Course Content
Module 1: Basic Set Theory
Module 2: Modular Arithmetic, Divisibility, and the Fundamental Theorem of Arithmetic
Module 3: Functions and Relations
Module 4: Truth Tables and Symbolic Logic
Module 5: Basic Direct Proofs
Module 6: Proof Techniques Part 1: Contrapositive and Contradiction
Module 7: Sequences, Sums, and Products
Module 8: Proof Techniques Part 2: (Weak) Induction
Module 9: Recurrence Relations and Recursion
Module 10: Counting Systems (Binary, Hex, Octal, etc.)
Module 11: Combinatorics
Module 12: Graph Theory
Module 13: Review