- 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.

References to books are given on the course home page.

From time to time, detailed handouts (with complete proofs and solutions to exercises) are given to the students in classroom.

Constructive remarks are welcome. Please e-mail to dana@mail.jct.ac.il.