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	<id>https://mathresearch.utsa.edu/wiki/index.php?action=history&amp;feed=atom&amp;title=MAT5443</id>
	<title>MAT5443 - Revision history</title>
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	<updated>2026-09-13T19:17:22Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://mathresearch.utsa.edu/wiki/index.php?title=MAT5443&amp;diff=5340&amp;oldid=prev</id>
		<title>Jose.iovino at 02:16, 10 February 2025</title>
		<link rel="alternate" type="text/html" href="https://mathresearch.utsa.edu/wiki/index.php?title=MAT5443&amp;diff=5340&amp;oldid=prev"/>
		<updated>2025-02-10T02:16:05Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 02:16, 10 February 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Catalog entry ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Catalog entry ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;''&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Prerequisites&lt;/del&gt;''&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;: MAT 1214 and MAT 3013. &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;''&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'Catalog description'&lt;/ins&gt;''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;''Content'': &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Axiomatizations of propositional &lt;/del&gt;logic&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, axiomatizations &lt;/del&gt;of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;first&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;order logic&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;completeness &lt;/del&gt;and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;compactness&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;structures, compactness &lt;/del&gt;and the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Henkin method of constructing models by constants&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ultraproducts&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;real-valued &lt;/del&gt;logic &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;and applications&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''Prerequisites'': Discrete Mathematics [[MAT3003]] or instructor consent &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;''Content'': &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Abstract measure and integration, Hilbert spaces and their geometry, &lt;/ins&gt;logic of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;non&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;classical physics&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;logics &lt;/ins&gt;and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;states&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;linear functionals &lt;/ins&gt;and the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Riesz representation theorem, operator algebras&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Hermitian operators&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;the projection &lt;/ins&gt;logic&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, Gleason's theorem, spectrality&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jose.iovino</name></author>
		
	</entry>
	<entry>
		<id>https://mathresearch.utsa.edu/wiki/index.php?title=MAT5443&amp;diff=5158&amp;oldid=prev</id>
		<title>Juan.gutierrez3: Created page with &quot;== Catalog entry ==  ''Prerequisites'': MAT 1214 and MAT 3013.   ''Content'': Axiomatizations of propositional logic, axiomatizations of first-order logic, completeness and co...&quot;</title>
		<link rel="alternate" type="text/html" href="https://mathresearch.utsa.edu/wiki/index.php?title=MAT5443&amp;diff=5158&amp;oldid=prev"/>
		<updated>2023-03-31T15:21:38Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Catalog entry ==  &amp;#039;&amp;#039;Prerequisites&amp;#039;&amp;#039;: MAT 1214 and MAT 3013.   &amp;#039;&amp;#039;Content&amp;#039;&amp;#039;: Axiomatizations of propositional logic, axiomatizations of first-order logic, completeness and co...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Catalog entry ==&lt;br /&gt;
&lt;br /&gt;
''Prerequisites'': MAT 1214 and MAT 3013. &lt;br /&gt;
&lt;br /&gt;
''Content'': Axiomatizations of propositional logic, axiomatizations of first-order logic, completeness and compactness, structures, compactness and the Henkin method of constructing models by constants, ultraproducts, real-valued logic and applications.&lt;/div&gt;</summary>
		<author><name>Juan.gutierrez3</name></author>
		
	</entry>
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