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MATH-6400: Ordinary Differential Equations
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<meta property="og:description" content="Analytical and computational methods for ordinary differential equations: existence and uniqueness of solutions, similarity methods, linear equations, regular singular points, hypergeometric equations, asymptotic expansions near irregular singular points, WKB theory, turning points, stability theory, stable and unstable manifolds, periodic solutions and Poincare maps, Floquet theory, stabilization and destabilization by periodic forcing, calculus of variations, Lagrangian and Hamiltonian systems, Poincare invariants, symplectic integrators, basic bifurcation theory, examples of chaotic dynamics, applications to physics, chemistry, and biology.">
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<h1 id="name">
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Ordinary Differential Equations
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</h1>
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<h2 id="code">
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MATH-6400
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</h2>
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<p>
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Analytical and computational methods for ordinary differential equations: existence and uniqueness of solutions, similarity methods, linear equations, regular singular points, hypergeometric equations, asymptotic expansions near irregular singular points, WKB theory, turning points, stability theory, stable and unstable manifolds, periodic solutions and Poincare maps, Floquet theory, stabilization and destabilization by periodic forcing, calculus of variations, Lagrangian and Hamiltonian systems, Poincare invariants, symplectic integrators, basic bifurcation theory, examples of chaotic dynamics, applications to physics, chemistry, and biology.
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4 credits
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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="MATH-4300">MATH-4300 Introduction to Complex Variables: Theory and Applications</a>
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<div class="pr-and">and</div>
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<a class="course-pill" href="MATH-4400">MATH-4400 Ordinary Differential Equations and Dynamical Systems</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 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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<tbody>
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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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<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 not-offered">
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</td>
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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=6400&schd_in=">Ordinary Differential Equation (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Gregor Kovacic</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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<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 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=201901&subj_in=MATH&crse_in=6400&schd_in=">Ordinary Differential Equation (4c)</a>
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</span>
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<ul class="prof-list">
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<li>David Isaacson</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 6/25
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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">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 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">2016</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=201601&subj_in=MATH&crse_in=6400&schd_in=">Ordinary Differential Equation (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Gregor Kovacic</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">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=MATH&crse_in=6400&schd_in=">Ordinary Differential Equation (4c)</a>
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</span>
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<ul class="prof-list">
|
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<li>Gregor Kovacic</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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<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>
|
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<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=6400&schd_in=">Ordinary Differential Equation (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Gregor Kovacic</li>
|
|
</ul>
|
|
<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">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>
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</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=MATH&crse_in=6400&schd_in=">Ordinary Differential Equation (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Michael R. Foster</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 9/30
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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">2009</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2008</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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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">2007</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">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=6400&schd_in=">Ordinary Differential Equation (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Gregor Kovacic</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 5/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
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</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">
|
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</td>
|
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<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=6400&schd_in=">Ordinary Differential Equation (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>R.E. Lee DeVille</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 14/30
|
|
</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>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2003</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>
|
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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">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=6400&schd_in=">Dynamical Systems (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>R.E. Lee DeVille</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 3/30
|
|
</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">2001</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">2000</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">1999</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">1998</th>
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<td class="term spring unscheduled">
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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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</tbody>
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</table>
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</div>
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</div>
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</html>
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