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527 lines
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MATH-6860: Finite Element Analysis
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<meta property="og:title" content="MATH-6860: Finite Element Analysis">
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<meta property="og:description" content="Galerkin’s method and extremal principles, finite element approximations (Lagrange, hierarchical and 3D approximations, interpolation errors), mesh generation and assembly, adaptivity (h-, p-, hp-refinement). Error analysis and convergence rates. Perturbations resulting from boundary approximation, numerical integration, etc. Time dependent problems including parabolic and hyperbolic PDEs. Applications will be selected from several areas including heat conduction, wave propagation, potential theory, and solid and fluid mechanics.">
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<h1 id="name">
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Finite Element Analysis
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</h1>
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<h2 id="code">
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MATH-6860
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</h2>
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<p>
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Galerkin’s method and extremal principles, finite element approximations (Lagrange, hierarchical and 3D approximations, interpolation errors), mesh generation and assembly, adaptivity (h-, p-, hp-refinement). Error analysis and convergence rates. Perturbations resulting from boundary approximation, numerical integration, etc. Time dependent problems including parabolic and hyperbolic PDEs. Applications will be selected from several areas including heat conduction, wave propagation, potential theory, and solid and fluid mechanics.
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4 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="CSCI-6860">CSCI-6860 Finite Element Analysis</a>
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</div>
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one of:
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<div class="pr-or">
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<a class="course-pill" href="MATH-4800">MATH-4800 Numerical Computing</a>
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<a class="course-pill" href="CSCI-4800">CSCI-4800 Numerical Computing</a>
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Detailed View
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<table id="years-table">
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<thead>
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<tr>
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<th></th>
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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">
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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=202401&subj_in=MATH&crse_in=6860&schd_in=">Finite Element Analysis (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Fengyan Li</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 4/25
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</span>
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</div>
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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 not-offered">
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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 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 not-offered">
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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">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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|||
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202201&subj_in=MATH&crse_in=6860&schd_in=">Finite Element Analysis (4c)</a>
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</span>
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<ul class="prof-list">
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|||
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<li>Fengyan Li</li>
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|||
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</ul>
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|||
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<span class="course-capacity">
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|||
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Seats Taken: 2/20
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|||
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</span>
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|||
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</div>
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|||
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</td>
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|||
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<td colspan="2" class="term summer not-offered">
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|||
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</td>
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|||
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<td class="term fall not-offered">
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|||
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</td>
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|||
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</tr>
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|||
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<tr>
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|||
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<th class="year">2021</th>
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<td class="term spring not-offered">
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|||
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</td>
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|||
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<td colspan="2" class="term summer not-offered">
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|||
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</td>
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|||
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<td class="term fall not-offered">
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|||
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</td>
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|||
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</tr>
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|||
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<tr>
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|||
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<th class="year">2020</th>
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|||
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<td class="term spring not-offered">
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|||
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</td>
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|||
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<td colspan="2" class="term summer not-offered">
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|||
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</td>
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|||
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<td class="term fall offered">
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|||
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<div class="view-container detail-view-container">
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|||
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<span class="term-course-info">
|
|||
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=MATH&crse_in=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
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</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
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<li>Fengyan Li</li>
|
|||
|
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</ul>
|
|||
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<span class="course-capacity">
|
|||
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Seats Taken: 14/20
|
|||
|
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</span>
|
|||
|
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</div>
|
|||
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</td>
|
|||
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</tr>
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|||
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<tr>
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|||
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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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|||
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<td colspan="2" class="term summer not-offered">
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|||
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</td>
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|||
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<td class="term fall not-offered">
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|||
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</td>
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|||
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</tr>
|
|||
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<tr>
|
|||
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<th class="year">2018</th>
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|||
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<td class="term spring offered">
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|||
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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=201801&subj_in=MATH&crse_in=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Fengyan Li</li>
|
|||
|
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</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
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Seats Taken: 13/30
|
|||
|
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</span>
|
|||
|
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</div>
|
|||
|
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</td>
|
|||
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<td colspan="2" class="term summer not-offered">
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|||
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</td>
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|||
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<td class="term fall not-offered">
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|||
|
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</td>
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|||
|
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</tr>
|
|||
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<tr>
|
|||
|
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<th class="year">2017</th>
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|||
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<td class="term spring not-offered">
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|||
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</td>
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|||
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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 not-offered">
|
|||
|
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</td>
|
|||
|
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</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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Fengyan Li</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 12/30
|
|||
|
|
</span>
|
|||
|
|
</div>
|
|||
|
|
</td>
|
|||
|
|
<td colspan="2" class="term summer not-offered">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
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<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">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
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</td>
|
|||
|
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</tr>
|
|||
|
|
<tr>
|
|||
|
|
<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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Fengyan Li</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 14/30
|
|||
|
|
</span>
|
|||
|
|
</div>
|
|||
|
|
</td>
|
|||
|
|
<td colspan="2" class="term summer not-offered">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
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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">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
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</td>
|
|||
|
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</tr>
|
|||
|
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<tr>
|
|||
|
|
<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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Fengyan Li</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 12/30
|
|||
|
|
</span>
|
|||
|
|
</div>
|
|||
|
|
</td>
|
|||
|
|
<td colspan="2" class="term summer not-offered">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr>
|
|||
|
|
<th class="year">2011</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">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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Fengyan Li</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 10/30
|
|||
|
|
</span>
|
|||
|
|
</div>
|
|||
|
|
</td>
|
|||
|
|
<td colspan="2" class="term summer not-offered">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr>
|
|||
|
|
<th class="year">2009</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">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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Fengyan Li</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 9/30
|
|||
|
|
</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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Eldar Giladi</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 1/30
|
|||
|
|
</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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Eldar Giladi</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 6/30
|
|||
|
|
</span>
|
|||
|
|
</div>
|
|||
|
|
</td>
|
|||
|
|
<td colspan="2" class="term summer not-offered">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr>
|
|||
|
|
<th class="year">2003</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">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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Moayyed A Hussain</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 6/30
|
|||
|
|
</span>
|
|||
|
|
</div>
|
|||
|
|
</td>
|
|||
|
|
<td colspan="2" class="term summer not-offered">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr>
|
|||
|
|
<th class="year">2001</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">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=6860&schd_in=">Finite Element Analysis (4c)</a>
|
|||
|
|
</span>
|
|||
|
|
<ul class="prof-list">
|
|||
|
|
<li>Joseph E Flaherty</li>
|
|||
|
|
</ul>
|
|||
|
|
<span class="course-capacity">
|
|||
|
|
Seats Taken: 11/30
|
|||
|
|
</span>
|
|||
|
|
</div>
|
|||
|
|
</td>
|
|||
|
|
<td colspan="2" class="term summer not-offered">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
<tr>
|
|||
|
|
<th class="year">1999</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">1998</th>
|
|||
|
|
<td class="term spring unscheduled">
|
|||
|
|
</td>
|
|||
|
|
<td colspan="2" class="term summer not-offered">
|
|||
|
|
</td>
|
|||
|
|
<td class="term fall not-offered">
|
|||
|
|
</td>
|
|||
|
|
</tr>
|
|||
|
|
</tbody>
|
|||
|
|
</table>
|
|||
|
|
</div>
|
|||
|
|
</div>
|
|||
|
|
</body>
|
|||
|
|
</html>
|