MATH 4520 - Classical Geometries and Modern Applications

(MQR-AS, SMR-AS)

Fall. 4 credits. Student option grading.

Prerequisite: MATH 2210, MATH 2230, MATH 2310, or MATH 2940, or permission of instructor. Students will be expected to be comfortable with proofs. Offered alternate years.

Staff.

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.