1. Section A:
M/W
2. Section B:
T/Th
Exams: There will be a midterm, a
final, and a project/presentation. Your grade will be determined by homework(40%), midterm(20%), final exam(20%), and
presentations(20%). Tentative exam and
project dates are listed below.
Assignments: Homework will be assigned daily and graded weekly. Tentative
assignments are below. Assignments in BOLD RED
are to be handed in.
|
DAY |
Date Section A |
Date Section B |
Chapters |
Topic in class |
Assignment |
|
1 |
9/6 |
9/5-7 |
1 |
Introduction to number
theory, squares, primes. |
OctaPuzzle Find the
largest prime Is 1234567 prime? Puzzle on Info sheet |
|
2 |
9/11 |
9/12 |
1, 2 |
Pythagorean triples |
Find a
proof of the Pyth. theorem Exploration: 1.3, 1.4abc |
|
3 |
9/13 |
9/14 |
2 |
Pythagorean triples |
Read Ch
2, 4 Exploration: 2.3 |
|
4 |
9/18 |
9/19 |
4, 5 |
Fermat’s Last Thm,
Divisibility |
|
|
5 |
9/20 |
9/21 |
5 |
Divisibility, Greatest Common Divisors |
Computation: 5.1 Exploration: 5.4 |
|
6 |
9/25 |
9/26 |
5, 6 |
Linear Equations |
|
|
7 |
9/27 |
9/28 |
6 |
Linear Equations |
Computation: 6.1, 6.2 Write a paragraph or two about the film |
|
8 |
10/2 |
10/3 |
Film: Preston Theater |
Fermat’s Last Thm. |
|
|
9 |
10/4 |
10/5 |
7 |
Prime Factorization |
Exploration: 7.4 |
|
10 |
10/11 |
10/12 |
8 |
Congruences |
Computation: 8.3 |
|
11 |
10/16 |
10/17 |
8 |
Congruences |
Computation: 8.5, 8.6 |
|
12 |
10/18 |
10/19 |
8, 9 |
Fermat’s Little Thm |
|
|
13 |
10/23 |
10/24 |
9 |
Fermat’s Little Thm,
Review for midterm |
|
|
14 |
10/25 |
10/26 |
extra |
Applications of Modular
arithmetic Midterm given out |
Midterm Computation: 9.1 Reasoning:
9.4 |
|
15 |
10/30 |
10/31 |
10 |
Euler’s Formula |
Exploration: 9.2, 9.3 (in
class) |
|
16 |
11/1 |
11/2 |
11 |
Euler’s Formula, Phi Function |
Computation: 10.2, 11.1 |
|
17 |
11/6 |
11/7 |
11 |
Chinese Remainder Theorem |
Computation: 11.5 |
|
18 |
11/8 |
11/9 |
12, 13 |
Prime Numbers |
13.3, soldiers, fact
about primes |
|
19 |
11/13 |
11/14 |
14 -15 |
Mersenne Primes |
|
|
20 |
11/15 |
11/16 |
14-15 |
Perfect Numbers |
Exploration: 14.1,
15.3(a) |
|
21 |
11/20 |
11/21 |
18 |
Cryptography |
|
|
22 |
11/27 |
11/28 |
16 |
Successive Squares |
16.1 |
|
23 |
11/29 |
11/30 |
17 |
Kth Roots |
17.1, 18.1 |
|
24 |
12/4 |
12/5 |
18 |
Cryptography |
Computer Lab: 18.4 Respond to my message
(k=5,m=1081) |
|
25 |
12/6 |
12/7 |
Extra |
Digital Signatures |
Computer Lab: 16.3, 16.5,
17.2 |
|
26 |
12/11 |
12/12 |
Extra |
Cryptography |
Digital
signatures, in class |
|
|
12/13 |
12/14 |
Reg day |
Meet about presentations |
|
|
27 |
12/18 |
12/19 |
Presentations |
Final exam given out, due the next day |
|
|
28 |
12/20 |
12/21 |
Presentations |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|