Differentiation
http://www.maa.org/taxonomy/term/41641/0
enIdentify the Derivative Function
http://www.maa.org/programs/faculty-and-departments/course-communities/identify-the-derivative-function
Automatic Differentiation and APL
http://www.maa.org/programs/maa-awards/writing-awards/automatic-differentiation-and-apl
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><b>Award:</b> George Pólya</p>
<p><b>Year of Award:</b> 1990</p>
<p><b>Publication Information:</b> <i>The</i> <i>College Mathematics Journal</i>, Vol. 20, (1989), pp. 328-351</p>
<p><b>Summary:</b> The development of several small programs that enable the user to evaluate the derivatives up to order <em>n</em> of any elementary function using APL.</p>
<p><a title="Read the Article" href="/sites/default/files/pdf/upload_library/22/Polya/07468342.di020737.02p00804.pdf">Read the Article</a></p></div></div></div>Inverse Problems and Torricelli's Law
http://www.maa.org/programs/maa-awards/writing-awards/inverse-problems-and-torricellis-law
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><b>Award:</b> George Pólya</p>
<p><b>Year of Award:</b> 1994</p>
<p><b>Publication Information:</b> <i>The</i> <i>College Mathematics Journal</i>, Vol. 24, No. 3, (1993), pp. 210-217</p>
<p><b>Summary:</b> Three elementary inverse problems stemming from Torricelli's law which can be used to introduce undergraduates to notions related to ill-posed problems.</p>
<p><a title="Read the Article" href="/sites/default/files/pdf/upload_library/22/Polya/07468342.di020757.02p00026.pdf">Read the Article</a></p></div></div></div>Euler and Differentials
http://www.maa.org/programs/maa-awards/writing-awards/euler-and-differentials
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><b>Award:</b> George Pólya</p>
<p><b>Year of Award:</b> 1995</p>
<p><b>Publication Information:</b> <i>The</i> <i>College Mathematics Journal</i>, Vol. 25, No. 2, (1994), pp. 102-111</p>
<p><b>Summary:</b> How Euler used infinitesimals and infinite series to compute differentials for the elementary functions encountered in a typical undergraduate calculus sequence.</p>
<p><a title="Read the Article" href="/sites/default/files/pdf/upload_library/22/Polya/07468342.di020761.02p0032k.pdf">Read the Article</a></p></div></div></div>Newton's Method for Resolving Affected Equations
http://www.maa.org/programs/maa-awards/writing-awards/newtons-method-for-resolving-affected-equations
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><b>Award:</b> George Pólya</p>
<p><b>Year of Award:</b> 1997</p>
<p><b>Publication Information:</b> <i>The</i> <i>College Mathematics Journal</i>, Vol. 27, No. 5, (1996), pp. 330-340</p>
<p><b>Summary:</b> An examination of Newton's method for approximating real roots with comparisons to Raphson's method and the method used in current calculus texts. The author shows how Newton generalized his method for resolving affected equations.</p></div></div></div>Kepler: The Volume of a Wine Barrel - Kepler's Era
http://www.maa.org/publications/periodicals/convergence/kepler-the-volume-of-a-wine-barrel-keplers-era
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.</p>
</div></div></div>Kepler: The Volume of a Wine Barrel - Introduction
http://www.maa.org/publications/periodicals/convergence/kepler-the-volume-of-a-wine-barrel-introduction
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.</div></div></div>Kepler: The Volume of a Wine Barrel
http://www.maa.org/publications/periodicals/convergence/kepler-the-volume-of-a-wine-barrel
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.</div></div></div>Servois' 1814 Essay on the Principles of the Differential Calculus, with an English Translation - Acknowledgments and About the Authors
http://www.maa.org/publications/periodicals/convergence/servois-1814-essay-on-the-principles-of-the-differential-calculus-with-an-english-translation-9
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">The authors provide an analysis and English translation of the argument by a little known French mathematician that calculus should be based on series rather than on infinitesimals.</div></div></div>Servois' 1814 Essay on the Principles of the Differential Calculus, with an English Translation - References
http://www.maa.org/publications/periodicals/convergence/servois-1814-essay-on-the-principles-of-the-differential-calculus-with-an-english-translation-8
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">The authors provide an analysis and English translation of the argument by a little known French mathematician that calculus should be based on series rather than on infinitesimals.</div></div></div>Kepler: The Volume of a Wine Barrel - The Wine Barrel Incident
http://www.maa.org/publications/periodicals/convergence/kepler-the-volume-of-a-wine-barrel-the-wine-barrel-incident
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.</p>
</div></div></div>Kepler: The Volume of a Wine Barrel - Kepler's [i]Nova stereometria doliorum vinariorum[/i]
http://www.maa.org/publications/periodicals/convergence/kepler-the-volume-of-a-wine-barrel-keplers-nova-stereometria-doliorum-vinariorum
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.</div></div></div>Kepler: The Volume of a Wine Barrel - A Problem of Maxima: Wine Barrel Design
http://www.maa.org/publications/periodicals/convergence/kepler-the-volume-of-a-wine-barrel-a-problem-of-maxima-wine-barrel-design
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.</div></div></div>Kepler: The Volume of a Wine Barrel - Solving the Problem of Maxima: Wine Barrel Design
http://www.maa.org/publications/periodicals/convergence/kepler-the-volume-of-a-wine-barrel-solving-the-problem-of-maxima-wine-barrel-design
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.</p>
</div></div></div>Kepler: The Volume of a Wine Barrel - Derivatives, Tangents, and Slopes; Conclusion
http://www.maa.org/publications/periodicals/convergence/kepler-the-volume-of-a-wine-barrel-derivatives-tangents-and-slopes-conclusion
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>In his analysis of volumes of wine barrels, Kepler used ideas that would become important in differential and integral calculus. Use this article's animated visual imagery to help share Kepler's ideas with your students.</p>
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