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calculus:resources:calculus_videos:chapter4 [2015/08/29 02:33] – external edit 127.0.0.1calculus:resources:calculus_videos:chapter4 [2017/10/29 20:38] (current) – kaz
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 +<div id="header">
 +<h1 style="margin-top:1; margin-bottom:1;">Calculus Chapter 4</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/chapter3">Chapter 3</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>===== Definite Integrals =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>MivL_1A7Lxw}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>psKT74jZafs}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +<WRAP group>
 +<WRAP>
 +//Section 4.2 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * Definite integrals calculate the area under a function over an interval.\\ 
 +  * Riemann Sums.\\ 
 +  * Properties of definite integrals.
 +</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/4.2_definite_integrals.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Fundamental Theorem of Calculus =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>JOCPlSK5HM0?list=PLeT8NSIxdCnEQCRpvm1L0Xc6xdmpqzrsx}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>p24xTtuVe0s?list=PLeT8NSIxdCnEQCRpvm1L0Xc6xdmpqzrsx}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +<WRAP group>
 +<WRAP>
 +//Section 4.3 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/4.3_fundamental_theorem.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 + 
 +<WRAP box 750px>
 +<WRAP centeralign>===== Indefinite Integrals =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>z9nW0k5IQZo}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 4.4 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * An indefinite integral of a function is its general antiderivative. \\ 
 +  * The definite integral of a rate of change is the net change.
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/4.4_indefinite_integrals.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Integration with Substitution =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 +{{youtube>4sCmHfBNpwM}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 4.5 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * Substitution is the rule for integration which corresponds to the chain rule for differentiation.\\ 
 +  * Introduction to integrating with substitution.
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/4.5_substitution.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
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