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Differential equations are a powerful and pervasive mathematical tool in the sciences and are fundamental in pure mathematics as well. Almost every system whose components interact continuously over time can be modeled by a differential equation, and differential equation models and analyses of these systems are common in the literature in many fields including physics, ecology, biology, astronomy, and economics.
I would (and will) argue that Newton's Principia is the most important book yet written. It is certainly the most important book that a vanishingly small number of people have actually read.
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. Faculty will provide key secondary and tertiary reading, common to all, some with immediate relevance to the projects in question, some deemed necessary for any culminating work, but the primary content of these sessions will be student-driven.
Low-intermediate level. More details to be announced soon.
High-intermediate level. More details to come soon.