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709 lines
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MATH-4090: Foundation of Analysis
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<meta property="og:title" content="MATH-4090: Foundation of Analysis">
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<meta property="og:description" content="The course provides an opportunity for the development of theorem-proving skills in the field of mathematical analysis. Expansion of a knowledge base comes as a by-product of energy expended in theorem proving and subsequent exposition. Analysis topics included are: sets, functions, the real numbers, cardinality, induction, decimal representations of real numbers, Euclidean spaces, abstract vector spaces, and metric spaces. This is a communication-intensive course.">
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<h1 id="name">
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Foundation of Analysis
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</h1>
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<h2 id="code">
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MATH-4090
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</h2>
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<p>
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The course provides an opportunity for the development of theorem-proving skills in the field of mathematical analysis. Expansion of a knowledge base comes as a by-product of energy expended in theorem proving and subsequent exposition. Analysis topics included are: sets, functions, the real numbers, cardinality, induction, decimal representations of real numbers, Euclidean spaces, abstract vector spaces, and metric spaces. This is a communication-intensive course.
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</p>
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4 credits
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<span class="attr-pill">
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Communication Intensive
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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-2010.html">MATH-2010 Multivariable Calculus and Matrix Algebra</a>
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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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<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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Foundations Of Analysis (4c) [CI]
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</span>
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<ul class="prof-list">
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<li>Margaret Z. Kiehl</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 43/40
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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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Foundations Of Analysis (4c) [CI]
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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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<li>Eliane Zerbetto Traldi</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 0/40
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</span>
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</div>
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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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Foundations Of Analysis (4c) [CI]
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</span>
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<ul class="prof-list">
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<li>Margaret Z. Kiehl</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 0/50
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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 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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Foundations Of Analysis (4c) [CI]
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</span>
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<ul class="prof-list">
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<li>Margaret Z. Kiehl</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 46/0
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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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Foundations Of Analysis (4c) [CI]
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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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<li>Eliane Zerbetto Traldi</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 38/40
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</span>
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</div>
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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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Foundations Of Analysis (4c) [CI]
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</span>
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<ul class="prof-list">
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<li>Margaret Z. Kiehl</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 54/50
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2021</th>
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<td class="term spring 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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Foundations Of Analysis (4c) [CI]
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</span>
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<ul class="prof-list">
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<li>Harry W McLaughlin</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: 55/50
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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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Foundations Of Analysis (4c) [CI]
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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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<li>Margaret Z. Kiehl</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 51/40
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</span>
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</div>
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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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Foundations Of Analysis (4c) [CI]
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</span>
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<ul class="prof-list">
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<li>Margaret Z. Kiehl</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 47/50
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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">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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|
Foundations Of Analysis (4c) [CI]
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</span>
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<ul class="prof-list">
|
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<li>Margaret Z. Kiehl</li>
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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: 53/50
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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">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Daniel Franklin Stevenson</li>
|
|
<li>Margaret Z. Kiehl</li>
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</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 44/50
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</span>
|
|
</div>
|
|
</td>
|
|
<td class="term fall offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 48/0
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</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2019</th>
|
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<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 49/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td colspan="2" class="term summer offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Daniel Franklin Stevenson</li>
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 32/50
|
|
</span>
|
|
</div>
|
|
</td>
|
|
<td class="term fall offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Gina Irene Kucinski</li>
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 66/60
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 53/50
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Daniel Franklin Stevenson</li>
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 55/48
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
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<th class="year">2017</th>
|
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<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Bruce Piper</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 49/60
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
<li>Bruce Piper</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 50/50
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</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 offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Bruce Piper</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 50/60
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 40/35
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 43/40
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2014</th>
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|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
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|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 42/35
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 39/42
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2013</th>
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|
<td class="term spring offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 41/35
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 37/40
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 43/35
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 30/30
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</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 offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 24/30
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 41/35
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 34/30
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 39/36
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 24/25
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 37/30
|
|
</span>
|
|
</div>
|
|
</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">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Harry W McLaughlin</li>
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 22/25
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
<tr>
|
|
<th class="year">2007</th>
|
|
<td class="term spring unscheduled">
|
|
</td>
|
|
<td colspan="2" class="term summer unscheduled">
|
|
</td>
|
|
<td class="term fall offered">
|
|
<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
Foundations Of Analysis (4c) [CI]
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Margaret Z. Kiehl</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 25/25
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
</div>
|
|
</body>
|
|
</html>
|