Discrete Mathematics

overview

Summary

Discrete mathematics studies finite, countable structures used in computing. Core areas include logic and proof, sets and relations, functions, combinatorics, graphs, and number theory. You will model problems, design algorithms, and verify correctness using induction, invariants, and logical equivalences. Counting principles, recurrence relations, and graphs support complexity analysis and optimization. Mastering these tools strengthens data structure design, cryptography basics, and formal specifications. Expect to translate real problems into precise abstractions that code can implement, test, and reason about.