Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
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 Adolfo J Rumbos
This note covers Euclidean space, Functions, Differentiability and integration.
Author(s): Adolfo J Rumbos
113 Pages
This PDF covers the following topics related to Vector Calculus, Fields and vector differential operators, Review of vectors in 3dimensional Euclidean space, Scalar fields, vector fields and curves, Vector differential operators, Special vector fields and potentials, Total derivatives of a curve, Chain rule for fields and curves, Vector integration, Greens, divergence and Stokes theorems, General overview of the notes, Solutions of the exercises, Further exercises for tutorials and personal revision.
Author(s): Andrea Moiola, University of Reading
112 Pages