Intro to Abstract Math
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Here are your answers to the question: What is Mathematics?
Textbook: An Introduction to Mathematical Thinking, by Gilbert and Vanstone. Office Hours: Monday 1:00-2:30 and Wednesday 3:00-4:00 | ||
| Assignment | Due Date | Details |
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Homework 1 Solutions |
Fri, Sept 7 |
Course Notes Pythagorean Theorem Square Root of 2 Euclid Handout Euclid Online Abraham Lincoln |
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Homework 2 Solutions |
Wed, Sept 19 |
Course Notes Logical Equivalence Truth Tables What is a "Function"? What is a "Bijection"? |
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Exam 1 Solutuions |
Fri, Sept 21 | In Class |
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Homework 3 Solutions |
Fri, Oct 12 |
Course Notes What is a "Number"? Definition of Z From Diophantus to Fermat Hypatia |
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Homework 4 Solutions |
Mon, Oct 22 |
Course Notes Division Algorithm Euclidean Algorithm Bézout's Identity Euclid's Lemma Unique Prime Factorization (FTA) |
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Exam 2 Solutions |
Wed, Oct 24 | In Class |
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Homework 5 Solutions |
Fri, Nov 16 |
Course Notes Well-Ordering Peano Arithmetic Principle of Induction Fibonacci Numbers |
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Homework 6 Solutions |
Wed, Nov 28 |
Course Notes Binomial Theorem Binomial Coefficients "n choose k" Fermat's little Theorem and a bit of Cryptography |
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Exam 3 Practice Solutions |
Fri, Nov 30 | In Class |