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MATH-6820: Numerical Sol Of Odes
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<meta property="og:description" content="Numerical methods and analysis for ODEs with applications from mechanics, optics, and chaotic dynamics. Numerical methods for dynamical systems include Runge-Kutta, multistep and extrapolation techniques, methods for conservative and Hamiltonian systems, methods for stiff differential equations and for differential-algebraic systems. Methods for boundary value problems include shooting and orthogonalization, finite difference and collocation techniques, and special methods for problems with boundary or shock layers.">
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Numerical Sol Of Odes
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MATH-6820
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<p>
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Numerical methods and analysis for ODEs with applications from mechanics, optics, and chaotic dynamics. Numerical methods for dynamical systems include Runge-Kutta, multistep and extrapolation techniques, methods for conservative and Hamiltonian systems, methods for stiff differential equations and for differential-algebraic systems. Methods for boundary value problems include shooting and orthogonalization, finite difference and collocation techniques, and special methods for problems with boundary or shock layers.
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4 credits
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Prereqs:
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one of:
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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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<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 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=202409&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (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: 10/30
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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">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 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=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (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: 11/30
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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 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=202101&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (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: 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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</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 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">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 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=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (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: 7/30
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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">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=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (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: 25/30
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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 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=201501&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Fengyan Li</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/30
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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">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 not-offered">
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</td>
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</tr>
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<tr>
|
|
<th class="year">2013</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=201301&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald W Schwendeman</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 21/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<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">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 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 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=201101&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald W Schwendeman</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/30
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</span>
|
|
</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>
|
|
</tr>
|
|
<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 not-offered">
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|
</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=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald W Schwendeman</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 16/40
|
|
</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>
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|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
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|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2007</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=200701&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald W Schwendeman</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 17/24
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2006</th>
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<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 not-offered">
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|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2005</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=200501&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald W Schwendeman</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 19/30
|
|
</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>
|
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<th class="year">2004</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">2003</th>
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<td class="term spring 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=200301&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald W Schwendeman</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 13/35
|
|
</span>
|
|
</div>
|
|
</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 not-offered">
|
|
</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 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=200101&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Moayyed A Hussain</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 7/20
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">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 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=199901&subj_in=MATH&crse_in=6820&schd_in=">Numerical Sol Of Odes (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Joseph E Flaherty</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">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>
|