1. Lecture 19: Triple Integrals with Cyclindrical Coordinates and Spherical Coordinates, Double Integrals for Surface Area, Vector Fields, and Line Integrals

2. Part I: Triple Integrals with Cylindrical and Spherical Coordinates

3. Changing variables for Triple Integrals

5. Triple Integrals with Cylindrical Coordinates

6. Example: Volume of a cone

7. Triple Integrals with Spherical Coordinates

8. Example: Volume of a Sphere

9. Part II: Double Integrals for Surface Area

10. Surface Area

12. Part III: Vector Fields and Line Integrals

13. Objectives Be familiar with vector fields and how to compute line integrals. Know how to compute the work done on an object by a given force. Corresponding Section of Simmons: 21.1

14. Vector Fields

15. Line Integrals

16. Line Integrals with Parametric Equations

17. Kinetic Energy and Acceleration

18. Work

19. Examples