Applied Discrete Mathematics

Catalog description

Applied Discrete Mathematics introduces the foundational mathematical structures that underpin modern technology. Topics include logic, Boolean algebra, sets, functions, relations, graphs, combinatorics, and modular arithmetic, with emphasis on their applications to technology concepts such as Boolean algebra and structures, password complexity, access control models, network topologies, and cryptography. Students will not focus on abstract proofs but will instead learn how discrete mathematics informs real-world technology structures and practices. By the end of the course, students will be able to apply mathematical reasoning to technology scenarios, analyze system vulnerabilities through discrete models, and explain the mathematical principles behind technologic architectures and protocols.