**TDP**

- Contents
- Analytic geometry in the 3-dimensional space.
- Curves in the plane and in the space.
- Surfaces.
- Multivariable functions.
- Partial derivatives; the differential of a function.
- Applications of the derivative.
- Multiple integrals.
- Double integrals.
- Triple integrals.
- Triple integrals: definition and first properties.
- Evaluation of a triple integral.
- Average value of a function over a domain in space.
- Applications: masses, moments, center of mass in the three dimensional space.
- Triple integrals in cylindrical coordinates.
- Triple integrals in spherical coordinates.

- Substitution in multiple integrals.

- Integration and Vector Fields.
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