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: | Graded Assignments (15%) - Best 5 of
6 (or so). Exams (50%*) - Wednesday: October 2, November 6, December 4. Final Exam (30%*) - Cumulative: Wednesday, December 17 & Monday, December 23. |
* The Final Exam grade, if higher than your lowest Exam grade, will replace the lowest Exam grade.
COURSE
OUTLINE
Topic |
Chapter |
Sections |
Logic and Proofs | 1 |
1 - 6 |
Integers and Diophantine Equations (if time permits) | 2 |
4, 5 |
Induction and the Binomial Theorem | 4 |
1 - 3 |
Rational and Real Numbers | 5 |
1 - 4 |
Functions and Bijections | 6 |
1 - 8 |
Complex Numbers | 8 |
1 - 7 |
Polynomial Equations | 9 |
1 - 4 |
# |
Date |
Chapter |
Sections | Page |
Problems |
1 |
1 |
1
- 4 |
20 |
1 - 6, 12
- 22, 26 - 39, 41 - 54, 55 - 61 odd |
|
2 |
1 |
5,
6 |
20 |
65, 66, 70, 75, 77, 82 - 84 | |
3 |
4 |
1,
2 |
104 |
2,
4, 6, 8, 11, 12, 16, 18 - 23, 32, 33 |
|
4 |
4 |
3 |
106 |
36,
37, 40, 42, 45, 47, 56, 63, 65 |
|
5 |
5 |
1
- 4 |
121 |
3,
6 - 8, 23, 26, 29, 31, 32, 35, 45, 47 - 50 |
|
6 |
6 |
1
- 8 |
153 |
15,
18 - 21, 23, 24, 28, 39 - 41 |
|
7 |
8 |
1
- 5 |
218 |
1
- 21 odd, 26, 36, 39, 40, 44, 45, 47 - 50, 52, 55 -
58 |
|
8 |
8 |
6,
7 |
219 |
59
- 65 odd, 66 - 68, 70 - 73, 77, 84, 86, 89, 90, 93 -
99, 102, 103, 106, 111, 136, 137, 139 |
|
9 |
9 |
1
- 4 |
262 |
13
- 16, 42 - 45, 47, 49, 50, 51, 53, 55, 57, 61, 63 |