Intro to Abstract Math
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What is Mathematics?
Textbook: An Introduction to Mathematical Thinking, by Gilbert and Vanstone. Office Hours: Mondays 2--3pm and Wednesdays 3--4pm | ||
| Assignment | Due Date | Details |
|---|---|---|
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Homework 1 Solutions |
Fri, Sept 13 |
Course Notes Pythagorean Theorem Thales' Theorem Euclid Handout Euclid Online Abraham Lincoln |
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Homework 2 Solutions |
Fri, Sept 27 |
Course Notes Square Root of 2 Boolean Logic Truth Tables What is a "Number"? The Definition of The Division Algorithm |
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Exam 1 Solutions |
Fri, Oct 4 |
Total: 20 points A = 13--19.5 (9 students) B = 9.5--12 (8 students) C = 6--8.5 (8 students) |
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Homework 3 Solutions |
Wed, Oct 23 |
Course Notes Greatest Common Divisor The Euclidean Algorithm Extended Euclidean Algorithm Bézout's Identity Euclid's Lemma Unique Prime Factorization |
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Homework 4 Solutions |
Wed, Nov 6 |
Course Notes The Axiom of Induction Equivalence Relations Rational Numbers Modular Arithmetic |
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Exam 2 Solutions |
Fri, Nov 8 |
Total: 20 points A = 16--19 (7 students) B = 13--15 (11 students) C = 9--12 (5 students) |
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Homework 5 Solutions |
Wed, Nov 6 |
Course Notes Euclid's Proof of Infinite Primes More Induction The Binomial Theorem |
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Homework 6 Solutions |
Fri, Dec 6 |
Course Notes More Binomial Theorem The Freshman's Dream Fermat's little Theorem The RSA Cryptosystem |
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Exam 3 Solutions |
Mon, Dec 9 | In Class |