2090.008,  Fall 1999
The Structure of the Number System
Conley

 This page is not an official publication of  the University of North Texas.

INSTRUCTOR:   Charles Conley,  GAB  475,  (940)  565 - 3326

OFFICE HOURS:   Monday and Wednesday,  11:30 - 12:30,  and Tuesday and Thursday,  11 - 12

PREREQUISITE:   1100, College Algebra (this prerequisite will be strictly enforced)

CLASS MEETS:   Tuesday and Thursday,  2:00 - 3:20,  Language Building,  Room 113

TEXT:   A Problem Solving Approach to Mathematics, by Billstein, Libeskind, and Lott

FINAL EXAM:   Tuesday,  December 14,  1:30 - 3:30,  MIDTERMS:   Thursday, Sept. 30; Thursday, Oct. 28; and Tuesday, Nov. 25

NOTES:   Calculators will not be allowed in this section, and this course does not satisfy the College of Arts and Sciences mathematics core requirement. You are welcome to download the DOS shareware program Math by Example designed for students in grades 1-6, and projects recently assigned in math classes at UNT can be found in the UNT Mathematics Projects home page.

It is the responsibility of students with certified disabilities to provide the instructor with appropriate documentation from the Dean of Students Office.

FINAL EXAM:  Tuesday,  December 14,  1:30 - 3:30, in the usual room.  It will be comprehensive.

NOTES:   (a)  YOU MAY USE ONE REGULAR-SIZE PIECE OF PAPER WITH NOTES ON BOTH SIDES ON THE TEST
(this reverses the "no notes" statement on the review sheet).

(b)  Cross problem 12c off of the review sheet, the final will not cover it.

REVIEW SHEET ANSWERS:  (email me if you need clarification or think there is an error)

1.   -64/3.
2.   (a)  4  (b)  3  (c)  6.
3.   (a)  1102  (b)  851  (c)  1122  (d)  E01T  (e)  43.
4.   (a)  2^3 x 3 x 5^2 x 7,  48 divisors  (b)  2 x 3^2 x 17,  12 divisors  (c)  11 x 29,  4 divisors
(d)  641,  2 divisors  (e)  47 x 53,  4 divisors.
5.   (a)  37  (b)  2^7 x 3 x 5 x 13^2.
6.   (a)  8  (b)  6  (c)  6.
7.   (a)  2^27 x 3^15 x 5^30  (b)  second is smallest, last is mid-sized, first is largest  (c)  21 and  3 x root(11)  (d)  root(5) + root(2).
8.   (a)  5/11  (b)  8/55  (d)  the first one.
9.   (a)  11/36  (b)  5/18.
10.  (a)  1/216  (b)  91/216.
11.  (a)  2/495  (b)  16/165  (c)  2^5 / 11^4  (d)  2^8 x 3 / 11^4.
12.  (a)  26^10  (b)  26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17  (c)  skip  (d)  The number of sets of 10 scrabble blocks
with no repeated letters is 5 x 11 x 13 x 17 x 19 x 23  (e)  2^10  (f)  11 x 13 x 17 x 19 / 2^8.

HOMEWORK  11,  Due Thursday, Dec. 9:

8.5:  1 through 13, and 15 through 23

HOMEWORK  10,  Due Thursday, Dec. 2:

8.1:  3, 4, 5, 9, 10, 11, 13efg, 15, 17, 21

8.2:  2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 17, 19, 24, 26, 27, 28

EXAM 3:  Tuesday,  Nov. 23

HOMEWORK  9,  Due Tuesday, Nov. 23.  As usual, on problems that tell you to use a specific method,
you may use any method:

6.2:  7, 8, 9, 12, 15, 16, 18, 21, 22, 23, 31, 34

6.3:  1, 2, 4, 7, 8, 9, 15, 16, 20c, 25abc, 49

Chapter 6 Review Problems 5, 6 (page 334)

HOMEWORK  8,  Due Tuesday, Nov. 16.  As usual, on problems that tell you to use a specific method,
you may use any method:

4.6:  3, 4, 5b, 6, 9, 10, 14, and Chapter 4 Review Problem 32 (page 249)

5.3:  3adef, 5abd, 6, 28ab, 29, 30, 33ab

6.1:  1, 2, 5, 7, 11, 13, 15, 16, 18, 19

HOMEWORK  7,  Due Thursday, Nov. 4 (on problems that tell you to use a specific method,
you may use any method):

4.5:  1, 2, 3, 4, 5, 7a, 10, 12, 15, 16, 17, 18

Chapter 4 Review, p. 249:  20, 21

5.1:  7, 9abcfg, 11, 12, 13, 22

5.2:  1abghi, 4, 8, 22ab

EXAM 2:  Thursday,  Oct. 28

HOMEWORK  6,  Due Tuesday, Oct. 26  (I will have it graded by Wednesday, Oct. 27, when you can pick it up in my office.
If you wish to turn it in this Thurdsday, I will grade it for you by Tuesday):

4.3:  11, 12, 13, 14, 17bdf, 18, 23, 27, 30, 34, 36

4.4:  1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 16a, 18, 19, 20abc, 25, 26, 27, 28, 31, 33, 42

HOMEWORK  5,  Due Thursday, Oct. 14 (on problems that tell you to use a specific method,
you may use any method):

4.1:  2a, 3ac, 13, 29abc, 31ab, 32, 35

4.2:  6 (but not c,e), 11, 12, 19abf, 23a, 24, 25, 27

4.3:  1, 2, 3, 4, 5abc, 6, 7, 8, 9, 10

HOMEWORK  4,  Due Thursday, Oct. 7 (on problems that tell you to use "scratch addition" or "lattice multiplication,"
you may use any method):

3.4:  1bd, 3b, 4b, 13d, 18, 19, 25, 26, 29, 32, 34

3.5:  5, 6, 7, 18, 21, 34, 35, 36

Chapter Review (page 171):  1bcde, 2de, 3, 9cd, 11

EXAM 1:  Thursday,  Sept. 30

HOMEWORK  3,  Due Tuesday, Sept. 28:

3.1:  7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24, 25

3.2:  4bd, 7ab, 8, 9, 10, 11, 13, 14a, 15, 16a, 18

3.3:  5, 6, 8, 17, 18, 20

HOMEWORK  2,  Due Tuesday,  September  21  (NOTE CHANGE IN DUE DATE!):

2.1:   3ad, 4a, 5, 7ab, 8, 16a, 17

2.2:   2bdfg, 3, 4, 5, 6, 8, 9, 10a, 11a, 17, 18, 19, 22, 30, 31, 34, 36

HOMEWORK  1,  Due Thursday,  September  9:

1.1:   2, 3 (find the hundredth term only), 5b, 6, 9a, 13, 14, 19, 20, 21b, 23ab

27, 28, 32, 36cd (hundredth term only)

1.2:   1c, 3, 7, 9, 11, 12, 13, 14, 16a, 17, 20, 21, 22b, 23, 24b, 28, 35

Note:  The following problems are tricky, and I suggest you try them last:

36d in 1.1, and 23, 28, and 35 in 1.2