Week  Chapters  Topics 
1  1.1  Euclidean Space.

2  1.23  Tangent Vectors. Directional Derivatives.

3  1.4  Curves in R^3.

4  1.56  1Forms. Differential Forms.

5  1.7  Mappings.

6  2.1  Dot Product.

7  2.23  Midterm Exam. Curves. The Frenet Formulas.

8  2.4  ArbitrarySpeed Curves.

9  2.56  Covariant Derivatives. Frame Fields.

10  2.78  Connection Forms. The Structural Equations.

11  3.1  Isometries of R^3.

12  3.2  The Tangent Map of an Isometry.

13  3.3  Orientation

14  3.4  Euclidean Geometry

15  3.5  Congruence of Curves. Final Exam.
