
Vector Calculus

Definition of a Line Integral
 A line integral is just an integral...

Definition for Scalar Functions
 (CL) Definition, Example and Formula.

Definition for Vector Fields
 (CL) The concept of Work is here.

Computing Line Integrals with Maple
 Three problems with solutions using Maple.
The cool lint (and even cooler Lint) maple procedure
for finding the line integral
of a vector field along a path is here.
 Green's Theorem
 Green's Theorem for the plane as well as divergence and
curl of vector fields.
 Stokes's Theorem
 Stokes's Theorem for a surface in 3d bounded by a curve.
 Gauss's Theorem
 The divergence theorem and its application for Gauss's law.
 Checking the
Divergence Theorem
 An example with a tetrahedron.
