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MANE-6660: Fundamentals of Finite Elements
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<meta property="og:description" content="Graduate-level course on the fundamental concepts and technologies underlying finite element methods for the numerical solution of continuum problems. The course emphasizes the construction of integral weak forms for elliptic partial differential equations and the construction of the elemental level matrices using multi-dimensional shape functions, element level mappings, and numerical integration. The basic convergence properties of the finite element method will be given. This course serves as preparation for students working on finite element methods.">
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<h1 id="name">
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Fundamentals of Finite Elements
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</h1>
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<h2 id="code">
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MANE-6660
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</h2>
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<p>
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Graduate-level course on the fundamental concepts and technologies underlying finite element methods for the numerical solution of continuum problems. The course emphasizes the construction of integral weak forms for elliptic partial differential equations and the construction of the elemental level matrices using multi-dimensional shape functions, element level mappings, and numerical integration. The basic convergence properties of the finite element method will be given. This course serves as preparation for students working on finite element methods.
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3 credits
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Cross-listed with:
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<div id=crosslist-classes" class="rel-info-courses">
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<a class="course-pill" href="CIVL-6660">CIVL-6660 Fundamentals of Finite Elements</a>
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none
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<th class="spring season-label">Spring</th>
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<th class="summer season-label" colspan="2">Summer</th>
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<th class="fall season-label">Fall</th>
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<th colspan="2"></th>
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<th class="summer2 midsum-label">(Session 1)</th>
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<th class="summer3 midsum-label">(Session 2)</th>
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<th></th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<th class="year">2024</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer unscheduled">
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</td>
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<td class="term fall unscheduled">
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</td>
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<tr>
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<th class="year">2023</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202309&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Mark S Shephard</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 15/20
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2022</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202209&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Mark S Shephard</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 16/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2021</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202109&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Mark S Shephard</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 25/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2020</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Mark S Shephard</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 29/40
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2019</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201909&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Mark S Shephard</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 37/40
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2018</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201809&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Mark S Shephard</li>
|
|
</ul>
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<span class="course-capacity">
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Seats Taken: 17/40
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2017</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<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=201709&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
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</span>
|
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<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 31/40
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2016</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201609&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
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</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 16/40
|
|
</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2015</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<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=201509&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 20/40
|
|
</span>
|
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2014</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<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=201409&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 29/40
|
|
</span>
|
|
</div>
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</td>
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</tr>
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<tr>
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<th class="year">2013</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
|
|
<td class="term fall 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=201309&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 27/42
|
|
</span>
|
|
</div>
|
|
</td>
|
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</tr>
|
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<tr>
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<th class="year">2012</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
|
|
<td class="term fall 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=201209&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 21/40
|
|
</span>
|
|
</div>
|
|
</td>
|
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</tr>
|
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<tr>
|
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<th class="year">2011</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
|
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<td class="term fall 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=201109&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/40
|
|
</span>
|
|
</div>
|
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</td>
|
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</tr>
|
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<tr>
|
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<th class="year">2010</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<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=201009&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 31/40
|
|
</span>
|
|
</div>
|
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</td>
|
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</tr>
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<tr>
|
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<th class="year">2009</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
|
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<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=200909&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 22/40
|
|
</span>
|
|
</div>
|
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</td>
|
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</tr>
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<tr>
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<th class="year">2008</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
|
|
<td class="term fall 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=200809&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 27/30
|
|
</span>
|
|
</div>
|
|
</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 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=200709&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/32
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2006</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall 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=200609&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 26/32
|
|
</span>
|
|
</div>
|
|
</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 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=200509&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 15/32
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2004</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall 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=200409&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/32
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2003</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall 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=200309&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 14/25
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2002</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall 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=200209&subj_in=MANE&crse_in=6660&schd_in=">Fundamentals Of Finite Element (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 20/25
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2001</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall offered-diff-code">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2000</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall offered-diff-code">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">1999</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall offered-diff-code">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">1998</th>
|
|
<td class="term spring unscheduled">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall offered-diff-code">
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
</div>
|
|
</body>
|
|
</html>
|