Chapter 1: Curves ( 1.2--1.5, portion of 1.7: 4 lectures ) Chapter 2: Regular Surfaces ( 2.2 -- 2.5, portion of the Appendix: 6 lectures ) Chapter 3: The Geometry of Gauss Maps ( 3.2 -- 3.3, portion of 3.5: 6 lectures ) Chapter 4: The Instrinsic Geometry of Surfaces ( 4.2 -- 4.5: 6 lectures ) The six additional lectures are reserved for two midterms, catch ups, and discussion of additional topics.