Your next reading complements our in-class discussion of the geometry of curves and surfaces. In particular, you should read Chapter 3 of the course notes, pages 28–44. As usual, you should write a short 2-3 sentence summary, plus one question about something you didn't understand or want to know more about. Since these notes barely scratch the surface (literally), I am often asked for recommendations on books that provide a deeper discussion of surfaces. The honest answer is, “I don't know; I mostly didn't learn it from a book.” But there are a couple fairly standard references (other) people seem to like, both of which are available online from the CMU library:

• O'Neill, "Elementary Differential Geometry"
• do Carmo, "Differential Geometry of Curves and Surfaces"

Handin instructions can be found in the Readings section of the main page.