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CIVL-6660: Fundamentals Of Finite Element
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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 Element
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</h1>
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<h2 id="code">
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CIVL-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>
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<div id=crosslist-classes" class="rel-info-courses">
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<a class="course-pill" href="CIVL-4240">CIVL-4240 Intro To Finite Elements</a>
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<a class="course-pill" href="CIVL-6660">CIVL-6660 Fundamentals Of Finite Element</a>
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<a class="course-pill" href="MANE-4240">MANE-4240 Intro To Finite Elements</a>
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<a class="course-pill" href="MANE-6660">MANE-6660 Fundamentals Of Finite Element</a>
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</div>
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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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</tr>
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<tr>
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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 offered-diff-code">
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</td>
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<td class="term summer2 not-offered">
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</td>
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<td class="term summer3 offered-diff-code">
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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=202409&subj_in=CIVL&crse_in=6660&schd_in=">Finite Element Methods (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Kartik Josyula</li>
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<li>Jacob Simon Merson</li>
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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: 2/6
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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">2023</th>
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<td class="term spring offered-diff-code">
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</td>
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<td colspan="2" class="term summer offered-diff-code">
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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=CIVL&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: 1/10
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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 offered-diff-code">
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</td>
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<td class="term summer2 offered-diff-code">
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</td>
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<td class="term summer3 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=CIVL&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: 0/10
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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 offered-diff-code">
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</td>
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<td colspan="2" class="term summer offered-diff-code">
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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=CIVL&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: 3/10
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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 offered-diff-code">
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</td>
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<td colspan="2" class="term summer offered-diff-code">
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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=CIVL&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: 1/40
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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 offered-diff-code">
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</td>
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<td class="term summer2 not-offered">
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</td>
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<td class="term summer3 offered-diff-code">
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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=201909&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
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<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 2/40
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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 offered-diff-code">
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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=201809&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 1/40
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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 offered-diff-code">
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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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 2/42
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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">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201609&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 2/42
|
|
</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 offered-diff-code">
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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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 6/42
|
|
</span>
|
|
</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>
|
|
<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=201409&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 4/42
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 2/42
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<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>
|
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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=201209&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/7
|
|
</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">
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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=201109&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/7
|
|
</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 offered-diff-code">
|
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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=201009&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 5/7
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2009</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=200909&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/40
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2008</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=200809&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 6/32
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2007</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 4/32
|
|
</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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 2/32
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2005</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 2/32
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2004</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 7/32
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2003</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 2/25
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2002</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/25
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2001</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=200109&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/25
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2000</th>
|
|
<td class="term spring offered-diff-code">
|
|
</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=200009&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 7/30
|
|
</span>
|
|
</div>
|
|
</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">
|
|
<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=199909&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/15
|
|
</span>
|
|
</div>
|
|
</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">
|
|
<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=199809&subj_in=CIVL&crse_in=6660&schd_in=">Fund. Of Finite Elements (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark S Shephard</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 6/15
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
</div>
|
|
</body>
|
|
</html>
|