MATH0335A-F23
Differential Geometry
Differential Geometry
This course will be an introduction to the concepts of differential geometry. For curves in space, we will discuss arclength parameterizations, Frenet formulas, curvature, and torsion. On surfaces, we will explore the Gauss map, the shape operator, and various types of curvature. We will apply our knowledge to understand geodesics, metrics, and isometries of general geometric spaces. If time permits, we will consider topics such as minimal surfaces, constant curvature spaces, and the Gauss-Bonnet theorem. (MATH 0200 and MATH 0223) 3 hr. lect./disc.
This course will be an introduction to the concepts of differential geometry. For curves in space, we will discuss arclength parameterizations, Frenet formulas, curvature, and torsion. On surfaces, we will explore the Gauss map, the shape operator, and various types of curvature. We will apply our knowledge to understand geodesics, metrics, and isometries of general geometric spaces. If time permits, we will consider topics such as minimal surfaces, constant curvature spaces, and the Gauss-Bonnet theorem. (MATH 0200 and MATH 0223) 3 hr. lect./disc.
- Term:
- Fall 2023
- Location:
- Warner Hall 101(WNS 101)
- Schedule:
- 1:10pm-2:00pm on Monday, Wednesday, Friday (Sep 11, 2023 to Dec 11, 2023)
- Type:
- Lecture
- Course Modality:
- In-Person
- Instructors:
- Emily Proctor
- Subject:
- Mathematics
- Department:
- Mathematics & Statistics
- Division:
- Natural Sciences
- Requirements Fulfilled:
- DED
- Levels:
- Undergraduate
- Availability:
- View availability, prerequisites, and other requirements.
- Course Reference Number (CRN):
- 92522
- Subject Code:
- MATH
- Course Number:
- 0335
- Section Identifier:
- A