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