Math 322: Tasks

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Math 322: Class Schedule

Mon	Wed	Fri
		30 August Introduction Basic Properties of Integers
2 September No Class: Labor Day Holiday	4 September Reading : 1.1-1.2 (1993) Summation and products	6 September Reading : 1.3 (1993) Mathematical induction Due: Section 1.1 (1993)
9 September Reading : 1.4 (1993) Binomial coefficients	11 September Reading : 1.3 (2000) Fibonacci Numbers Due: Section 1.2, 1.3, 1.4 (1993)	13 September Reading : 1.4 (2000) Divisibility
16 September Reading : 3.1 Prime numbers	18 September Reading : 3.2 Greatest common divisors Due: Section 1.3, 1.4, 3.1 (2000)	20 September Reading : 3.3 Euclidean algorithm
23 September Reading : 3.4 Fundamental theorem of arithmetic	25 September Reading : 3.5 Fermat numbers and factorization methods Due: Section 3.2, 3.3, 3.4	27 September Reading : 3.6 Linear diophantine equations
30 September Solutions to 3.2-3.4	2 October TEST 1 - with in class and take home components. Due: Section 3.5, 3.6	4 October Reading : 4.1 Congruences
7 October Reading : 4.2 Linear congruences	9 October Reading : 4.3 Chinese remainder theorem Due: Section 4.1, 4.2	11 October Reading : 4.4 & 4.5 Solving Polynomial Congruences and Systems of linear congruences
14 October No Class: Fall Holiday	16 October Reading : 6.1 Wilson's theorem and Fermat's little theorem	18 October Reading : 6.2 Pseudoprimes Due: Section 4.3
21 October More on pseudoprimes	23 October Reading : 6.3 Euler's theorem Due: Section 4.4, 4.5, 6.1,	25 October Skim applications of congruences in Chapter 5. Work on presentations in class.
28 October Reading : 7.1 Euler's phi function	30 October Reading: 7.2 Sum and Number of Divisors Due: Section 6.2, 6.3, 7.1	1 November Reading: 7.4 Möbius Inversion
4 November Application presentations Rado and Gabe: Check digits Anto and Deja: Round Robin Tournaments	6 November Application presentations Veronica: Perfect Numbers and Mersenne Primes Olivia: Perpetual Calendar Katie and Sharon: Continued Fractions Due: Section 7.2, 7.4	8 November TEST 2 - take home components handed out. Joey and Nick: Divisibility Tests Arryis: Hashing Functions Rob: Pollard Rho Factorization
11 November TEST 2 - in-class portion. Take home components due at 4 pm.	13 November Application presentations Jon and Heather: Crytography Reading 9.1: Primitive roots Due: Your assigned problems part 1	15 November
18 November Reading 9.1, 9.2, 9.3: More on Primitive Roots1	20 November Even More on Primitive Roots Due: Article selection for final paper to be submitted by today. Your assigned problems part 2	22 November No class today. Please read the following on your own 11.1 Quadratic Residues 11.2 The Law of Quadratic Reciprocity 11.3 The Jacobi symbol EXTRA CREDIT ASSIGNMENT: Go see Arcardia in the Keck Theater. Bring me your ticket stub and a one paragraph review; I will give you 10 extra homework points.
25 November Breakfast Party. Please Come EARLY (by 8:20) Film to start at 8:25 sharp. Video: The Proof Reading : 13.1, 13.2 Fermat's last theorem Due: Section 9.1, 9.2, 9.3	25 November No Class: Thanksgiving Holiday	27 November No Class: Thanksgiving Holiday
2 December Reading : 13.1, 13.2 Pythagorean triples and Fermat's last theorem	4 December Off book. Elliptic Curves. Mordell's Theorem, Torsion Collections	6 December Off book. Elliptic curve solutions mod p, p-defects, modularity patterns, connections to Fermat. Article Review due.

Last updated 05 December, 2002