MATH 4520

Classical Geometries and Modern Applications

Course Description

Course information provided by the Courses of Study 2023-2024. Courses of Study 2024-2025 is scheduled to publish mid-June.

An introduction to projective, hyperbolic, and spherical geometry and their modern applications.  The course will be divided into short modules with an emphasis on participation, discovery, and student projects and presentations. In addition to proving theorems, students will have the opportunity to make, build, 3D print, or program something related to the course material as a project component. We will cover classical theorems and techniques (e.g. stereographic projection and conics), and also see how classical geometry is used in and relates to other areas of mathematics (e.g. topology, via Euler characteristic) and in applications such as computer vision, networks, or architectural drawing.

When Offered Fall.

Prerequisites/Corequisites Prerequisite: MATH 2210, MATH 2230, MATH 2940, or equivalent.

Distribution Category (MQR-AS, SMR-AS)

Comments Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course. Offered alternate years.

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