This note covers the following
topics: Vectors and the geometry of space, Directional derivatives, gradients,
tangent planes, introduction to integration, Integration over non-rectangular
regions, Integration in polar coordinates, applications of multiple integrals,
surface area, Triple integration, Spherical coordinates, The Fundamental Theorem
of Calculus for line integrals, Green's Theorem, Divergence and curl, Surface
integrals of scalar functions, Tangent planes, introduction to flux, Surface
integrals of vector fields, The Divergence Theorem.

**Author(s):** Dartmouth College

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