Calculus Option

To see additional worked solutions to problems, visit Just Math Tutoring and click on the appropriate link.

Limits (Option Text ExB.1-2)

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The Squeeze Theorem  (Option Text ExB.3)

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Continuity  (Option Text ExC.1)

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Intermediate Value Theorem (IVT)  (Option Text ExC.2)

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Differentiable Functions   (Option Text ExD)

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L’Hopital’s Rule (Option Text ExE)

Part I

Part II

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Rolle’s Theorem and Mean Value Theorem  (Option Text ExF)

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Riemann Sums  (Option Text ExG.1)

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Definite Integrals  (Option Text ExG.2)

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The Fundamental Theorem of Calculus  (Option Text ExH)

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Improper Integrals  (Option Text ExI)

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Approximation to the Improper Integral (Option Text ExI.2)

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Infinite Sequences  (Option Text ExJ.1)

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Monotonic Sequences  (Option Text ExJ.2)

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Infinite Series Tests Part I  (Option Text ExK.1)

Comparison Test

Limit Comparison Test

Integral Comparison Test

p-test

The P-Series Theorem from the Wolfram Demonstrations Project by Patrick W. McCarthy

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Partial Sum Error  (Option Text ExK.2)

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Infinite Series Tests Part II  (Option Text ExK.3)

Alternating Series Test and Absolute and Conditional Convergence

The Ratio Test

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Power Series(Option Text ExK.4)

Differentiation and Integration of Power Series

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Taylor and Maclaurin Series (Option Text ExL.1-4)

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Taylor and Maclaurin Series Expansion of f(x)

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Differential Equations  (Option Text ExM)

Visualizing Slope Fields and Euler’s Method

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Separable Diff Equations (Option Text ExN) and Integrating Factor Method  (Option Text ExO)

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Taylor and Maclaurin Series from DiffEq  (Option Text ExP)

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AP Cal BC Students:  Telescoping Series and Partial Fractions Tests

Telescoping Series and Partial Fractions

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