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--- calculus:resources:calculus_videos:chapter2 [2015/08/28 22:33]
127.0.0.1 external edit
+++ calculus:resources:calculus_videos:chapter2 [2015/11/21 16:35] (current)
kaz
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+~~META:title=Chapter 2~~
+~~NOTOC~~
+<html>
+<style>
+#header {
+    background-color:#006f3f;
+    height: 55px;
+    font-size: 21px;
+    font-weight: bold;
+    text-align: center;
+    color: rgb(256,256,256)
+}
+#menu {
+    height: 35px;
+    font-size: 15px;
+    font-family: Tahoma, Geneva, sans-serif;
+    font-weight: bold;
+    text-align: center;
+    text-shadow: 3px 2px 3px #333333;
+    background-color: rgb(102,156,156);
+}
+#menu ul {
+    height: auto;
+    padding: 8px 0px;
+    margin: 0px;
+}
+#menu li {
+display: inline;
+padding: 16px;
+}
+#menu a {
+    text-decoration: none;
+    color: rgb(256,256,256);
+    padding: 8px 8px 8px 8px;
+}
+#menu a:hover {
+    color: #006f3f;
+    background-color: #FFF;
+}
+</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;
+}
+#footer h1 {
+    font-size: 14px;
+    font-weight: bold;
+    text-align: center;
+    color: rgb(256,256,256);
+}
+</style>
+<div id="footer"></div>
+</html>

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