Multivariable Calculus. This consists of 35 video lectures given by Professor Denis Auroux, covering vector and multi-variable calculus. Topics covered in this course include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.
Partial derivatives are so called because they're the derivatives of multivariable functions. When a function is defined in terms of two or more variables, the function's derivative is actually a collection of partial derivative equations.
Multivariable Calculus by Professor Edward Frenkel. This course discusses essential topics in multivariable calculus, focusing on functions of two and three variables. Topics covered in this course include parametric curves, vectors in 2- and 3-dimensional spaces, partial derivatives, multiple integrals, vector calculus, Green's theorem, Stokes' theorem, and divergence theorem.
In the same way that partial derivatives allow you to take the derivatives of multivariable functions, multiple integrals let you take the integrals of multivariable functions. In this course, calculus tutor Krista King discusses iterated, double, double polar, and triple integrals, including the mathematical applications of each.