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MATH-4700: Foundations of Applied Mathematics
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<meta property="og:description" content="Mathematical formulation of models for various processes. Derivation of relevant differential equations from conservation laws and constitutive relations. Use of dimensional analysis, scaling, and elementary perturbation methods. Description of basic wave motion. Examples from areas including biology, elasticity, fluid dynamics, particle mechanics, chemistry, geophysics, and finance.">
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<h1 id="name">
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Foundations of Applied Mathematics
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</h1>
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MATH-4700
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</h2>
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<p>
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Mathematical formulation of models for various processes. Derivation of relevant differential equations from conservation laws and constitutive relations. Use of dimensional analysis, scaling, and elementary perturbation methods. Description of basic wave motion. Examples from areas including biology, elasticity, fluid dynamics, particle mechanics, chemistry, geophysics, and finance.
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4 credits
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Prereqs:
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<div id="prereq-classes" class="rel-info-courses">
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<a class="course-pill" href="MATH-2400">MATH-2400 Introduction to Differential Equations</a>
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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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<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">2024</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 unscheduled">
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</td>
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<td class="term fall unscheduled">
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</td>
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</tr>
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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 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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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202309&subj_in=MATH&crse_in=4700&schd_in=">Foundations Of Applied Math (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Peter R Kramer</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 17/50
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</span>
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</div>
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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 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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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202209&subj_in=MATH&crse_in=4700&schd_in=">Foundations Of Applied Math (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Peter R Kramer</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 23/50
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</span>
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</div>
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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 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 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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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202109&subj_in=MATH&crse_in=4700&schd_in=">Foundations Of Applied Math (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Ashwani Kumar Kapila</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 25/60
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</span>
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</div>
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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 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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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=MATH&crse_in=4700&schd_in=">Foundations Of Applied Math (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Peter R Kramer</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 32/60
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</span>
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</div>
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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 not-offered">
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</td>
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<td class="term summer2 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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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201905&subj_in=MATH&crse_in=4700&schd_in=">Found Of Appl Math (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Peter R Kramer</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 13/40
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</span>
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</div>
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</td>
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<td class="term summer3 not-offered">
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</td>
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<td class="term fall 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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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201909&subj_in=MATH&crse_in=4700&schd_in=">Foundations Of Applied Math (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Ashwani Kumar Kapila</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 36/60
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</span>
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</div>
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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 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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|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201809&subj_in=MATH&crse_in=4700&schd_in=">Foundations Of Applied Math (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Mark H Holmes</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 67/80
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</span>
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</div>
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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 offered">
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<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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 55/80
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</span>
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</div>
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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 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 offered">
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<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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 40/50
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|
</span>
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</div>
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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 offered">
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<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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 48/0
|
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</span>
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|
</div>
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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 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 offered">
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<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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 65/60
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</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 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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 54/60
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2012</th>
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<td class="term spring not-offered">
|
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</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 54/60
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<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>
|
|
<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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald A Drew</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 42/60
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
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<th class="year">2010</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 offered">
|
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<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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald A Drew</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 67/70
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<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>
|
|
<td class="term fall offered">
|
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<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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 49/45
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<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>
|
|
<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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 41/45
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 31/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 35/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 26/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mark H Holmes</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 25/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Peter R Kramer</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Peter R Kramer</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Peter R Kramer</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 23/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Peter R Kramer</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 24/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald A Drew</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 14/30
|
|
</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=4700&schd_in=">Foundations Of Applied Math (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Donald A Drew</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 14/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
</div>
|
|
</body>
|
|
</html>
|