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672 lines
28 KiB
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MATH-4200: Mathematical Analysis
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<meta property="og:title" content="MATH-4200: Mathematical Analysis">
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<meta property="og:description" content="Fundamental concepts of mathematical analysis will be covered including such topics as the real number system, metric spaces, limits, sequences, series, convergence, functions of one variable, uniform convergence, continuity, differentiability, Riemann integration, and the Stone-Weierstrass Theorem.">
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<h1 id="name">
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Mathematical Analysis
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</h1>
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<h2 id="code">
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MATH-4200
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</h2>
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<p>
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Fundamental concepts of mathematical analysis will be covered including such topics as the real number system, metric spaces, limits, sequences, series, convergence, functions of one variable, uniform convergence, continuity, differentiability, Riemann integration, and the Stone-Weierstrass Theorem.
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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-1020">MATH-1020 Calculus II</a>
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<div class="pr-and">and</div>
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<a class="course-pill" href="MATH-4090">MATH-4090 Foundations Of Analysis</a>
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Past Term Data
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Offered
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Offered as Cross-Listing Only
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Detailed View
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<table id="years-table">
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<thead>
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<tr>
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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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</tr>
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<tr>
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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 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=202409&subj_in=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Daniel Franklin Stevenson</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 23/40
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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">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=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Bruce Piper</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 22/40
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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=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Daniel Franklin Stevenson</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 31/40
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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=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Fengyan Li</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 25/40
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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=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Fengyan Li</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 35/40
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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=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Bruce Piper</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 23/30
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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">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=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Fengyan Li</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 8/40
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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=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Fengyan Li</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 26/40
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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=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Fengyan Li</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 25/40
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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=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Gregor Kovacic</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 29/35
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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">
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|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Gregor Kovacic</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 25/35
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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=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
|
|
<ul class="prof-list">
|
|
<li>Gregor Kovacic</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 29/35
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|
</span>
|
|
</div>
|
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</td>
|
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</tr>
|
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<tr>
|
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<th class="year">2012</th>
|
|
<td class="term spring not-offered">
|
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</td>
|
|
<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=201209&subj_in=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
|
|
<ul class="prof-list">
|
|
<li>Victor Roytburd</li>
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|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 27/35
|
|
</span>
|
|
</div>
|
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</td>
|
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</tr>
|
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<tr>
|
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<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>
|
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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=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
|
|
<ul class="prof-list">
|
|
<li>Gregor Kovacic</li>
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|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 26/35
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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">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">
|
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<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201009&subj_in=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Gregor Kovacic</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 28/39
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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">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">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200909&subj_in=MATH&crse_in=4200&schd_in=">Mathematical Analysis I (4c) [WI]</a>
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</span>
|
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<ul class="prof-list">
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<li>Gregor Kovacic</li>
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</ul>
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<span class="course-capacity">
|
|
Seats Taken: 24/40
|
|
</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">
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c) [WI]</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Gregor Kovacic</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 23/40
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c) [WI]</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Gregor Kovacic</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 40/60
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c) [WI]</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Gregor Kovacic</li>
|
|
<li>Victor Roytburd</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 48/60
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c) [WI]</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Victor Roytburd</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 19/32
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c) [WI]</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Victor Roytburd</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 24/32
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c) [WI]</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Chjan C Lim</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 23/32
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c) [WI]</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Bruce Piper</li>
|
|
<li>Victor Roytburd</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 48/64
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Victor Roytburd</li>
|
|
<li>Melinda Koelling</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 50/70
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Clifford J. Nolan</li>
|
|
<li>Bruce Piper</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 33/60
|
|
</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=4200&schd_in=">Mathematical Analysis I (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Cheney</li>
|
|
<li>Bruce Piper</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 30/60
|
|
</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=4200&schd_in=">Mathematical Analysis (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Bruce Piper</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 15/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
</div>
|
|
</body>
|
|
</html>
|