| Text: |
An Introduction to Mathematical Thinking: Algebra and
Number Systems, by William J. Gilbert and Scott A. Vanstone. Pearson Prentice Hall, 2005. ISBN: 0-13-184868-2 |
| Grading: | Assignments
(10%) – Best 4 of 5 (or
so). Exams (60% or 40%*) – October 7, November 11 (e-mailed), December 16. Final Exam (30% or 50%*) – Cumulative: Monday, December 21 & Wednesday, December 23. |
***
First Hand-In Assignment (Unsolved
Problem report) due Monday, Oct. 5 ***
* The Final Exam grade, if higher than your lowest
Exam grade, will replace the lowest Exam grade.
Make-up exams may be given by special arrangement in
advance, otherwise the
Final Exam grade will be
used in it's place (see above).
Note: No grade of
"W" will automatically be given by me!! If you desire a "W,"
you
must process a withdrawal form that is signed by me!!!
COURSE
OUTLINE
|
|
|
|
Logic and
Proofs |
|
|
Integers
and
Diophantine Equations |
|
|
Induction
and
the Binomial Theorem |
|
|
Rational and Real Numbers |
|
|
Functions
and
Bijections |
|
|
An
Introduction to Cryptography (if time permits) |
|
|
Complex Numbers |
8 |
|
Polynomial
Equations |
|
| # |
Date |
Chapter |
Page |
Problems |
|
1 |
9/14 9/21 |
1 |
20 |
1 -
6, 12 - 21, 26 - 39, 41 - 50, 55 - 61 odd, 65, 66, 70, 75, 77, 82 - 84 |
|
2 |
2 |
50 |
9,
12 - 20, 24, 28, 30 - 47, 51 - 60, 68 |
|
|
3 |
2 |
52 |
75
- 79, 82, 87, 88, 92 - 95, 99 - 106, 108 |
|
|
4 |
9/30 (Induction) |
4 |
104 |
2,
4 - 8, 11, 12, 14, 18 - 23, 28, 30, 32 - 37, 39, 42 |
|
5 |
10/5 |
4 |
106 |
43,
45, 50, 51, 56 - 60, 63, 65, 68, 75 - 77 |
|
6 |
10/14 |
5 |
121 |
3,
4, 6 - 9, 17, 18, 20, 28, 29, 35, 37, 45 - 50 |
|
7 |
10/21 |
6 |
153 |
1 -
6, 8, 12, 16, 17, 19 - 21, 24, 26, 35 - 41, 45, 48, 53, 54 |
|
8 |
10/28 |
6 |
156 |
61
- 66, 72 - 78, 84, 86, 92, 95, 102, 111, 112 |
|
9 |
- |
7 |
180 |
1 -
9 odd, 13, 17, 20, 21, 24, 25, 29, 31, 35, 38, 40, 43, 50, 51 |
|
10 |
11/4 |
8 |
218 |
9, 12,
15, 36, 39 - 59 odd, 60 - 67, 70, 73, 76, 81, 84, 89, 96 - 98, 100, 103 |
|
11 |
11/9 |
8 |
221 |
104, 106 - 109, 111, 113, 114, 116 - 118, 120, 126, 131, 132, 135 |
|
12 |
9 |
262 |
15
- 17, 22, 28, 31, 36, 39, 40, 44, 45, 49, 53 - 57, 63, 81, 85, 91, 93 |
|
|
13 |
9 |
265 |
102, 114 - 116, 123, 129, 132, 133, 152, 153, 161 |