18.200 Principles of Discrete Applied Mathematics
18.200 Principles of Discrete Applied Mathematics (Spring 2024, MIT OCW). Instructors: Prof. Ankur Moitra, Prof. Peter Shor, and Susan Ruff. This course will teach you illustrative topics in discrete applied mathematics, including counting, generating functions, probability, linear optimization, algebraic structures, basic number theory, information theory, and coding theory. It is a CI-M (Communication Intensive in the Major) course and thus includes a writing component. (from ocw.mit.edu)
| Lecture 01 - Pigeonhole Principle |
We first describe the mechanics of the course. We then discuss the pigeonhole principle, explaining what it is and giving several surprising applications of it. Then we briefly discuss foundations of probability and sample spaces.
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