Introduction to Differential Geometry (342-0-71)

Instructors

Sandy Zabell
8474915564
Lunt 227

Meeting Info

Lunt Hall 102: Mon, Wed, Fri 1:00PM - 1:50PM

Overview of class

Differential geometry of curves and surfaces, and its connections with special and general relativity. Euclidean versus Minkowski geometry. Curves: parametrization, curvature, proper time, coordinate frames. Surfaces: metric tensor and second fundamental form; Gaussian curvature. Intrinsic geometry: theorem egregious, geodesics, space-time, tensors.

Registration Requirements

Math 234
Math 240

Teaching Method

Weekly problem sets, midterm, final exam

Evaluation Method

GA grades homework Professor grades exams.

Class Materials (Required)

Elementary Differential Geometry, Revised 2nd Edition
Barrett O'Neill
Academic Press
978-0120887354

Class Materials (Suggested)

No suggested materials. See required materials

Class Attributes

SoC Mathematics, Science, and Technology Distro

Enrollment Requirements

Enrollment Requirements: Prerequisite: Students must have completed MATH 230-2 (or equivalent) and MATH 240-0 (or equivalent).

Associated Classes

DIS - Lunt Hall 102: Tues 1:00PM - 1:50PM