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Lecture 18: Triple Integrals, Cyclindrical Coordinates, and Spherical Coordinates.

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Presentation on theme: "Lecture 18: Triple Integrals, Cyclindrical Coordinates, and Spherical Coordinates."— Presentation transcript:

1 Lecture 18: Triple Integrals, Cyclindrical Coordinates, and Spherical Coordinates

2 Part I: Triple Integrals

3 Objectives Objectives: Know how to compute and use triple integrals Corresponding Section in Simmons: 20.5

4 Review of Double Integrals

5 Triple Integrals

6 Example:

7 Part II: Cylindrical and Spherical Coordinates

8 Objectives Objectives: Know what cylindrical and shperical coordinates are and how to convert between these coordinate systems and Cartesian coordinates Corresponding Section in Simmons: 20.6

9 Cylindrical Coorindates

10 Spherical Coordinates

11 Picture for Spherical Coordinates


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