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MATH 430 Fall 2007
Lecture Summary



Week Tuesday Wednesday Thursday
1 (Sept 10-14) Overview, Polygonal numbers, Sequences (1.1, 1.2) Lab 1 Sequences, Division Algorithm (1.2, 1.3, 2.1)
HW: (1.2) 14 (1.4) 15, 18, 26 (1.5) 1, 4, 10, 12, 22, 33, 34, 38, 50, 54, 69, 70
2 (Sept 17-21) Division Algorithm, Greatest Common Divisor (2.1, 2.2) Lab 2 Euclidean Algorithm, Pythagorean Triples (2.3, 2.4)
HW: (2.1) 19, 27, 36 (2.2) 14, 17 (2.6) 10, 14, 22, 23, 26, 27, 29, 30, 32, 33, 34, 40 (Lab 2) 4, 7, 8
3 (Sept 24-28) More on Pythagorean Triples, Primes (2.4, 3.1) Lab 3 Number Theoretic Functions (3.2, 3.3)
HW: (2.5) 18 (2.6) 49 (3.1) 8, 9, 13, 28, 29 (3.2) 2be, 7, 8, 15, 41, 42 (3.3) 5, 11, 12, 13 (3.8) 6, 22, 23, 24, 33
4 (Oct 1-5) Number Theoretic Functions, Factoring (3.3, 3.4) Lab 4 Greatest Integer Function, Primes (3.5, 3.6)
HW: (3.3) 1, 2, 4, 16, 19 (3.4) 5 (3.5) 2, 4, 5, 7, 8, 11, 13 (3.6) 1, 42 (3.8) 1, 15, 28, 29, 30
5 (Oct 8-12) More on Primes (3.8), Perfect Numbers (4.1) Lab 5 Fermat Primes, Ammicable Numbers, Modular Arithmetic (4.2, 4.3, 5.1)
HW: (3.6) 45 (3.8) 35, 36 (4.1) 3, 9, 11, 15, 17, 19 (4.2) 3 (4.3) 1, 2, 5
6 (Oct 15-19) Modular Arithmetic, Divisibility Criteria (5.1, 5.2) Test 1 Divisibility Criteria, Euler-Fermat Theorem (5.2, 5.3)
HW: (5.1) 2b, 3, 4, 8, 11, 14, 16, 21, 22, 24, 25, 32 (5.2) 2, 10 (5.3) 2, 6, 8abe, 9, 10, 15, 16, 23ab, 24, 25 (5.6) 2, 4, 7, 8, 10, 16, 17, 18, 19
7 (Oct 22-26) Linear Congruences (5.4) Lab 6 Polynomial Congruences (6.1)
HW: (5.3) 19, 28, 29, 41 (5.4) 1, 2, 3, 16, 22 (5.6) 5, 30, 31, 33, 34, 42, 43
8 (Oct 29-Nov 2) Lagrange's Theorem, Wilson's Theorem (6.1) Lab 7 Quadratic Congruences (6.2)
HW: (5.5) 5, 12 (6.1) 1ab, 2a, 3ab, 5, 8, 10 (6.2) 1, 2abefgh, 3abefgh, 4ac, 5a, 6, 7, 11 (6.5) 3, 6, 13, 14, 15, 20
9 (Nov 5-9) Primitive Roots (6.3) Lab 8 Primitive Roots, Applications (6.3)
10 (Nov 12-16) Test 2 Lab 9 Review



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