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330 lines
13 KiB
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MATH-6400 - Ordinary Differential Equations
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</title>
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<meta property="og:title" content="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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<a id="qlog-wordmark" href="./"><svg><use href="./images/quatalogHWordmark.svg#QuatalogHWordmark"></use></svg></a>
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<div id="course-info-container">
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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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</p>
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<span id="credits-pill" class="attr-pill">
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4 credits
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<div id="prereq-container" class="rel-info-container">
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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="MATH-4300.html">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.html">MATH-4400 Ordinary Differential Equations and Dynamical Systems</a>
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</div>
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</div>
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</div>
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<div id="past-container">
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<h2 id="past-title">
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Past Term Data
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<span class="code-icon" id="yes-code-icon">
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<svg><use href="./icons.svg#circle-check"></use></svg>
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Offered
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Not Offered
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Offered as Cross-Listing Only
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No Term Data
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<div id="control-panel">
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<label for="simple-view-input" id="simple-view-label" class="view-option-label">
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<span class="view-icon" id="simple-view-icon">
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<span class="view-icon-selected"><svg><use href="./icons.svg#circle-dot"></use></svg></span>
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<span class="view-icon-unselected"><svg><use href="./icons.svg#circle-empty"></use></svg></span>
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</span>
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Simple View
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</label>
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<label for="detail-view-input" id="detail-view-label" class="view-option-label">
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<span class="view-icon-selected"><svg><use href="./icons.svg#circle-dot"></use></svg></span>
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</span>
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Detailed View
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</label>
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</div>
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</div>
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<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">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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<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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Ordinary Differential Equation (4c)
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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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Ordinary Differential Equation (4c)
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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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Ordinary Differential Equation (4c)
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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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Ordinary Differential Equation (4c)
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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>
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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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Ordinary Differential Equation (4c)
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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: 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>
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<th class="year">2010</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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Ordinary Differential Equation (4c)
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</span>
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<ul class="prof-list">
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<li>Michael R. Foster</li>
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</ul>
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<span class="course-capacity">
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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 unscheduled">
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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 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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</body>
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</html>
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