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Calculus: Math Over Time

How do you describe something that keeps changing?

Follow speed, growth and filling-up from a single moment to the whole story.

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  1. STARTRates of Change(not started)

    Rates of Change

    Find which two hours of a morning warmed fastest from a thermometer's readings

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  2. Limits and Approaching(not started)

    Limits and Approaching

    Make a table of a dropped ball's average speed from 1 second to 1.1 then 1.01 then 1.001 seconds

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  3. Derivatives as Instant Rates(not started)

    Derivatives as Instant Rates

    You compare shrinking time stretches on a motion graph.

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  4. Integrals as Accumulation(not started)

    Integrals as Accumulation

    Estimate the litres a changing tap flow adds in two minutes

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  5. The Fundamental Theorem of Calculus(not started)

    The Fundamental Theorem of Calculus

    You compare a changing flow with its running total.

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  6. Differential Equations(not started)

    Differential Equations

    Build a growth curve from a rate rule and a starting amount

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  7. Chaos, Turbulence, and Dynamical Systems(not started)

    Chaos, Turbulence, and Dynamical Systems

    Pose a fluid-flow conjecture and identify what would count as evidence

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