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.

This note explains the following topics: Analytic Geometry,
Instantaneous Rate of Change: The Derivative, Rules for Finding Derivatives,
Transcendental Functions, Curve Sketching, Applications of the Derivative,
Integration, Techniques of Integration, Applications of Integration, Polar
Coordinates, Parametric Equations, Sequences and Series, Vector Functions,
Partial Differentiation, Multiple Integration, Vector Calculus, Differential
Equations.

Author(s): David Farmer, Albert Schueller, and
David Guichard

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.

This lecture note is really good for
studying Multivariable calculus. This note contains the following subcategories Vectors in R3, Cylinders and Quadric Surfaces, Partial Derivatives,
Lagrange Multipliers, Triple Integrals, Line Integrals of Vector Fields ,
The Fundamental Theorem for Line Integrals ,Green’s Theorem , The Curl and
Divergence of a Vector Field, Oriented Surfaces , Stokes’ Theorem and The
Divergence Theorem