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MATH-6600: Methods Of Applied Math
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<meta property="og:description" content="Linear vector spaces; eigenvalues and eigenvectors in discrete systems; eigenvalues and eigenvectors in continuous systems including Sturm-Liouville theory, orthogonal expansions and Fourier series, Greens functions; elementary theory of nonlinear ODEs including phase plane, stability and bifurcation; calculus of variations. Applications will be drawn from equilibrium and dynamic phenomena in science and engineering.">
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<h1 id="name">
Methods Of Applied Math
</h1>
<h2 id="code">
MATH-6600
</h2>
<p>
Linear vector spaces; eigenvalues and eigenvectors in discrete systems; eigenvalues and eigenvectors in continuous systems including Sturm-Liouville theory, orthogonal expansions and Fourier series, Greens functions; elementary theory of nonlinear ODEs including phase plane, stability and bifurcation; calculus of variations. Applications will be drawn from equilibrium and dynamic phenomena in science and engineering.
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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">MATH-2400 Intro Diff Equations</a>
<div class="pr-and">and</div>
<a class="course-pill" href="MATH-4600">MATH-4600 Advanced Calculus</a>
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<th></th>
<th class="spring season-label">Spring</th>
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<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>
</tr>
</thead>
<tbody>
<tr>
<th class="year">2024</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=202409&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
</ul>
<span class="course-capacity">
Seats Taken: 8/30
</span>
</div>
</td>
</tr>
<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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202309&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 7/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202209&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 12/40
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202109&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 5/40
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 23/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201909&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 21/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201809&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 12/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201709&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 17/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201609&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</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">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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201509&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 12/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 16/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201309&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 19/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201209&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 18/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201109&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 21/30
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201009&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 19/25
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200909&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 19/25
</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">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200809&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 10/25
</span>
</div>
</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 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=200709&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Michael R. Foster</li>
</ul>
<span class="course-capacity">
Seats Taken: 17/25
</span>
</div>
</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 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=200609&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 15/25
</span>
</div>
</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=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 11/25
</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=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Daniel Paul Renzi</li>
</ul>
<span class="course-capacity">
Seats Taken: 4/25
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2003</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=200309&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 4/25
</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">
</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=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Isom Herron</li>
</ul>
<span class="course-capacity">
Seats Taken: 17/25
</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 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=200109&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 9/25
</span>
</div>
</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 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=200009&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 13/25
</span>
</div>
</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 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=199909&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Donald W Schwendeman</li>
</ul>
<span class="course-capacity">
Seats Taken: 17/25
</span>
</div>
</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 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=199809&subj_in=MATH&crse_in=6600&schd_in=">Methods Of Applied Mathematics (4c)</a>
</span>
<ul class="prof-list">
<li>Julian D Cole</li>
</ul>
<span class="course-capacity">
Seats Taken: 16/24
</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
</div>
</body>
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