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MATH-4090 - Foundation of Analysis
</title>
<meta property="og:title" content="MATH-4090 - Foundation of Analysis">
<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">
Foundation of Analysis
</h1>
<h2 id="code">
MATH-4090
</h2>
<p>
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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4 credits
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Communication Intensive
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Prereqs:
</div>
<div id="prereq-classes" class="rel-info-courses">
<a class="course-pill" href="MATH-2010.html">MATH-2010 Multivariable Calculus and Matrix Algebra</a>
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<th class="fall season-label">Fall</th>
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<th class="summer2 midsum-label">(Session 1)</th>
<th class="summer3 midsum-label">(Session 2)</th>
<th></th>
</tr>
</thead>
<tbody>
<tr>
<th class="year">2023</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: 43/40
</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>Eliane Zerbetto Traldi</li>
</ul>
<span class="course-capacity">
Seats Taken: 0/40
</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: 0/50
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2022</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: 46/0
</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>Eliane Zerbetto Traldi</li>
</ul>
<span class="course-capacity">
Seats Taken: 38/40
</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: 54/50
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2021</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>Harry W McLaughlin</li>
<li>Daniel Franklin Stevenson</li>
</ul>
<span class="course-capacity">
Seats Taken: 55/50
</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>Bruce Piper</li>
<li>Margaret Z. Kiehl</li>
</ul>
<span class="course-capacity">
Seats Taken: 51/40
</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: 47/50
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2020</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>
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 53/50
</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: 44/50
</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>Margaret Z. Kiehl</li>
</ul>
<span class="course-capacity">
Seats Taken: 48/0
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2019</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: 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">
</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>
<th class="year">2017</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>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">
</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>
<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: 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>
<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>
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