This note covers the
following topics: Subsets of Euclidean space, vector fields, and continuity,
Differentiation in higher dimensions, Tangent spaces, normals and extrema,
Multiple Integrals, Line Integrals, Greenís Theorem in the Plane, DIV, GRAD, and
CURL, Change of Variables, Parametrizations, Surface Integrals, The Theorems of
Stokes and Gauss.
book covers the following topics: Differentiation, Higher-Order Derivatives and
Extrema, Vector Valued Functions, Double and Triple Integrals, Integrals over
Curves and Surfaces and the Integral Theorems of Vector Analysis.