Advanced Calculus
http://www.maa.org/taxonomy/term/41582/0
enThe Function sin(x)/x
http://www.maa.org/programs/maa-awards/writing-awards/the-function-sinxx
<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> 1991</p>
<p><b>Publication Information:</b> <i>The</i> <i>College Mathematics Journal</i>, Vol. 21, (1990), pp. 90-99</p>
<p><b>Summary:</b> The key roles the function plays in many areas of mathematics with some elementary examples from geometry, differential equations, and numerical analysis.</p>
<p><a title="Read the Article" href="/sites/default/files/pdf/upload_library/22/Polya/07468342.di020741.02p00026.pdf">Read the Article</a></p></div></div></div>Visualizing Lie Subalgebras using Root and Weight Diagrams
http://www.maa.org/press/periodicals/loci/visualizing-lie-subalgebras-using-root-and-weight-diagrams
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>This paper uses graphics and animations to illustrate how to construct root and weight diagrams for Lie algebras, and how the root and weight diagrams can be used to identify subalgebras.</p>
</div></div></div>Integrator
http://www.maa.org/press/periodicals/loci/joma/integrator
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">This <b>mathlet</b> computes Riemann sums for a user-defined function and draws a graph of the function as well as a graphical represenatation of the approximations.</div></div></div>Applets and Activities for Real Analysis
http://www.maa.org/press/periodicals/loci/resources/applets-and-activities-for-real-analysis
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth. </div></div></div>Applets and Activities for Real Analysis - Description
http://www.maa.org/press/periodicals/loci/resources/applets-and-activities-for-real-analysis-description
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth. </div></div></div>Applets and Activities for Real Analysis - Taylor Series
http://www.maa.org/press/periodicals/loci/resources/applets-and-activities-for-real-analysis-taylor-series
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth.</p>
</div></div></div>Applets and Activities for Real Analysis - Continuity
http://www.maa.org/press/periodicals/loci/resources/applets-and-activities-for-real-analysis-continuity
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth.</p>
</div></div></div>Applets and Activities for Real Analysis - Sequence Convergence
http://www.maa.org/press/periodicals/loci/resources/applets-and-activities-for-real-analysis-sequence-convergence
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth.</p>
</div></div></div>Applets and Activities for Real Analysis - Mean Value Theorem
http://www.maa.org/press/periodicals/loci/resources/applets-and-activities-for-real-analysis-mean-value-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>This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth.</p>
</div></div></div>Applets and Activities for Real Analysis - Riemann Sums
http://www.maa.org/press/periodicals/loci/resources/applets-and-activities-for-real-analysis-riemann-sums
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth.</p>
</div></div></div>Sequences and Series of Functions
http://www.maa.org/press/periodicals/loci/joma/sequences-and-series-of-functions
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">An interactive and visually engaging <b>mathlet</b> for exploring different types of convergence of sequences and series of functions.</div></div></div>Shadows on the Walls: Geometric Interpretation of Fractional Integration
http://www.maa.org/press/periodicals/loci/joma/shadows-on-the-walls-geometric-interpretation-of-fractional-integration
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even">This article explores the geometric interpretation of fractional integration with the aid of several animated images.</div></div></div>Visualizing Lie Subalgebras using Root and Weight Diagrams
http://www.maa.org/press/periodicals/loci/visualizing-lie-subalgebras-using-root-and-weight-diagrams-7
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>This paper uses graphics and animations to illustrate how to construct root and weight diagrams for Lie algebras, and how the root and weight diagrams can be used to identify subalgebras.</p>
</div></div></div>Visualizing Lie Subalgebras using Root and Weight Diagrams
http://www.maa.org/press/periodicals/loci/visualizing-lie-subalgebras-using-root-and-weight-diagrams-0
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>This paper uses graphics and animations to illustrate how to construct root and weight diagrams for Lie algebras, and how the root and weight diagrams can be used to identify subalgebras.</p>
</div></div></div>Visualizing Lie Subalgebras using Root and Weight Diagrams
http://www.maa.org/press/periodicals/loci/visualizing-lie-subalgebras-using-root-and-weight-diagrams-5
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>This paper uses graphics and animations to illustrate how to construct root and weight diagrams for Lie algebras, and how the root and weight diagrams can be used to identify subalgebras.</p>
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