Intro to Abstract Math

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: Mondays 4-5pm and Wednesdays 1-2pm

Here is the syllabus.
Item Date Information
Homework 1
Tues Sept 4 Course Notes
What is a Theorem/Proof/Axiom ?
Euclid's Elements
The Pythagorean Theorem
Principle of the Contrapositive
Pythagoras Today = The Dot Product
Homework 2
Thurs Sept 13 Course Notes
Square Root of 2 and 3
Proof by Contradiction
Truth Tables
De Morgan's Laws
Introduction to Induction
Abstract Boolean Algebra
Exam 1
Thurs Sept 20 Total: 24 points
Approximate grade ranges:
A = 21 and above
B = 15-20
C = 12-14
Homework 3
Thurs Oct 4 Course Notes
Definition of Z
Well Ordering
Principle of Induction
Homework 4
Tues Oct 23 Course Notes
Division With Remainder
Greatest Common Divisor
Euclidean Algorithm
Linear Diophantine Equations
Unique Prime Factorization
Exam 2
Thurs Oct 25 Total: 24 points
Approximate grade ranges:
A = 20 and above
B = 14-19
C = 10-13
Homework 5
Thurs Nov 15 Course Notes
Rational Numbers
Equivalence Relations
Modular Arithmetic
The Linear Congruence Theorem
Homework 6
Thurs Nov 29 Course Notes
Fermat's Little Theorem
The Binomial Theorem
Euler's Proof of Fermat's Little Theorem
RSA Cryptosystem
Exam 3
Tues Dec 4