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MATH-4600 - Advanced Calculus
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<meta property="og:description" content="A course emphasizing advanced concepts and methods from calculus. Topics include: multivariable integral theorems (Green's, divergence, Stokes', Reynolds transport), extrema of multivariable functions (including Taylor's theorem and Lagrange multipliers), the calculus of variations (EulerLagrange equations, constraints, principle of least action), and Cartesian tensors (calculus, invariants, representations).">
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Advanced Calculus
</h1>
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MATH-4600
</h2>
<p>
A course emphasizing advanced concepts and methods from calculus. Topics include: multivariable integral theorems (Green's, divergence, Stokes', Reynolds transport), extrema of multivariable functions (including Taylor's theorem and Lagrange multipliers), the calculus of variations (EulerLagrange equations, constraints, principle of least action), and Cartesian tensors (calculus, invariants, representations).
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4 credits
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Prereqs:
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one of:
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<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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<th class="spring season-label">Spring</th>
<th class="summer season-label" colspan="2">Summer</th>
<th class="fall season-label">Fall</th>
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<th class="summer2 midsum-label">(Session 1)</th>
<th class="summer3 midsum-label">(Session 2)</th>
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<tbody>
<tr>
<th class="year">2023</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 31/80
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 0/80
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Jeffrey William Banks</li>
</ul>
<span class="course-capacity">
Seats Taken: 0/80
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 25/80
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Gregor Kovacic</li>
</ul>
<span class="course-capacity">
Seats Taken: 62/80
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Jeffrey William Banks</li>
</ul>
<span class="course-capacity">
Seats Taken: 63/80
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2021</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Wing Sze E Kam</li>
</ul>
<span class="course-capacity">
Seats Taken: 78/80
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Eliane Zerbetto Traldi</li>
</ul>
<span class="course-capacity">
Seats Taken: 61/80
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 62/80
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Wing Sze E Kam</li>
</ul>
<span class="course-capacity">
Seats Taken: 102/80
</span>
</div>
</td>
<td colspan="2" class="term summer offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 37/40
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Wing Sze E Kam</li>
</ul>
<span class="course-capacity">
Seats Taken: 119/110
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2019</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 61/60
</span>
</div>
</td>
<td class="term summer2 not-offered">
</td>
<td class="term summer3 offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (2147483647-0c)
</span>
<ul class="prof-list">
</ul>
<span class="course-capacity">
Seats Taken: 0/0
</span>
</div>
</td>
<td class="term fall offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
<li>Wing Sze E Kam</li>
</ul>
<span class="course-capacity">
Seats Taken: 109/110
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Derek Alan Olson</li>
</ul>
<span class="course-capacity">
Seats Taken: 46/60
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 68/80
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2017</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 64/50
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Ashwani Kumar Kapila</li>
</ul>
<span class="course-capacity">
Seats Taken: 66/75
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 67/70
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 66/70
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2015</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 67/65
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 74/80
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 59/65
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 79/75
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2013</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 63/65
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 60/75
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 73/65
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 60/75
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2011</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 67/45
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 74/75
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 71/50
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 47/40
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2009</th>
<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 56/50
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 37/40
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 57/45
</span>
</div>
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 52/50
</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">
Advanced Calculus (4c)
</span>
<ul class="prof-list">
<li>Mohamed Boudjelkha</li>
</ul>
<span class="course-capacity">
Seats Taken: 41/36
</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
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