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<h1 style=“margin-top:1; margin-bottom:1;”>Flipped Calculus 1 at Binghamton</h1>

<ul> <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> </ul>

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===== Definite Integrals =====

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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.

Classroom Slides PDF

Classroom Slides TEX


===== The Fundamental Theorem of Calculus =====
Section 4.3 in Stewart's Calculus.

Classroom Slides PDF

Classroom Slides TEX


===== Indefinite Integrals =====

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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.

Classroom Slides PDF

Classroom Slides TEX


===== Integration with Substitution =====

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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.

Classroom Slides PDF

Classroom Slides TEX


===== Area =====

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Section 5.1 in Stewart's Calculus.

Preclass Learning Objectives:

  • Total area between functions f and g is calculated by integrating the absolute value of the difference of f and g.

Classroom Slides PDF

Classroom Slides TEX


===== Volume =====

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Section 5.2/5.3 in Stewart's Calculus.

Preclass Learning Objectives:

  • Formula for calculating volume using cylindrical shells.
  • Differences between the washer and shell methods.

Classroom Slides PDF

Classroom Slides TEX


===== The Average Value of a Function =====

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Section 5.5 in Stewart's Calculus.

Preclass Learning Objectives:

  • Average Value Formula.

Classroom Slides PDF

Classroom Slides TEX


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<h1>Laura Anderson and Joseph Brennan</h1>

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