MAT1223 - Revision history

Glenn.lahodny: /* Topics List */

2024-06-11T15:34:07Z

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2024-06-11T15:26:14Z

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2024-06-11T15:23:38Z

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2024-06-11T15:20:33Z

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2024-06-11T15:18:58Z

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Glenn.lahodny: /* Topics List */

2024-05-17T15:52:48Z

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Glenn.lahodny: /* Topics List */

2024-05-17T15:24:07Z

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2024-05-17T15:02:16Z

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Glenn.lahodny at 14:59, 17 May 2024

2024-05-17T14:59:49Z

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Juan.gutierrez3 at 21:50, 31 March 2023

2023-03-31T21:50:39Z

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 * Evaluate integrals involving products and powers of sin(x) and cos(x).
 * Evaluate integrals involving products and powers of sec(x) and tan(x).
 * Solve problems involving applications of integration using trigonometric integrals.
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-|Week&nbsp;6
+|Week&nbsp;6/7
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 * Evaluate integrals involving the square root of a sum or difference of two squares.
 * Solve problems involving applications of integration using trigonometric substitution.
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-|Week&nbsp;7
+|Week&nbsp;7/8
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 * Integrate a rational function whose denominator is a product of linear and quadratic polynomials.
 * Recognize distinct linear factors in a rational function.
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 * Find a recursive definition of a sequence.
 * Determine the convergence or divergence of a given sequence.
 * Find the limit of a convergent sequence.
 * Determine whether a sequence is bounded and/or monotone.
 * Apply the Monotone Convergence Theorem.
@@ Line 344: / Line 345: @@
 * Find the sum of a convergent geometric series.
 * Identify a telescoping series.
-* Find the sum of a telescoping series.
+* Find the sum of a convergent telescoping series.
 |-
-|Week&nbsp;11
+|Week&nbsp;10/11
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 * Use the Integral Test to determine whether a series converges or diverges.
 * Use the p-Series Test to determine whether a series converges or diverges.
 |-
 |Week&nbsp;11
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 * Use the Alternating Series Test to determine the convergence of an alternating series.
 * Explain the meaning of absolute convergence and conditional convergence.
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 * Differentiate and integrate power series term-by-term.
 * Use differentiation and integration of power series to represent certain functions as power series.
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-|Week&nbsp;15
+|Week&nbsp;14/15
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 * Find a Taylor or Maclaurin series representation of a function.
 * Find the radius of convergence of a Taylor Series or Maclaurin series.
 |-
 |}

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 * Calculate the volume of a solid of revolution by using the method of cylindrical shells.
 * Compare the different methods for calculating a volume of revolution.
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 * Calculate the work done by a variable force acting along a line.
 * Calculate the work done in stretching/compressing a spring.
 * Calculate the work done in lifting a rope/cable.
 * Calculate the work done in pumping a liquid from one height to another.

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← Older revision		Revision as of 15:20, 11 June 2024
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← Older revision		Revision as of 15:18, 11 June 2024
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-|Week&nbsp;3
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-|Week&nbsp;5-6
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← Older revision		Revision as of 15:24, 17 May 2024
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	* Calculate the work done in pumping a liquid from one height to another.		* Calculate the work done in pumping a liquid from one height to another.
	* Find the hydrostatic force against a submerged vertical plate.		* Find the hydrostatic force against a submerged vertical plate.
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−	\|-
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−	~~\|Week 5~~
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−	\|\|
−
−	~~<div style="text-align: center;">2.6</div>~~
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−
−	~~[[Moments and Center of Mass]]~~
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−	\|\|
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−	* [[Toolkit Functions\|Graphing elementary functions]] <!-- 1073-Mod 1.2 -->
−	* [[The Fundamental Theorem of Calculus]] <!-- 1214-5.3 -->
−	* [[Integration by Substitution]] <!-- 1224-1.5 -->
−
−	\|\|
−
−	* Find the center of mass of objects distributed along a line.
−	* Find the center of mass of objects distributed in a plane.
−	* Locate the center of mass of a thin plate.
−	* Use symmetry to help locate the centroid of a thin plate.

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 {| class="wikitable sortable"
 ! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes
 |-

← Older revision		Revision as of 21:50, 31 March 2023
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	[https://openstax.org/details/books/calculus-volume-2 Calculus (Volume 2) by Gilbert Strang, Edwin Herman, et al.]		[https://openstax.org/details/books/calculus-volume-2 Calculus (Volume 2) by Gilbert Strang, Edwin Herman, et al.]

−	~~A comprehensive list of all undergraduate math courses at UTSA can be found [https://catalog.utsa.edu/undergraduate/coursedescriptions/mat/ here].~~

−	~~The Wikipedia summary of [https://en.wikipedia.org/wiki/Calculus calculus and its history].~~

	{\| class="wikitable"		{\| class="wikitable"