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	<id>https://mathresearch.utsa.edu/wiki/index.php?action=history&amp;feed=atom&amp;title=Taylor_and_Maclaurin_Series</id>
	<title>Taylor and Maclaurin Series - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://mathresearch.utsa.edu/wiki/index.php?action=history&amp;feed=atom&amp;title=Taylor_and_Maclaurin_Series"/>
	<link rel="alternate" type="text/html" href="https://mathresearch.utsa.edu/wiki/index.php?title=Taylor_and_Maclaurin_Series&amp;action=history"/>
	<updated>2026-04-18T05:19:21Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.34.1</generator>
	<entry>
		<id>https://mathresearch.utsa.edu/wiki/index.php?title=Taylor_and_Maclaurin_Series&amp;diff=3271&amp;oldid=prev</id>
		<title>Lila: /* Applications of Taylor and Maclaurin Series */</title>
		<link rel="alternate" type="text/html" href="https://mathresearch.utsa.edu/wiki/index.php?title=Taylor_and_Maclaurin_Series&amp;diff=3271&amp;oldid=prev"/>
		<updated>2021-10-29T19:41:21Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Applications of Taylor and Maclaurin Series&lt;/span&gt;&lt;/span&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 19:41, 29 October 2021&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-l275&quot; &gt;Line 275:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 275:&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;* [https://www.youtube.com/watch?v=Tq6pNCwI0cM, Maclaurin Series to Estimate a Definite Integral] Video by Krista King&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;* [https://www.youtube.com/watch?v=Tq6pNCwI0cM, Maclaurin Series to Estimate a Definite Integral] Video by Krista King&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;div&gt;* [https://www.youtube.com/watch?v=4WEGEC7mpQU, Maclaurin Series to Estimate an Indefinite Integral] Video by Krista King&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;* [https://www.youtube.com/watch?v=4WEGEC7mpQU, Maclaurin Series to Estimate an Indefinite Integral] Video by Krista King&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Licensing==&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Content obtained and/or adapted from:&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* [https://en.wikibooks.org/wiki/Calculus/Taylor_series Taylor series, Wikibooks: Calculus] under a CC BY-SA license&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lila</name></author>
		
	</entry>
	<entry>
		<id>https://mathresearch.utsa.edu/wiki/index.php?title=Taylor_and_Maclaurin_Series&amp;diff=2045&amp;oldid=prev</id>
		<title>Khanh at 15:51, 10 October 2021</title>
		<link rel="alternate" type="text/html" href="https://mathresearch.utsa.edu/wiki/index.php?title=Taylor_and_Maclaurin_Series&amp;diff=2045&amp;oldid=prev"/>
		<updated>2021-10-10T15:51:51Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://mathresearch.utsa.edu/wiki/index.php?title=Taylor_and_Maclaurin_Series&amp;amp;diff=2045&amp;amp;oldid=843&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Khanh</name></author>
		
	</entry>
	<entry>
		<id>https://mathresearch.utsa.edu/wiki/index.php?title=Taylor_and_Maclaurin_Series&amp;diff=843&amp;oldid=prev</id>
		<title>Glenn.lahodny: Created page with &quot;&lt;strong&gt;Taylor and Maclaurin Series&lt;/strong&gt;  * [https://www.youtube.com/watch?v=cwpJxfHkR1o, Taylor and Maclaurin Series] Video by James Sousa, Math is Power 4U * [https://ww...&quot;</title>
		<link rel="alternate" type="text/html" href="https://mathresearch.utsa.edu/wiki/index.php?title=Taylor_and_Maclaurin_Series&amp;diff=843&amp;oldid=prev"/>
		<updated>2020-11-20T14:49:00Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;strong&amp;gt;Taylor and Maclaurin Series&amp;lt;/strong&amp;gt;  * [https://www.youtube.com/watch?v=cwpJxfHkR1o, Taylor and Maclaurin Series] Video by James Sousa, Math is Power 4U * [https://ww...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;strong&amp;gt;Taylor and Maclaurin Series&amp;lt;/strong&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [https://www.youtube.com/watch?v=cwpJxfHkR1o, Taylor and Maclaurin Series] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=jKq-TdR9GG8, Ex: Find the Taylor Series of x^3] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=vzn7EdBQgBk, Ex: Find the Taylor Series of e^x] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=Zt7QQt-3-xA, Determine the Maclaurin Series and Polynomial] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=xgxvpkN-jrU, Determine the Maclaurin Series and Polynomial of acos(bx^2)] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=vdFqHLY6elE, Determine the Maclaurin Series and Polynomial of ax^2e^(bx)] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=TfipAnX2sWs, Determine the Maclaurin Series and Polynomial of ax^2sin(bx)] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=GUtLtRDox3c, Taylor/Maclaurin Series Expansion, Proof of the Formula] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=cjPoEZ0I5wQ, Taylor and Maclaurin Series, Example 1] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=Os8OtXFBLkY, Taylor and Maclaurin Series, Example 2] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=OADFAVC9EgQ, Finding a Maclaurin Series Expansion - Another Example] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=jGAWFkLRr3s, Finding a New Power Series by Manipulating a Known Power Series Ex 1] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=cT5IXkzcXJQ, Finding a New Power Series by Manipulating a Known Power Series Ex 2] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=GJFKLyC48-8, Maclaurin Series] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=lv9Kqk7rxJw, Maclaurin Series Radius of Convergence] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=LDBnS4c7YbA, Taylor Series and Maclaurin Series] Video by The Organic Chemistry Tutor&lt;br /&gt;
* [https://www.youtube.com/watch?v=3d6DsjIBzJ4, Taylor Series] Video by 3Blue1Brown&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;strong&amp;gt;Taylor and Maclaurin Polynomials&amp;lt;/strong&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [https://www.youtube.com/watch?v=lShzrGyiueg, Taylor Polynomials] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=SC6TsVsP90U, Find a Degree One and Degree Two Maclaurin Polynomial] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=39s-mgfuuno, Determine a Taylor Polynomial of the Square Root Function] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=6eNE38s9Fv0, Finding a Maclaurin Polynomial, Ex 1] Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=tYl7tXKKkSw, Finding a Maclaurin Polynomial, Ex 2] Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=WKvBJdl1qrM, Finding a Taylor Polynomial to Approximate a Function, Ex 1] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=w_oDLT5VnBI, Finding a Taylor Polynomial to Approximate a Function, Ex 2] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=UINFWG0ErSA, Finding a Taylor Polynomial to Approximate a Function, Ex 3] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=em4YU8rUhco, Finding a Taylor Polynomial to Approximate a Function, Ex 4] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=C1vcVMotnkg, Taylor Polynomial Example 1 Part 1] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=JMU-4o-Ffus, Taylor Polynomial Example 1 Part 2] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=h2EGCv0PyZ8, Taylor Polynomial Example 2 Part 1] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=Fw9u5h4MoJo, Taylor Polynomial Example 2 Part 2] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=kd5nuHkKsr4, Taylor Polynomial Example 3 Part 1] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=l5eqQFfMp-0, Taylor Polynomial Example 3 Part 2] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=NWl-dwL7_Do, Taylor Polynomial Example 3 Part 3] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=urPIxvNBXF0, Taylor Polynomials and Maclaurin Polynomials with Approximations] Video by The Organic Chemistry Tutor&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;strong&amp;gt;Taylor's Inequality / Taylor's Remainder Theorem&amp;lt;/strong&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [https://www.youtube.com/watch?v=DP_pGQaNGdw, Taylor's Theorem with Remainder] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=wqgAG9TtNAA, Ex: Find a Maclaurin Polynomial and Error of an Approximation] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=CExJJShnzzg, Ex: Find a Maclaurin Polynomial and the Interval for a Given Error] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=lwEU4ZkwcJA, Ex: Find a Maclaurin Polynomial and the Interval for a Given Error] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=9LnCcAoEHG4, Taylor's Inequality] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=yJWFAG1g4Jw, Taylor's Remainder Theorem, Finding the Remainder Ex 1] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=30n1eiu8lFs, Taylor's Remainder Theorem, Finding the Remainder Ex 2] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=pZBRc5uegEs, Taylor's Remainder Theorem, Finding the Remainder Ex 3] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=aa0hyXZH9vw, Taylor's Remainder Theorem, Finding the Remainder Ex 4] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=xsCTDZQULJ4, Taylor's Inequality] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=lY0LzJXTgeo, Taylor's Remainder Theorem] Video by The Organic Chemistry Tutor&lt;br /&gt;
* [https://www.youtube.com/watch?v=Q9y43_02vFw, Lagrange Error Bound to Find Error when Using Taylor Polynomials] Video by Patrick JMT&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;strong&amp;gt;Applications of Taylor and Maclaurin Series&amp;lt;/strong&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* [https://www.youtube.com/watch?v=Ifnnuk6UeNE, Ex: Use a Maclaurin Polynomial to Approximate an Integral] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=vfrwoCGdXSo, Ex: Determine a Simplified Power Series for a Function Involving e^(ax)] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=5RpUtQBFNdM, Find the Sum of an Infinite Series Using a Known Power Series] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=Wv0SuLhHa4k, Find the Sum of an Infinite Series Using a Known Power Series] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=XN_CqqH89eU, Find the Sum of an Infinite Series Using a Known Power Series] Video by James Sousa, Math is Power 4U&lt;br /&gt;
* [https://www.youtube.com/watch?v=3ZOS69YTxQ8, Using Maclaurin/Taylor Series to Approximate a Definite Integral to a Desired Accuracy] Video by Patrick JMT&lt;br /&gt;
* [https://www.youtube.com/watch?v=7TFpx8DbfUQ, Maclaurin Series to Evaluate a Limit] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=dZhqQbqLxks, Sum of the Maclaurin Series] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=Tq6pNCwI0cM, Maclaurin Series to Estimate a Definite Integral] Video by Krista King&lt;br /&gt;
* [https://www.youtube.com/watch?v=4WEGEC7mpQU, Maclaurin Series to Estimate an Indefinite Integral] Video by Krista King&lt;/div&gt;</summary>
		<author><name>Glenn.lahodny</name></author>
		
	</entry>
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