Students are encouraged to choose a final project topic related to their own research interests, in pure mathematics or any field of application. Some students may choose to focus on reviewing recent publications in a subject related to the course content, while others may focus on original research contributions involving analytical or numerical calculations. Some examples are available below from 2001, when a precursor to 18.366 was offered as 18.325 Topics in Applied Mathematics.
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Reaction-diffusion in porous materials with porosity-dependent diffusion coefficients. (
PDF)
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Modeling draining sand or draining pebbles. (
PDF)
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Continuous-time random walk study of single-molecule spectroscopy. (
PDF)