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calculus:resources:calculus_videos:chapter3 [2015/10/06 22:55] – kazcalculus:resources:calculus_videos:chapter3 [2016/02/14 04:53] (current) – kaz
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 +</style>
 +<div id="header">
 +<h1 style="margin-top:1; margin-bottom:1;">Calculus Chapter 3</h1></div>
 +<div id="menu">
 +<ul>
 +<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_videos">Home</a></li>
 +<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_videos/chapter1">Chapter 1</a></li>
 +<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_videos/chapter2">Chapter 2</a></li>
 +<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_videos/chapter4">Chapter 4</a></li>
 +<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_videos/chapter5">Chapter 5</a></li>
 +</ul>
 +</div>
 +</html>
 +\\ 
 +
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Critical Points and the Closed Interval Method =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>5ooKqwH3gvs}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>qIilPJYGwg4}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP group>
 +<WRAP>
 +//Section 3.1 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * Graphical understanding of extrema.\\ 
 +  * Fermat's Theorem.\\ 
 +  * Local extrema are critical points, the opposite isn't necessarily true.\\ 
 +  * Extreme Value Theorem.\\ 
 +  * The Closed Interval Method.
 +</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/3.1_critical_points.pdf|Classroom Slides PDF]]
 +</WRAP>
 +<WRAP half column centeralign>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +
 +\\ 
 +<WRAP box 750px>
 +<WRAP centeralign>===== The Mean Value Theorem ===== //Section 3.2 in Stewart's Calculus.//</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>  [[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/3.2_mean_value_theorem.pdf|Classroom Slides PDF]]  
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +
 +\\ 
 +<WRAP box 750px>
 +<WRAP centeralign>===== The Shape of a Graph =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>npez7AKzCfM}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>IsQ6Zi-g51Q}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +<WRAP group>
 +<WRAP>
 +//Section 3.3 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * If the derivative is positive on an interval, the original function is increasing on that interval. If the derivative is negative on an interval, the original function is decreasing on that interval.\\ 
 +  * Concavity describes the direction a function is bending. A function is concave up on an interval, if the second derivative is positive on that interval and the function bends upwards. A function is concave down on an interval, if the second derivative is negative on that interval and the function bends downwards.
 +</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/3.3_graph_shape.pdf|Classroom Slides PDF]]
 +</WRAP>
 +<WRAP half column centeralign>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Horizontal Asymptotes =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>E29ZLZ_EoCI}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>BoJbExhO5rI}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +<WRAP group>
 +<WRAP>
 +//Section 3.4 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * The end behavior of a function is described with limits.\\ 
 +  * Horizontal asymptotes of power functions are either zero or do not exist (tend towards infinity).\\ 
 +  * Determinate and indeterminate forms.\\ 
 +</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/3.4_horizontal_asymptotes.pdf|Classroom Slides PDF]]
 +</WRAP>
 +<WRAP half column centeralign>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Curve Sketching =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>hfkgjFf2vLU}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 3.5 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * The basics of curve sketching. 
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Optimization =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>U1t1dJbQtgg}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 3.7 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * Optimized solutions to problems are found at critical points. This technique is useful in obtaining information in natural, less mathematical, settings.\\  
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/3.7_optimization.pdf|Classroom Slides PDF]]
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign> 
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Antiderivatives =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>tzjvqUO2kDM}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 3.9 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * Antiderivatives of a function f(x) are functions whose derivative is f(x).\\ 
 +  * The antiderivatives of a function differ by only a constant.\\ 
 +  * Antiderivatives of common functions.\\ 
 +</WRAP>
 +<WRAP clear></WRAP>
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 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/3.9_antiderivatives.pdf|Classroom Slides PDF]]
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