 |
|
||||
|
Section (topics) |
By (date) |
Read (chapter) |
Practice (discuss) |
Homework
(submit) |
|
|
Part 1
Induction and Divisibility |
9/30 10/2 10/2 |
§1.1 Induction
(guide)
§1.2 Binomial Theorem (guide) §2.1 Early Number Theory (guide) |
Practice 1
solutions |
HW 1
due Oct 9 solutions |
|
|
10/7 10/7 10/9 |
§2.2 Division Algorithm
(guide)
§2.3 Greatest Common Divisor (guide) §2.4 Euclid's Algorithm (guide) |
Practice 2
solutions |
HW 2
due Oct 16 solutions |
||
|
10/14 10/14 10/16 |
§2.5 Diophantus' Equations
(guide)
§3.1 Prime Factorization (guide) §3.2 Eratosthenes' Sieve (guide) |
Practice 3
solutions |
HW 3
due Oct 30 solutions |
||
| Exam One |
Weds Oct 23 |
Covers material through HW 3
|
review review solutions |
exam exam solutions |
|
|
Part 2
Primes and Congruences |
10/21 10/28 10/28 |
§3.3 Goldbach's Conjecture
(guide)
§4.2 Basic Congruences (guide) §4.3 Decimal Representations (guide) |
Practice 4
solutions |
HW 4
due Nov 6 solutions |
|
|
10/30 11/4 11/4 |
§4.4 Sun-tzu's Remainder Theorem
(guide)
§5.2 Fermat's Little Theorem (guide) §5.3 Wilson's Theorem (guide) |
Practice 5
solutions |
HW 5
due Nov 13 solutions |
||
| Exam Two |
Weds Nov 20 |
Covers material through HW 5
|
review review solutions |
||
|
Part 3
Special Numbers |
11/6 11/13 11/18 |
§5.4 Fermat's Factorizations
(guide)
§6.1 Sigma and Tau Functions (guide) §7.2 Euler's Phi Function (guide) |
Practice 6
solutions |
HW 6
due Nov 27 |
|
|
11/25 11/27 |
§7.3 Euler's Theorem
§8.1 Orders of Integers (mod n) |
Practice 7
solutions |
HW 7
due Dec 4 |
||
|
11/27 12/2 |
§8.2 Primitive Roots
§11.2 Perfect Numbers |
Practice 8
solutions |
HW 8
due Dec 10 |
||
| Exam Three |
Tues Dec 10 |
Covers material through HW 8
|
|
||
Back to my home page.