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calculus:resources:calculus_videos:chapter1 [2015/09/11 23:44] – kazcalculus:resources:calculus_videos:chapter1 [2015/09/11 23:56] (current) – kaz
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 +<div id="header">
 +<h1 style="margin-top:1; margin-bottom:1;">Calculus Chapter 1</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/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/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 Limit of a Function =====</WRAP>
 +
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>fjlbU9mra_U}}
 +</WRAP>
 +<WRAP>
 +<WRAP>
 +//Section 1.5 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__ \\ 
 +  * The limit at an x-value describes the y-value the function "approaches" at that x-value.\\ 
 +  * Graphical intuition for limits.\\ 
 +  * Two-sided limits depend on both one-sided limits.
 +</WRAP>
 +<WRAP centeralign>
 + [[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/1.5_limit.pdf|Classroom Slides PDF]]
 +</WRAP>
 +<WRAP clear></WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Tangents, Derivatives, and Rates of Change =====</WRAP>
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>HjSECxqdXT4}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>9_3l1bqV4Ak}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP group>
 +<WRAP>
 +//Section 1.4/2.1 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * A rate of change describes how one quantity changes in relation to another quantity.\\ 
 +  * Rate of change can result from averaging over an interval or finding a limit of averages approaching a single point.\\ 
 +  * Tangent lines result from the limit of secant lines.\\ 
 +  * A derivative is an instantaneous rate of change.
 +</WRAP>
 +</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/1.4-2.1_rates_of_change.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Limit Laws =====</WRAP>
 +
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>FAdgCfivypk}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>87ybp3SgFNw}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP group>
 +<WRAP>
 +//Section 1.6 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * Algebraic limit laws.\\ 
 +  * When direct substitution isn't allowable in calculating a limit try simplification, conjugation, or squeezing the function.
 +</WRAP>
 +<WRAP group>
 +<WRAP half column centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/1.6_limit_laws.pdf|Classroom Slides PDF]]
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
 +
 +<WRAP box 750px>
 +<WRAP centeralign>===== Continuity =====</WRAP>
 +
 +<WRAP group>
 +<WRAP half column>
 + {{youtube>HZKctkXi4Lw}}
 +</WRAP>
 +<WRAP half column>
 +{{youtube>sb13L83w0n0}}
 +</WRAP>
 +</WRAP>
 +\\ 
 +
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 +{{youtube>75Q69ZyOz5c}}
 +</WRAP>
 +<WRAP half column>
 +<WRAP>
 +//Section 1.8 in Stewart's Calculus.//\\ \\ __**Preclass Learning Objectives:**__\\ 
 +  * Graphical intuition of continuity.\\ 
 +  * Where limits align with actual values, a function is continuous.\\ 
 +  * Types of discontinuities.\\ 
 +  * Algebraic limit laws.\\ 
 +  * Continuous functions cannot jump (Intermediate Value Theorem).
 +</WRAP>
 +<WRAP clear></WRAP>
 +<WRAP centeralign>
 +[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/1.8_continuity.pdf|Classroom Slides PDF]]\\ \\
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +</WRAP>
 +\\ 
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