John Weeks | Texas A&M University
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Note: All notes sections not yet covered in class are subject to change as the semester progresses.
Section 0-1: Before the First Proof
Section 0-2: A Taste of Number Theory
Section 1-1: Introduction to Logic
Section 1-2: Techniques of Proof: Direct Proof
Section 2-1: More Techniques of Proof
Section 2-2: Proof by Contradiction
Section 2-3: Two Major Theorems
Section 2-4: Predicates and Quantifiers
Section 3-1: Induction
Section 3-2: Complete Induction and Well-Ordering Principle
Section 4-1: Sets
Section 4-2: Power Sets and Cartesian Products
Section 4-3: Arbitrary Unions and Intersections
Section 5-1: Functions
Section 5-2: Injective and Surjective Functions
Section 5-3: Composition of Functions
Section 5-4: Inverse Functions
Section 5-5: Functions and Sets
Section 6-5: Modular Arithmetic
Section 7-1: Relations
Section 7-2: Equivalence Relations
Section 7-3: Partitions