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MANE-6250: Continuum Mechanics
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<meta property="og:title" content="MANE-6250: Continuum Mechanics">
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<meta property="og:description" content="General curvilinear coordinates, determinants, diagonalization of symmetric matrices, polar decomposition theorem. Description of finite deformation and motion, convected coordinates. Conservation equations, Cauchy and Piola-Kirchhoff stress tensors and equations of motion. Boundary conditions. Thermodynamics of continua, invariance principles, objective tensors. Constitutive equations, nonlinear elasticity, thermoelasticity, heat conducting fluids. Linearizations. Variational derivation of the equations of nonlinear elasticity.">
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<h1 id="name">
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Continuum Mechanics
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</h1>
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<h2 id="code">
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MANE-6250
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</h2>
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<p>
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General curvilinear coordinates, determinants, diagonalization of symmetric matrices, polar decomposition theorem. Description of finite deformation and motion, convected coordinates. Conservation equations, Cauchy and Piola-Kirchhoff stress tensors and equations of motion. Boundary conditions. Thermodynamics of continua, invariance principles, objective tensors. Constitutive equations, nonlinear elasticity, thermoelasticity, heat conducting fluids. Linearizations. Variational derivation of the equations of nonlinear elasticity.
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</p>
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3 credits
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<div id="prereq-title" class="rel-info-title">
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Prereqs:
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</div>
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<div id="prereq-classes" class="rel-info-courses">
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<a class="course-pill" href="MANE-6170">MANE-6170 Mechanics of Solids</a>
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Past Term Data
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Offered
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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 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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<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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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202201&subj_in=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Catalin R Picu</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 11/30
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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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</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">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 not-offered">
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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">
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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=202001&subj_in=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Catalin R Picu</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 19/30
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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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</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">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 not-offered">
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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 not-offered">
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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">
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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=201701&subj_in=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
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</span>
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<ul class="prof-list">
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<li>Catalin R Picu</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 22/30
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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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</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">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 not-offered">
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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 not-offered">
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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 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=201401&subj_in=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
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</span>
|
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<ul class="prof-list">
|
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<li>Catalin R Picu</li>
|
|
</ul>
|
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<span class="course-capacity">
|
|
Seats Taken: 19/25
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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">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>
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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>
|
|
<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=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Catalin R Picu</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 20/20
|
|
</span>
|
|
</div>
|
|
</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>
|
|
<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 not-offered">
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</td>
|
|
</tr>
|
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<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=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Catalin R Picu</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 19/20
|
|
</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 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=200901&subj_in=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Catalin R Picu</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 17/15
|
|
</span>
|
|
</div>
|
|
</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=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Antoinette Maniatty</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 15/25
|
|
</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 not-offered">
|
|
</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 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=6250&schd_in=">Continuum Mechanics (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Harry F Tiersten</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 5/15
|
|
</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=6250&schd_in=">Continuum Mechanics (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Harry F Tiersten</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/15
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2003</th>
|
|
<td class="term spring not-offered">
|
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</td>
|
|
<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=200309&subj_in=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Harry F Tiersten</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/15
|
|
</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">
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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=200209&subj_in=MANE&crse_in=6250&schd_in=">Continuum Mechanics (3c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Harry F Tiersten</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 2/15
|
|
</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 not-offered">
|
|
</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 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>
|