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MATH-4300: Introduction to Complex Variables: Theory and Applications
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<meta property="og:description" content="An introduction to the theory and applications of complex variables. Topics include analytic functions, Riemann surfaces, complex integration, Taylor and Laurent series, residues, conformal mapping, harmonic functions, and Laplace transforms. Applications will be to problems in science and engineering such as fluid and heat flow, dynamical systems, and electrostatics.">
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<h1 id="name">
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Introduction to Complex Variables: Theory and Applications
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MATH-4300
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</h2>
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<p>
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An introduction to the theory and applications of complex variables. Topics include analytic functions, Riemann surfaces, complex integration, Taylor and Laurent series, residues, conformal mapping, harmonic functions, and Laplace transforms. Applications will be to problems in science and engineering such as fluid and heat flow, dynamical systems, and electrostatics.
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4 credits
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none
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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">2023</th>
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<td class="term spring 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=202301&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (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: 41/60
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer 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=202305&subj_in=MATH&crse_in=4300&schd_in=">Intro To Complex Variables (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Belmiro Galo da Silva</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 47/60
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</span>
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</div>
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</td>
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<td class="term fall not-offered">
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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 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=202201&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (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: 63/60
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer 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=202205&subj_in=MATH&crse_in=4300&schd_in=">Intro To Complex Variables (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: 47/60
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</span>
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</div>
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</td>
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<td class="term fall not-offered">
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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 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=202101&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (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: 31/60
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer 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=202105&subj_in=MATH&crse_in=4300&schd_in=">Intro To Complex Variables (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: 49/60
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</span>
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</div>
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</td>
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<td class="term fall not-offered">
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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 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=202001&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (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: 59/60
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</span>
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</div>
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</td>
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<td colspan="2" class="term summer 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=202005&subj_in=MATH&crse_in=4300&schd_in=">Intro To Complex Variables (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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<li>Daniel Franklin Stevenson</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 57/60
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</span>
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</div>
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</td>
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<td class="term fall not-offered">
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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 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=201901&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
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|
</span>
|
|
<ul class="prof-list">
|
|
<li>Daniel Franklin Stevenson</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 47/50
|
|
</span>
|
|
</div>
|
|
</td>
|
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<td class="term summer2 not-offered">
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</td>
|
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<td class="term summer3 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=201905&subj_in=MATH&crse_in=4300&schd_in=">Intro To Complex Variables (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Mohamed Boudjelkha</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 65/60
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td class="term fall not-offered">
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</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2018</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201801&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 36/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
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|
</td>
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<td class="term fall not-offered">
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|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2017</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201701&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 50/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
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|
</td>
|
|
<td class="term fall not-offered">
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|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2016</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201601&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Ashwani Kumar Kapila</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 41/45
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2015</th>
|
|
<td class="term spring 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=201501&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Gregor Kovacic</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 39/45
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2014</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201401&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>David Isaacson</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 40/45
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2013</th>
|
|
<td class="term spring 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=201301&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Bruce Piper</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 41/45
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2012</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201201&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>David Isaacson</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 36/35
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2011</th>
|
|
<td class="term spring 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=201101&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Liwei Xu</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 39/35
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2010</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201001&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Liwei Xu</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 26/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2009</th>
|
|
<td class="term spring 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=200901&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Maxim S Shkarayev</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 40/35
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2008</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200801&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Maxim S Shkarayev</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 30/35
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2007</th>
|
|
<td class="term spring 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=200701&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>David Isaacson</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 33/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2006</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2005</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2004</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2003</th>
|
|
<td class="term spring not-offered">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2002</th>
|
|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200201&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Melinda Koelling</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 25/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2001</th>
|
|
<td class="term spring 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=200101&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Victor Roytburd</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 24/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2000</th>
|
|
<td class="term spring 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=200001&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Chjan C Lim</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 19/30
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">1999</th>
|
|
<td class="term spring 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=199901&subj_in=MATH&crse_in=4300&schd_in=">Intro Complex Var (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Victor Roytburd</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 18/40
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">1998</th>
|
|
<td class="term spring unscheduled">
|
|
</td>
|
|
<td colspan="2" class="term summer not-offered">
|
|
</td>
|
|
<td class="term fall not-offered">
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
</div>
|
|
</body>
|
|
</html>
|