Clayton Shonkwiler

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

Lecture Notes


Exam 1

Exam 2

Final Exam


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