Course Overview

Comprehensive study of discrete mathematical structures. Key areas included:

Logic and Proofs

• Propositional and predicate logic
• Proof techniques
• Mathematical induction
• Set theory

Combinatorics

• Counting principles
• Permutations and combinations
• Inclusion-exclusion principle
• Generating functions

Number Theory

• Divisibility and primes
• Modular arithmetic
• Cryptography applications

Graph Theory

• Graph properties and representations
• Trees and spanning trees
• Graph coloring
• Network flows

Applications

• Algorithm analysis
• Discrete probability
• Boolean algebra
• Automata theory