Intro to Abstract Math
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There is no required textbook. All lecture notes will be posted here. For further reading I recommend An Introduction to Mathematical Thinking by Gilbert and Vanstone.
Office Hours: Mon 3-4pm and Wed 2-3pm in Ungar 437 Here is the syllabus. | ||
| Item | Date | Information |
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Homework 1 Solutions |
Thurs Jan 31 |
Course Notes What is a Theorem/Proof/Axiom ? Euclid's Elements The Pythagorean Theorem Principle of the Contrapositive Pythagoras Today = The Dot Product |
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Homework 2 Solutions |
Thurs Feb 14 |
Course Notes Proof by Contradiction Square Roots of 2 and 3 Logic for Mathematicians De Morgan's Laws First Look at Induction |
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Exam1 Solutions |
Thurs Feb 21 |
Total: 24 points Approximate grade ranges: A = 20 and above B = 15-20 C = 11-14 |
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Homework 3 Solutions |
Thurs Mar 7 |
Course Notes Definition of Z Well Ordering Principle Principle of Induction Division With Remainder |
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Homework 4 Solutions |
Thurs Mar 28 |
Course Notes Greatest Common Divisor Euclidean Algorithm Linear Diophantine Equations Unique Prime Factorization |
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Exam2 Solution |
Thurs Apr 4 |
Total: 24 points Approximate grade ranges: A = 19 and above B = 15-18 C = 11-15 |
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Homework 5 Solutions |
Thurs Apr 18 |
Course Notes Rational Numbers Modular Arithmetic Linear Congruence Theorem Fermat's Little Theorem |
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Exam3 Practice |
Thurs Apr 25 | In Class |