Limits: Flipped Calculus at Binghamton SUNY [Department of Mathematics and Statistics, Binghamton University]

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<h1 style="margin-top:1; margin-bottom:1;">Flipped Calculus 1 at Binghamton</h1></div>
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<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_flipped_resources">Home</a></li>
<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_flipped_resources/limits">Limits</a></li>
<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_flipped_resources/derivatives">Derivatives</a></li>
<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_flipped_resources/applications">Applications</a></li>
<li><a href="http://www2.math.binghamton.edu/p/calculus/resources/calculus_flipped_resources/integrals">Integrals</a></li>
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<WRAP centeralign>===== The Limit of a Function =====</WRAP>

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//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.
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 [[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/1.5_limit.pdf|Classroom Slides PDF]]
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[[https://www2.math.binghamton.edu/p/calculus/resources/calculus_flipped_resources/limits/1.5_limit_tex|Classroom Slides TEX]]
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<WRAP centeralign>===== Tangents, Derivatives, and Rates of Change =====</WRAP>
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//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.
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[[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]]
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[[https://www2.math.binghamton.edu/p/calculus/resources/calculus_flipped_resources/limits/1.4-2.1_rates_of_change_tex|Classroom Slides TEX]]
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<WRAP centeralign>===== Limit Laws =====</WRAP>
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//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.
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[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/1.6_limit_laws.pdf|Classroom Slides PDF]]
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<WRAP centeralign>===== Continuity =====</WRAP>
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//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).
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[[http://www2.math.binghamton.edu/lib/exe/fetch.php/calculus/resources/calculus_flipped_resources/1.8_continuity.pdf|Classroom Slides PDF]]\\ \\ 
[[https://www2.math.binghamton.edu/p/calculus/resources/calculus_flipped_resources/limits/1.8_continuity_tex|Classroom Slides TEX]]
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<div id="footer"><h1>Laura Anderson and Joseph Brennan</h1> </div>
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