MATA182 Vector calculus 2 (4 cr)

Two and three dimensional integration, iterated integrals. Polar, cylindrical and spherical coordinates. Vector fields, line integrals, the fundamental theorem for line integrals, Green's theorem. Parametric surfaces and surface integrals. Stokes' theorem and the divergence theorem.

After the course the student

• knows the basic integration techniques for functions of two and three variables
• understands the concept of vector field and their geometric interpretation
• can find and use parametrizations for surfaces
• can apply the most important integration by parts formulas for vector fields

Calculus 1-3. (or Introduction to mathematical analysis 1-3 and Calculus 3). Vector calculus 1.

Adams: Calculus, chapters 14-16.