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Vector Calculus
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Definition of a Line Integral
- A line integral is just an integral...
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Definition for Scalar Functions
- (CL) Definition, Example and Formula.
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Definition for Vector Fields
- (CL) The concept of Work is here.
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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.
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