# Math 474

**Instructor:** Dr. Clayton Shonkwiler

**Time:** Monday, Wednesday, Friday 2:00–2:50

**Location:** Engineering E205

**Office:** Weber 216

**Office Hours:** Wednesday 1:00–2:00 and 3:00–4:00, Thursday 1:00–2:00, and by appointment

**Email Address:** clayton@math.colostate.edu

**Text:** *Differential Geometry: A First Course in Curves and Surfaces*, by Theodore Shifrin

**Syllabus**

## Overview

The course provides an introduction to the differential geometry of curves and surfaces, including the relevant notions of curvature, with an emphasis on global theory.

The following books may be useful additional resources:

*Differential Geometry of Curves and Surfaces*, by Manfredo P. Do Carmo*Elementary Differential Geometry*, by Barrett O’Neill*Elementary Differential Geometry*, by Andrew Pressley*Differential Geometry of Curves and Surfaces*, by Thomas Banchoff and Stephen Lovett*Geometry from a Differentiable Viewpoint*, by John McCleary