Math
415 Fall 2003 Homework Problem List
W. Freedman
Presentation: At the top of the paper in the right hand corner,
please put your full name, the homework number,
the course number, and the
assignment, including page numbers.
Multiple pages must be stapled together.
Please write legibly on
only one side of the page. Messy or annoying
work (food stains, for example) receives zero credit and I will hand it
back unread. See the “Guidelines for Homework”
for further important information about how to write up your homework
assignments.
Grading of homework: I will
announce the due dates in class.
Generally, I will grade three problems from each assignment.
Each problem is worth three
points. You receive one additional
point if you have made a good attempt for all the assigned questions,
your work is neat, your
paper is stapled, and all the information for the assignment, as in the box
below, is present.
Each assignment is worth 10
points. I may also give bonus homework
points for excellence in content and presentation.
For example, well-done
computer-generated graphics (if appropriate), outstanding solutions, etc., can
earn bonus points.
I will deduct points if you
do not follow the “guidelines”. I will
provide solutions for all problems assigned.
I will not accept late
homework
under any circumstances; however, there will be opportunities to do extra
credit, and I will drop the lowest two scores.
Additional Info: From the preface of our text (italics mine): “As in
earlier editions, the text also includes more than a hundred
practice problems. Generally, these problems are not very
difficult, and it is intended that students should stop to work them
as they read. The answers are given at the end of each
section just prior to the exercises. The
students should also be
encouraged to read (if
not attempt) most of the exercises.
They are viewed as an integral part of the text and vary
in difficulty from the routine to the
challenging. Those exercises that are
used in a later section are marked with an
asterisk. Hints for many of the exercises are included
in the back of the book. These hints
should be used only after a
serious attempt to solve
an exercise has proved futile.”
Please see the hard copy
version, or the MS-Word version for the footnotes, which clarify or give hints
to the problems.
|
Homework No. |
Section and Page Numbers |
Assignment |
|
HW
1 |
§5,
p. 41-43 |
#2,
6, 10abe, 13, 14, 18d |
|
HW
2 |
§7,
p. 64-67 |
#2,
3d, 4, 11g, 14 |
|
HW
3 |
§8,
p. 76-79; and §10,
p. 91-95 |
#2,
9; and #4,
6, 8, 10, 13c, 14 |
|
HW
4 |
§11,
p. 102-104 |
#2bc,
3adg, 4, 6, 7, 8, 9 |
|
HW
5 |
§12,
p. 112-115 |
#2,
4bdfhjln |
|
HW
6 |
§12,
p. 112-115 |
#7,
8, 12, and problem (a) below |
|
HW
7 |
§13,
p. 120-122 |
#2abghi,
4, 5, 7 |
|
HW
8 |
§13,
p. 120-122 |
#2cdef,
6, 9, 10[1],
11, 13 |
|
HW
9 |
§13,
p. 120-122, and §14,
p. 127-129 |
#17,
18; and #3,
5a[2] |
|
HW
10 |
§14,
p. 127-129, and §15,
p. 136-138 |
#2,
4, 5b, 8[3];
and #1ab,
4 |
|
HW
11 |
§15,
p. 136-138 |
#1c,
5, 6, 10, 11 |
|
HW
12 |
§16,
p. 146-147 |
#2ab,
4ab, 5ab |
|
HW
13 |
§16,
p. 146-147 |
#5ef,
6, 10, 11[4], 12 |
|
HW
14 |
§17,
p. 154-155 |
#1,
2, 3, 5bdfhjl, 6 |
|
HW
15 |
§17,
p. 154-155 |
#7,
8, 12, 15c, 16[5] |
|
HW
16 |
§18,
p. 161-162 |
#1,
3c, 4, 6 |
|
HW
17 |
§19,
p. 168-170 |
#1abcd,
2ab, 5abef |
|
HW
18 |
§19,
p. 168-170 |
#1e,
2cde, 4, 11 |
|
HW
19 |
§32,
p. 273-275 |
#2,
3, 4, 5a-e |
|
HW
20 |
§32,
p. 273-275 |
#5fh,
8, 11, 12, 13 |
|
HW
21 |
§33,
p. 282-284 |
#2ab,
3abdefhn, 4b |
|
HW
22 |
§33,
p. 282-284 |
#5a-f,
6, 7, 11[6],
17 |
|
HW
23 |
§34,
p. 289-290 |
#1,
2, 3abcdfj |
|
HW
24 |
§34,
p. 289-290 |
#4,
5ad, 6, 7 |
|
HW
25 |
§20,
p. 177-179 |
#1,
3[7]acfgh,
4ac |
|
HW
26 |
§20,
p. 177-179 |
#5,
6, 11, 12 |
|
HW
27 |
§21,
p. 186-187 |
#2,
3, 6, 8 |
|
HW
28 |
§21,
p. 186-187 |
#10,
13, 15, 16 |
|
HW
29 |
§22,
p. 192-194 |
#1,
3acegi, 4 |
|
HW
30 |
§22,
p. 192-194 |
#7,
10, 12[8],
16 |
|
HW
31 |
§23,
p. 199-201 |
#2,
3abcdg |
|
HW
32 |
§23,
p. 199-201 |
#4a,
5, 9, 11 |
(a) A subset 
is bounded if and
only if there exists 
such that 
, that is, such that 
for all 
.
