mirror of
https://github.com/quatalog/site.git
synced 2024-11-22 14:52:52 +00:00
492 lines
18 KiB
HTML
492 lines
18 KiB
HTML
<!DOCTYPE html>
|
|
<html>
|
|
<head>
|
|
<title>
|
|
MATH-6620: Perturbation Methods
|
|
</title>
|
|
<meta property="og:title" content="MATH-6620: Perturbation Methods">
|
|
<meta property="og:description" content="This course is devoted to advanced methods rather than theory. Content includes such topics as matched asymptotic expansions, multiple scales, WKB, and homogenization. Applications are made to ODEs, PDEs, difference equations, and integral equations. The methods are illustrated using currently interesting scientific and engineering problems that involve such phenomena as boundary or shock layers, nonlinear wave propagation, bifurcation and stability, and resonance.">
|
|
<link rel="stylesheet" href="../css/common.css">
|
|
<link rel="stylesheet" href="../css/coursedisplay.css">
|
|
<link rel="shortcut icon" href="../favicon/quatalogIcon.png">
|
|
<link rel="icon" href="../favicon/favicon.ico">
|
|
<link rel="apple-touch-icon" sizes="180x180" href="../favicon/apple-touch-icon.png">
|
|
<link rel="icon" type="image/png" sizes="32x32" href="../favicon/favicon-32x32.png">
|
|
<link rel="icon" type="image/png" sizes="16x16" href="../favicon/favicon-16x16.png">
|
|
<link rel="manifest" href="../favicon/site.webmanifest">
|
|
<script src="../js/fuse.js"></script>
|
|
<script src="../js/search_helper.js"></script>
|
|
</head>
|
|
<body class="search_plugin_added">
|
|
<div id="qlog-header">
|
|
<a id="qlog-wordmark" href="../"><svg><use href="../images/quatalogHWordmark.svg#QuatalogHWordmark"></use></svg></a>
|
|
<form onsubmit="search_helper(event)">
|
|
<input type="text" id="search" class="header-search" placeholder="Search...">
|
|
</form>
|
|
</div>
|
|
<div id="cd-flex">
|
|
<div id="course-info-container">
|
|
<h1 id="name">
|
|
Perturbation Methods
|
|
</h1>
|
|
<h2 id="code">
|
|
MATH-6620
|
|
</h2>
|
|
<p>
|
|
This course is devoted to advanced methods rather than theory. Content includes such topics as matched asymptotic expansions, multiple scales, WKB, and homogenization. Applications are made to ODEs, PDEs, difference equations, and integral equations. The methods are illustrated using currently interesting scientific and engineering problems that involve such phenomena as boundary or shock layers, nonlinear wave propagation, bifurcation and stability, and resonance.
|
|
</p>
|
|
<div id="cattrs-container">
|
|
<span id="credits-pill" class="attr-pill">
|
|
4 credits
|
|
</span>
|
|
</div>
|
|
<div id="prereq-container" class="rel-info-container">
|
|
<div id="prereq-title" class="rel-info-title">
|
|
Prereqs:
|
|
</div>
|
|
<div id="prereq-classes" class="rel-info-courses">
|
|
<a class="course-pill" href="MATH-2400">MATH-2400 Introduction to Differential Equations</a>
|
|
<div class="pr-and">and</div>
|
|
<a class="course-pill" href="MATH-4600">MATH-4600 Advanced Calculus</a>
|
|
</div>
|
|
</div>
|
|
</div>
|
|
<div id="past-container">
|
|
<h1 id="past-title">
|
|
Past Term Data
|
|
</h2>
|
|
<input type="radio" id="simple-view-input" name="view-select" value="simple" checked="checked">
|
|
<input type="radio" id="detail-view-input" name="view-select" value="detailed">
|
|
<div id="opt-container">
|
|
<div id="key-panel">
|
|
<div id="yes-code" class="key-code">
|
|
<span class="code-icon" id="yes-code-icon">
|
|
<svg><use href="../icons.svg#circle-check"></use></svg>
|
|
</span>
|
|
Offered
|
|
</div>
|
|
<div id="no-code" class="key-code">
|
|
<span class="code-icon" id="no-code-icon">
|
|
<svg><use href="../icons.svg#circle-no"></use></svg>
|
|
</span>
|
|
Not Offered
|
|
</div>
|
|
<div id="diff-code" class="key-code">
|
|
<span class="code-icon" id="diff-code-icon">
|
|
<svg><use href="../icons.svg#circle-question"></use></svg>
|
|
</span>
|
|
Offered as Cross-Listing Only
|
|
</div>
|
|
<div id="nil-code" class="key-code">
|
|
<span class="code-icon" id="nil-code-icon">
|
|
<svg><use href="../icons.svg#circle-empty"></use></svg>
|
|
</span>
|
|
No Term Data
|
|
</div>
|
|
</div>
|
|
<div id="control-panel">
|
|
<label for="simple-view-input" id="simple-view-label" class="view-option-label">
|
|
<span class="view-icon" id="simple-view-icon">
|
|
<span class="view-icon-selected"><svg><use href="../icons.svg#circle-dot"></use></svg></span>
|
|
<span class="view-icon-unselected"><svg><use href="../icons.svg#circle-empty"></use></svg></span>
|
|
</span>
|
|
Simple View
|
|
</label>
|
|
<label for="detail-view-input" id="detail-view-label" class="view-option-label">
|
|
<span class="view-icon" id="detail-view-icon">
|
|
<span class="view-icon-selected"><svg><use href="../icons.svg#circle-dot"></use></svg></span>
|
|
<span class="view-icon-unselected"><svg><use href="../icons.svg#circle-empty"></use></svg></span>
|
|
</span>
|
|
Detailed View
|
|
</label>
|
|
</div>
|
|
</div>
|
|
<table id="years-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>
|
|
</tr>
|
|
</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 not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2022</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 6/20
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2021</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">2020</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 19/40
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2019</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">2018</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 10/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2017</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">2016</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 22/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2015</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">2014</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 15/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2013</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">2012</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 30/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2011</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">2010</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Peter R Kramer</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 20/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2009</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">2008</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Michael R. Foster</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 15/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2007</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">2006</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Christopher Wahle</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2005</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">2004</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Christopher Wahle</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 11/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2003</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">2002</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 7/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2001</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">2000</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Perturbation Methods (4c)
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 8/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">1999</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">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>
|