Spring 2024

Differential Geometry

Listed in: Mathematics and Statistics, as MATH-452

Description

This course will explore the geometry of curves, surfaces and higher dimensional geometric objects in n-dimensional Euclidean space.  For curves, the key concepts are curvature and torsion, while for surfaces, the key players are Gaussian curvature, geodesics, and the Gauss-Bonnet Theorem.  Other topics covered may include (time permitting) two-dimensional Riemmanian geometry, differential forms and manifolds. MATH 378 and MATH 408 may not both be taken for credit.

Spring semester. Professor Contreras

How to handle overenrollment: Preference given to seniors.

Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, in-class quizzes or exams, take-home exams, in-class group work.

Offerings

2022-23: Not offered
Other years: Offered in Spring 2024