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MATH-4400 - Ordinary Differential Equations and Dynamical Systems
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<meta property="og:description" content="An intermediate course emphasizing a modern geometric approach and applications in science and engineering. Topics include first-order equations, linear systems, phase plane, linearization and stability, calculus of variations, Lagrangian and Hamiltonian mechanics, oscillations, basic bifurcation theory, chaotic dynamics, and existence and uniqueness.">
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Ordinary Differential Equations and Dynamical Systems
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MATH-4400
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2023-02-10 12:16:29 +00:00
An intermediate course emphasizing a modern geometric approach and applications in science and engineering. Topics include first-order equations, linear systems, phase plane, linearization and stability, calculus of variations, Lagrangian and Hamiltonian mechanics, oscillations, basic bifurcation theory, chaotic dynamics, and existence and uniqueness.
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4 credits
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Prereqs:
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<div id="prereq-classes" class="rel-info-courses">
<a class="course-pill" href="MATH-2400.html">MATH-2400 Introduction to Differential Equations</a>
<div class="pr-and">and</div>
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<div class="pr-or-title">
one of:
</div>
<div class="pr-or">
<a class="course-pill" href="MATH-2010.html">MATH-2010 Multivariable Calculus and Matrix Algebra</a>
<a class="course-pill" href="MATH-2011.html">MATH-2011 Multivariable Calculus</a>
<a class="course-pill" href="MATH-2012.html">MATH-2012 Matrix Algebra</a>
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<table>
<thead>
<tr>
<th></th>
<th class="spring season-label">Spring</th>
<th class="summer season-label" colspan="2">Summer</th>
<th class="fall season-label">Fall</th>
</tr>
<tr>
<th colspan="2"></th>
<th class="summer2 midsum-label">(Session 1)</th>
<th class="summer3 midsum-label">(Session 2)</th>
<th></th>
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</thead>
<tbody>
<tr>
<th class="year">2023</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 0/32
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2022</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 30/32
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2021</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Peter R Kramer</li>
</ul>
<span class="course-capacity">
Seats Taken: 26/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2020</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 62/60
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2019</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 35/40
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2018</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 31/45
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2017</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Peter R Kramer</li>
</ul>
<span class="course-capacity">
Seats Taken: 22/45
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2016</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Peter R Kramer</li>
</ul>
<span class="course-capacity">
Seats Taken: 29/45
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2015</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Michael James Jenkinson</li>
</ul>
<span class="course-capacity">
Seats Taken: 31/40
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2014</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 16/40
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2013</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 23/40
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2012</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 21/40
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2011</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 27/40
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2010</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 14/39
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2009</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 19/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2008</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">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 15/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2007</th>
<td class="term spring unscheduled">
</td>
<td colspan="2" class="term summer unscheduled">
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Ordinary Diffeq And Dynamical (4c)
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 16/30
</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
</div>
</body>
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