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Introduction to applied mathematics in cybersecurity focuses on how mathematical concepts and techniques are used to design, analyze, and strengthen systems that protect digital information. It combines areas such as algebra, number theory, probability, statistics, and discrete mathematics to address real-world security challenges, including encryption, data integrity, authentication, and network defense. For example, cryptography relies heavily on number theory and algorithms to secure communication, while probability and statistics help detect anomalies and potential cyber threats in large datasets. By applying mathematical models and problem-solving methods, cybersecurity professionals can create stronger security protocols, evaluate risks, and develop efficient solutions to protect against evolving cyber attacks.
This lecture is part of CYB204 Applied mathematics in cyber in the Cyber Security department. The course has 15 recorded lectures across 5 series, all free to watch.