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calculus:resources:calculus_videos:chapter2 [2015/09/12 00:12] – kazcalculus:resources:calculus_videos:chapter2 [2015/11/21 21:35] (current) – kaz
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 +~~NOTOC~~
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 +</style>
 +<div id="header">
 +<h1 style="margin-top:1; margin-bottom:1;">Calculus Chapter 2</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/chapter3">Chapter 3</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>===== The Derivative as a Function =====\\ //Section 2.2 in Stewart's Calculus.//</WRAP>
 +<WRAP group>
 +<WRAP centeralign>  [[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/2.2_derivative_function.pdf|Classroom Slides PDF]]  
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
  
 +<WRAP box 750px>
 +<WRAP centeralign>===== Differentiation Formulas =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>qFHSXnXSaS4}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 2.3 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * Derivative formulas for powers and roots.\\ 
 +  * Derivative formulas for sums/differences/products/quotients.
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/2.3_differentiation_formulas.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Trigonometric Derivatives =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>tafh4ANt-gs}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 2.4 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * Familiarity with the limit of sin(x)/x as x approaches zero.
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/2.4_trig_derivatives.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== The Chain Rule =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>bNwaBeNamr0}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 2.5 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * Composition and rates of change.\\ 
 +  * Chain Rule Formula.
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/2.5_chain_rule.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Implicit Differentiation =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>LUtciqbWhyw}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>hUEDDP7CvPs}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP group>
 +<WRAP half column>
 +//Section 2.6 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * An equation implicitly defines many functions.\\ 
 +  * Implicitly versus explicitly defined functions.\\ 
 +  * Basics of Implicit Differentiation.
 +</WRAP> 
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/2.6_implicit_differentiation.pdf|Classroom Slides PDF]]
 +</WRAP> 
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Rates of Change in the Sciences =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>ZImKZBJlkRE}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 2.7 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * Instantaneous Rates of Change are everywhere!
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/2.7_sciences.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Related Rates =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>W6sPil54GQ8}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>Q0wgb9pYMoo}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP group>
 +<WRAP>
 +//Section 2.8 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * Rates of change can be found by implicitly differentiating an equation. This technique is useful in obtaining information in natural, less mathematical, settings.\\
 +</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/2.8_related_rates.pdf|Classroom Slides PDF]]
 +</WRAP> 
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Linearization and Differentials =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>1rtvN3dcxbU}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>2bf00We0FNg}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP group>
 +<WRAP>
 +//Section 2.9 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * Lines are functions, even tangent lines.\\ 
 +  * Linearization of a function f(x) approximates the values of f(x).\\ 
 +  * The change along the y-axis can be approximated with linearization.
 +</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/2.9_linearization_differentials.pdf|Classroom Slides PDF]]
 +</WRAP>
 +<WRAP half column centeralign>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<html>
 +<style>
 +#footer {
 +    background-color:#006f3f;
 +    height: 16px;
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 +#footer h1 {
 +    font-size: 14px;
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