Partial Derivatives, Differentiability
http://www.maa.org/taxonomy/term/40385/0
enVisualizing Leibniz's Rule
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/visualizing-leibnizs-rule
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The author presents a geometric interpretation of Leibniz's rule for differentiating under the integral sign, and gives an informal visual derivation of the rule. </em></p>
</div></div></div>A Characterization of a Quadratic Function in \(\Re^n\)
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-characterization-of-a-quadratic-function-in-ren
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>The author provides a characterization of</em> \(n\)-<em>dimensional quadratic functions in terms of tangent planes.</em></div></div></div>Einstein's Principle
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/einsteins-principle
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The author verifies that a scalar field associated to a vector field, satisfying spherical symmetry and Laplace's equation, implies Newton's inverse square law.</em></p>
</div></div></div>Three Aspects of Fubini's Theorem
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/three-aspects-of-fubinis-theorem
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Three propositions, involving integration and partial differentiation, one of them Fubini`s Theorem, are shown to be equivalent.</em></p>
</div></div></div>Coefficients of the Characteristic Polynomial
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/coefficients-of-the-characteristic-polynomial
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The author derives formulas for the coefficients of the characteristic polynomial of a square matrix in terms of the partial derivatives of its determinant, which is viewed as a function of the entries of the matrix.</em></p>
</div></div></div>A Relation Between the Jacobian and Certain Generalized Wronskians
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-relation-between-the-jacobian-and-certain-generalized-wronskians
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The author shows a relation between a Jacobian and a certain class of Wronskians.</em></p>
</div></div></div>On the Limitations of a Well-Known Integration Technique
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/on-the-limitations-of-a-well-known-integration-technique
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>An investigation of the applicability of a method for evaluating a single improper integral as an iterated double integral</em></p>
</div></div></div>Exploring the Volume-Surface Area Relationship
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/exploring-the-volume-surface-area-relationship
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>The differential relation between the volume of a solid and its surface area</i></p>
</div></div></div>Calculus in the Brewery
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/calculus-in-the-brewery
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>A study of the sensitivity of the volume of cans to the radius of the base</i></p>
</div></div></div>Partial Derivatives, Differentiability (Classroom Capsules and Notes)
http://www.maa.org/programs/faculty-and-departments/course-communities/partial-derivatives-differentiability-classroom-capsules-and-notes
CalcPlot3D, an Exploration Environment for Multivariable Calculus
http://www.maa.org/programs/faculty-and-departments/course-communities/calcplot3d-an-exploration-environment-for-multivariable-calculus
CalcTool 3
http://www.maa.org/programs/faculty-and-departments/course-communities/calctool-3
Banchoff's Chain Rule Applet
http://www.maa.org/programs/faculty-and-departments/course-communities/banchoffs-chain-rule-applet
How Euler Did It: Mixed Partial Derivatives
http://www.maa.org/programs/faculty-and-departments/course-communities/how-euler-did-it-mixed-partial-derivatives
Maplets for Calculus
http://www.maa.org/programs/faculty-and-departments/course-communities/maplets-for-calculus