Geometry and Topology (440-1-41)

Instructors

Aaron W Brown

Meeting Info

Lunt Hall 103: Mon, Wed, Fri 10:00AM - 10:50AM

Overview of class

440-1,2,3 GEOMETRY/TOPOLOGY
Fall Quarter (Introduction to differentiable manifolds):

Differentiable manifolds; implicit function theorem and Sard's theorem;tangent vectors and tensors; vector fields and flows; integral manifolds and Frobenius's theorem; differential forms, orientation and integration;
Riemannian metrics, the Levi-Civita connection, geodesics, and the exponential map.

Class Materials (Required)

978-14419-9981-8
Introduction to Smooth Manifolds
Author: Lee
Publisher: Springer

Class Materials (Suggested)

No suggested materials. See required materials