Multivariable Calculus II

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Lecture 1: general greens theorem.mov

Lecture Details :

An example of the generalization of green's theorem. For more math shorts go to www.mathbyfives.com.

Course Description :

Contents:
General greens theorem - scalor line integrals - Find a potential function - Conservative vector field test - volume between two surfaces - Two more ways to set up a tripple integral - Sketch the solid of integration - Set up a tripple integral more general region - Limits of multivariate functions - intersection of a plane and a surface - Graphing a vector valued function - contour maps - planer form of curvature - integration of vector valued functions

curvature example - Arc length parameterization - refresher on conics - Parabloid - graphing and determining the form of a surface - equation in spherical - cone - rectangular point to spherical coordinates - hyperboloid - home work help quadratic surfaces - describe a rectangular graph in spherical coordinates - discribe a sphere in spherical coordinates - cylinders in 3 space - sketch using spherical coordinates - Eigen Vectors and Values

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