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This link takes you to the list of capsules in the subcategory Taylor Polynomials, Hessian under Multivariable Calculus within Classroom Capsules and Notes.

This link takes you to the list of capsules in the subcategory Directional Derivatives and Gradients under Multivariable Calculus within Classroom Capsules and Notes.

This link takes you to the list of capsules in the subcategory Optimization under Multivariable Calculus within Classroom Capsules and Notes.

This link takes you to the list of capsules in the subcategory Triple Integrals under Multivariable Calculus within Classroom Capsules and Notes.

This link takes you to the list of capsules in the subcategory Curvilinear Coordinates, Change of Variables, Jacobians under Multivariable Calculus within Classroom Capsules and Notes.

This link takes you to the list of capsules in the subcategory of Vector Fields and Flowlines under Multivariable Calculus within Classroom Capsules and Notes.

This link takes you to the list of capsules in the subcategory of Green's Theorem under Multivariable Calculus within Classroom Capsules and Notes.

The authors point out the problem with using angles \(\phi\) and \(\theta\) in spherical coordinates in the opposite way that they are used in other sciences, especially physics and engineering

This applet shows a curve in the \(xy\)-plane, the vector from the origin to a point on the curve, and the osculating circle. Also displayed is the curvature.

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