This is approximate. All references are to the course text by Wolfgang Kuhnel. For the material to be covered, see the Syllabus above.
Date  Reading  Homework 
Aug. 30, Sept. 1  2A2C of Kuhnel: Local theory of plane and space curves 

Sept. 6, 8  2C, 2D of Kuhnel: The Frenet Equations and the Fundamental Theorem of Curves  Homework 1 
Sept. 1115  2D, 3A of Kuhnel: Curves and Parametrized Surfaces  Homework 2 
Sept. 1822  3B of Kuhnel: Curvature of surfaces  Homework 3 
Sept. 23 27  3B of Kuhnel: Curvature of surfaces  Midterm 1 
Oct. 2 6  3B, 3D of Kuhnel: Curves on surfaces, geodesics  Homework 4 
Oct. 9 13  3D of Kuhnel: Minimal Surfaces  Homework 5 
Oct.16 27  4A, 4B of Kuhnel: Intrinsic geometry, the covariant derivative  Homework 6 
Oct. 30 Nov. 10  4B, 4C, 4F of Kuhnel: Gauss Equatio, the Theorem Egregium and GaussBonnet  
Nov. 13 Nov. 17  5/6 of Kuhnel: Differential Geometry  
Nov. 20  Dec. 1  Relativity  Homework 7 