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Canvas, Tues 9am Zoom |
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Section (topics) |
By (date) |
Read (chapter) |
Practice (discuss) |
Homework
(submit) |
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Part 1
Induction and Divisibility |
1/5 1/7 1/9 |
§1.1 Induction
(guide)
§1.2 Binomial Theorem (guide) §2.1 Early Number Theory (guide) |
Practice 1
solutions |
HW 1
Due 1/14 solutions |
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1/12 1/14 1/16 |
§2.2 Division Algorithm
(guide)
§2.3 Greatest Common Divisor (guide) §2.4 Euclid's Algorithm (guide) |
Practice 2
solutions |
HW 2
Due 1/21 solutions |
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1/21 1/23 1/30 |
§2.5 Diophantus' Equations
(guide)
§3.1 Prime Factorization (guide) §3.2 Eratosthenes' Sieve (guide) |
Practice 3
solutions |
HW 3
Due 2/4 solutions |
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| Exam One |
Weds Jan 28 |
Emphasizes HW 1,2,3* (optional)
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review review solutions |
solutions | |
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Part 2
Primes and Congruences |
2/2 2/4 2/6 |
§3.3 Goldbach's Conjecture
(guide)
§4.2 Basic Congruences (guide) §4.3 Decimal Representations (guide) |
Practice 4
solutions |
HW 4
Due 2/11 solutions |
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2/9 2/11 2/13 |
§4.4 Sun-zi's Remainder Theorem
(guide)
§5.2 Fermat's Little Theorem (guide) §5.3 Wilson's Theorem (guide) |
Practice 5
solutions |
HW 5
Due 2/18 solutions |
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2/16 2/18 2/20 |
§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 3/4 solutions |
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| Exam Two |
Weds Feb 25 |
Emphasizes HW 4,5,6* (optional)
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review review solutions |
solutions | |
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Part 3
Special Numbers |
2/27 3/2 |
§7.3 Euler's Theorem
(guide)
§8.1 Orders of Integers (mod n) (guide) |
Practice 7
solutions |
HW 7
Due 3/11 |
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3/6 3/11 |
§8.2 Primitive Roots
(guide)
§11.2 Perfect Numbers (guide) |
Practice 8
solutions |
HW 8
Due 3/16 |
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| Exam Three |
Mon Mar 16 |
9:00-10:50 - Cumulative
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