Mathematics 452 - Differential Geometry

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 211, MATH 271 or 272, and MATH 355 or MATH 350, or consent of the instructor is required. MATH 378 and MATH 452 may not both be taken for credit. Limited to 25 students.

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.