Differential Geometry

3 credits · Undergraduate

This course is a self-contained introduction to manifold theory. Topics include: elements of surface theory, the tangent space, vector fields, differential forms and more general tensors, the Lie derivative, connections, Riemannian geometry, applications in mechanics and general relativity. PREREQUISITES: MATH 3045.03 or MATH 3502.03 or permission of the instructor CROSSLISTED: MATH 5530.03 FORMATS: Lecture