
| 1.6 |
4a,b,c,e,5a,b,e,6a,b,9a,b |
| 1.7 |
1A,B,C,2,3 |
| 1.11 |
1a,c,2e,3a,4a,b |
| 1.15 |
1a,e,2,7*,8,11 |
| 1.26 |
1,2,16,17,20,21,23 |
| 2.4 |
3,11,15,17,19,21 |
| 2.8 |
1,2,3,18,23 |
| 2.11 | 1,10,13 (use a trig identity) |
| 2.13 |
2,8,13 |
| 2.17 |
3,11,13 |
| 2.19 |
1,5,7,15,17,19 |
| 3.6 |
1,6,11,12,21,27,32 |
| 3.8 | 1,4,11,12,19,20 |
| 3.11 | 1,2a,3,5,6 |
| 3.15 |
2,4,5 |
| 3.20 |
1,2,6,8 |
| 4.1-2 |
read these sections |
| 4.6 |
1,6,what do 14&15
mean?,28,33,38 |
| 4.9 |
1,3,9,10,15 |
| 4.12 | 2,10,12,18,20,24,29 |
| 4.15 |
1,2,4,8a |
| 4.19 |
2,10 |
| 4.21 |
2,3,4,5,16 |
| 4.23 |
do what you'd like |
| 5.5 |
1,4,5,8,12,14,17,22a,26a,b,c |
| 5.8 |
1,2,6,7,24 |
| 6.9 |
2a,4,8,9,16,17,35 |
| 6.17 |
1,10,11,14,18,29,35a,39 |
| 6.22 |
3,6,12,19,29,30 |
| 6.25 |
1,4,9,13,39, |