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655 lines
28 KiB
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MATP-4700: Mathematical Models of Operations Research
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<meta property="og:title" content="MATP-4700: Mathematical Models of Operations Research">
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<meta property="og:description" content="Introduction to deterministic models of operations research including linear programming formulations, the simplex algorithm, degeneracy, geometry of convex polyhedra, duality theory, and sensitivity analysis. Special linear programming models for assignment, transportation, and network problems. Integer programming formulations along with branch and bound solution. Dynamic programming.">
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<h1 id="name">
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Mathematical Models of Operations Research
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</h1>
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<h2 id="code">
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MATP-4700
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</h2>
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<p>
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Introduction to deterministic models of operations research including linear programming formulations, the simplex algorithm, degeneracy, geometry of convex polyhedra, duality theory, and sensitivity analysis. Special linear programming models for assignment, transportation, and network problems. Integer programming formulations along with branch and bound solution. Dynamic programming.
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4 credits
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Prereqs:
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</div>
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<div id="prereq-classes" class="rel-info-courses">
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<a class="course-pill" href="MATH-2010">MATH-2010 Multivariable Calculus and Matrix Algebra</a>
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Past Term Data
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<th></th>
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<th class="spring season-label">Spring</th>
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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 colspan="2"></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=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>John E. Mitchell</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 29/50
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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=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>John E. Mitchell</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 23/70
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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=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>John E. Mitchell</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 44/70
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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=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>John E. Mitchell</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 54/70
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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 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=201909&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>John E. Mitchell</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 44/50
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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">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=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>John E. Mitchell</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 41/50
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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">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">
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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=201709&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>John E. Mitchell</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 42/60
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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">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">
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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=201609&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Joseph G Ecker</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 49/55
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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">
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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=201509&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Joseph G Ecker</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 34/30
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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">
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<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
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</span>
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|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
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<li>Michael Kupferschmid</li>
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</ul>
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<span class="course-capacity">
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|
Seats Taken: 27/30
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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">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">
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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=201309&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Michael Kupferschmid</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 23/30
|
|
</span>
|
|
</div>
|
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</td>
|
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</tr>
|
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<tr>
|
|
<th class="year">2012</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=201209&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Michael Kupferschmid</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 28/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2011</th>
|
|
<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=201109&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Michael Kupferschmid</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 29/30
|
|
</span>
|
|
</div>
|
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</td>
|
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</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 23/30
|
|
</span>
|
|
</div>
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</td>
|
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</tr>
|
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<tr>
|
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<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>
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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">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200909&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Michael Kupferschmid</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 25/30
|
|
</span>
|
|
</div>
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</td>
|
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</tr>
|
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<tr>
|
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<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>
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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=200809&subj_in=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 16/30
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Michael Kupferschmid</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 23/30
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Jong-Shi Pang</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 13/40
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 13/40
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 14/40
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 10/40
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 11/40
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Joseph G Ecker</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 12/40
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 12/40
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Michael Kupferschmid</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 15/31
|
|
</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=MATP&crse_in=4700&schd_in=">Math Models Of Operations Rsch (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>John E. Mitchell</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 17/60
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
</div>
|
|
</body>
|
|
</html>
|