1. Vectors and Parametric Equation of a Line

2. Dot Product and Cross Product

3. Real-valued and Vector-valued Functions

4. Limits and Continuity

5. Derivatives Part 1

6. Derivatives Part 2

7. Paths and Curves, Cylindrical and Spherical Coordinate Systems

8. Gradient and Directional Derivative

9. Curves, Tangents, Velocity, and Acceleration

10. Length of a Curve, Acceleration and Curvature

11. Taylor's Formula: Extreme Values Part 1

12. Extreme Values and Optimization Part 2

13. Double Integrals over Rectangles, Iterated Integrals

14. Double Integral over a General Region Part 1

15. Double Integral over a General Region Part 2

16. Triple Integrals Part 1

17. Triple Integrals Part 2, Change of Variables