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MATH-4120: Fundamentals of Geometry
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<meta property="og:title" content="MATH-4120: Fundamentals of Geometry">
<meta property="og:description" content="Topics may be chosen from differential geometry of curves and surfaces, involutes and evolutes, order of contact, developable surfaces, Euler's and Meusnier's Theorem, mean and Gaussian curvatures, geodesics and parallel transport, The Theorem Egregium of Gauss, Gauss-Bonnet Theorem, computer-aided geometric design, computational geometry, tessellations, tiling and patterns, projective and non-Euclidean geometries, postulates and axiomatic systems, advanced Euclidean geometry, and the history of geometry.">
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<h1 id="name">
Fundamentals of Geometry
</h1>
<h2 id="code">
MATH-4120
</h2>
<p>
Topics may be chosen from differential geometry of curves and surfaces, involutes and evolutes, order of contact, developable surfaces, Euler's and Meusnier's Theorem, mean and Gaussian curvatures, geodesics and parallel transport, The Theorem Egregium of Gauss, Gauss-Bonnet Theorem, computer-aided geometric design, computational geometry, tessellations, tiling and patterns, projective and non-Euclidean geometries, postulates and axiomatic systems, advanced Euclidean geometry, and the history of geometry.
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4 credits
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Prereqs:
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<div id="prereq-classes" class="rel-info-courses">
<a class="course-pill" href="MATH-2010">MATH-2010 Multivariable Calculus and Matrix Algebra</a>
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<th class="spring season-label">Spring</th>
<th class="summer season-label" colspan="2">Summer</th>
<th class="fall season-label">Fall</th>
</tr>
<tr>
<th colspan="2"></th>
<th class="summer2 midsum-label">(Session 1)</th>
<th class="summer3 midsum-label">(Session 2)</th>
<th></th>
</tr>
</thead>
<tbody>
<tr>
<th class="year">2023</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2022</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202201&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Rongjie Lai</li>
</ul>
<span class="course-capacity">
Seats Taken: 28/50
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2021</th>
<td class="term spring not-offered">
</td>
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</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2020</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202001&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>David Isaacson</li>
</ul>
<span class="course-capacity">
Seats Taken: 39/50
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
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<th class="year">2019</th>
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<th class="year">2018</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201801&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 38/50
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
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<th class="year">2017</th>
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</td>
</tr>
<tr>
<th class="year">2016</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201601&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 31/45
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
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<th class="year">2015</th>
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<th class="year">2014</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201401&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 22/35
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
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<th class="year">2013</th>
<td class="term spring not-offered">
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<td class="term fall not-offered">
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<th class="year">2012</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201201&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 19/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
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<th class="year">2011</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
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<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2010</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201001&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 25/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
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<th class="year">2009</th>
<td class="term spring not-offered">
</td>
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<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2008</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200801&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 21/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2007</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2006</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200601&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 19/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2005</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2004</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200401&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 16/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
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<th class="year">2003</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
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<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2002</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200201&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 13/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
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<th class="year">2001</th>
<td class="term spring not-offered">
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<th class="year">2000</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200001&subj_in=MATH&crse_in=4120&schd_in=">Fund Of Geometry (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 5/40
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
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<td class="term fall not-offered">
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<th class="year">1999</th>
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<th class="year">1998</th>
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