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16 KiB
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MATH-6220: Applied Functional Analysis
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<meta property="og:title" content="MATH-6220: Applied Functional Analysis">
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<meta property="og:description" content="A basic course in the concepts of linear functional analysis, including such topics as Banach and Hilbert spaces, L^p and l^p (sequence) spaces; weak, strong and weak* convergence; linear functionals; linear bounded, unbounded, closed, and compact operators; spectrum, resolvent, the spectral theorem for compact operators, Fredholm alternative; applications are to differential equations, integral equations and optimization.">
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<h1 id="name">
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Applied Functional Analysis
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</h1>
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<h2 id="code">
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MATH-6220
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</h2>
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<p>
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A basic course in the concepts of linear functional analysis, including such topics as Banach and Hilbert spaces, L^p and l^p (sequence) spaces; weak, strong and weak* convergence; linear functionals; linear bounded, unbounded, closed, and compact operators; spectrum, resolvent, the spectral theorem for compact operators, Fredholm alternative; applications are to differential equations, integral equations and optimization.
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4 credits
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<div id="prereq-title" class="rel-info-title">
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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-4100.html">MATH-4100 Linear Algebra</a>
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<div class="pr-and">and</div>
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<a class="course-pill" href="MATH-4300.html">MATH-4300 Introduction to Complex Variables: Theory and Applications</a>
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<div class="pr-and">and</div>
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<a class="course-pill" href="MATH-4200.html">MATH-4200 Mathematical Analysis I</a>
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<div class="pr-and">and</div>
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<a class="course-pill" href="MATH-4600.html">MATH-4600 Advanced Calculus</a>
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Past Term Data
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Offered
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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">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 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 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 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 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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Applied Functional Analysis (4c)
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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: 3/30
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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">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 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 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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Applied Functional Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>David Isaacson</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 4/20
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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 not-offered">
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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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Applied Functional Analysis (4c)
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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: 7/20
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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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Intro To Func Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Joyce R. McLaughlin</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 8/20
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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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Intro To Func Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Joyce R. McLaughlin</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 12/30
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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 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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Intro To Func Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Chjan C Lim</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 8/30
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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 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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Intro To Func Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Joyce R. McLaughlin</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 8/30
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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 not-offered">
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</td>
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</tr>
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<tr>
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<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">
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<span class="term-course-info">
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Intro To Functional Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Joyce R. McLaughlin</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 12/30
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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">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">
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<span class="term-course-info">
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Intro To Functional Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Joyce R. McLaughlin</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 10/30
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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">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">
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Intro To Functional Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Michael Zuker</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 4/30
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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">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">
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Intro To Functional Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Joyce R. McLaughlin</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 7/30
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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">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">
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<span class="term-course-info">
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Intro To Functional Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Joyce R. McLaughlin</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 16/30
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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">2007</th>
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<td class="term spring unscheduled">
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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 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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Intro To Functional Analysis (4c)
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</span>
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<ul class="prof-list">
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<li>Joyce R. McLaughlin</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 2/20
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</span>
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</div>
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</td>
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</tr>
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</tbody>
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</table>
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</div>
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</div>
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</body>
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