Math 116 Lecture Notes
1. Introduction
2. Linear Algebra-Motivation
3. Linear Algebra and the Tangent Space
4. Symmetric Matrices and Sylvester's Theorem
5. Tensors in General
6. Local Theory of Curves
7. Frenet-Seret Summary
8. Geometry of Surfaces-A
9. Geometry of Surfaces-B
10. Gaussian Curvature and the Second Fundamental Form
11. Geodesics
12. Parallel Translation