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Applied Topology
MATH 246
Spring 2022 not offered

This course teaches the main concepts in Applied Topology. Students will learn to apply nonlinear methods to analyze the shape of data sets. These approaches are drawn from classical topology and focus on the shape in one of two ways: they either 'measure' it, that is count the occurrences of patterns within the data set; or build combinatorial representations of the data set. As an example of the former, we will look at persistent homology, whereas the latter will be represented by mapper. The topics covered include: basic notions from topology, simplicial complexes (Cech complexes, Vietoris-Rips complexes, etc.), homology, persistent homology and applications, mapper.
Credit: 1 Gen Ed Area Dept: NSM MATH
Course Format: Lecture / DiscussionGrading Mode: Graded
Level: UGRD Prerequisites: MATH223
Fulfills a Major Requirement for: (CIS)(COMP)(MATH)

Last Updated on MAR-23-2023
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