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Notes on Vector Calculus
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, Green’s Theorem in the Plane, DIV, GRAD, and CURL, Change of Variables, Parametrizations, Surface Integrals, The Theorems of Stokes and Gauss.
Author(s): Dinakar Ramakrishnan
100 Pages 
Vector Calculus Lecture Notes by Thomas Baird
This note explains the following topics: geometry of R3, Vector valued functions of a single variable and space curves, Scalar valued functions of a several real variables, Integrating multi variable scalar functions, Calculus of vector fields.
Author(s): Thomas Baird
111 Pages
Vector Calculus Lecture notes by Adolfo J Rumbos
This note covers Euclidean space, Functions, Differentiability and integration.
Author(s): Adolfo J Rumbos
113 Pages