**Instructor:** Bobby Wilson

**Email:** blwilson [at] math . mit .edu

**Office:** Room 2-171

**Office Hours:** Wednesdays 1- 3 pm, Thursdays 2-3pm

**Lectures:** M W 9:30 - 11:00 am 2-143

**Grader:** Donghao Wang

## COURSE DESCRIPTION

Introduction to differential geometry, centered on notions of curvature. Starts with curves in the plane, and proceeds to higher dimensional submanifolds. Computations in coordinate charts: first and second fundamental form, Christoffel symbols. Discusses the distinction between extrinsic and intrinsic aspects, in particular Gauss' theorema egregium. The Gauss-Bonnet theorem. Geodesics. Examples such as hyperbolic space.

**Prerequisites:** 18.100A, 18.100B, 18.100P, or 18.100Q; 18.06, 18.700, or 18.701

**Text Book:** "Differential Geometry of Curves and Surfaces", M. do Carmo

## RECENT UPDATE

**[02.07.2018]** Welcome to the spring semester!

**[02.12.2018]** Pset 1 Posted