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In lieu of more conventional advanced Spanish classes, paralleling a series of often disparate tutorials, with tutees working in relative isolation, the proposal is to allow students free reign over an idea for a final, term-long project, while concurrently offering them an educated, exoteric audience to assist in fleshing out their work.
Discrete mathematics studies problems that can be broken up into distinct pieces. Some examples of these sorts of systems are letters or numbers in a password, pixels on a computer screen, the connections between friends on Facebook, and driving directions (along established roads) between two cities. In this course we will develop the tools needed to solve relevant, real-world problems. Topics will include: combinatorics (clever ways of counting things), number theory and graph theory. Possible applications include probability, social networks, optimization, and cryptography.