Lecture 15: Relations and Counting

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A relation consists of a domain, a codomain, and a subset of ordered pairs. This lecture examines relations on a single set, equivalence relations, and partial orders. Then, we introduce counting.

Source: Zachary Abel, Mathematics for Computer Science (MIT: OpenCourseWare). Licensed under CC BY-NC-SA 4.0.

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MIT 6.1200J: Mathematics for Computer Science

This course covers elementary discrete mathematics for science and engineering, with a focus on mathematical tools and proof techniques useful in computer science. Topics include logical notation, sets, relations, elementary graph theory, state machines and invariants, induction and proofs by contradiction, recurrences, asymptotic notation, elementary analysis of algorithms, elementary number theory and cryptography, permutations and combinations, counting tools, and discrete probability.