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Resources tagged with Calculus generally similar to Calculus Analogies:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Pre-Calculus and Calculus > Calculus generally

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Calculus Analogies

Stage: 5 Challenge Level: Challenge Level:1

Consider these analogies for helping to understand key concepts in calculus.

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Patterns of Inflection

Stage: 5 Challenge Level: Challenge Level:1

Find the relationship between the locations of points of inflection, maxima and minima of functions.

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Fractional Calculus II

Stage: 5

Here explore some ideas of how the definitions and methods of calculus change if you integrate or differentiate n times when n is not a whole number.

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Weekly Challenge 45: Integral Arranging

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

How would you sort out these integrals?

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Turning to Calculus

Stage: 5 Challenge Level: Challenge Level:1

Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

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Fractional Calculus I

Stage: 5

You can differentiate and integrate n times but what if n is not a whole number? This generalisation of calculus was introduced and discussed on askNRICH by some school students.

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Maths Shop Window

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Make a functional window display which will both satisfy the manager and make sense to the shoppers

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Scientific Curves

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you sketch these difficult curves, which have uses in mathematical modelling?

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Curvy Catalogue

Stage: 5 Challenge Level: Challenge Level:1

Make a catalogue of curves with various properties.

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A Different Differential Equation

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore the properties of this different sort of differential equation.

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Fractional Calculus III

Stage: 5

Fractional calculus is a generalisation of ordinary calculus where you can differentiate n times when n is not a whole number.

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Population Dynamics - Part 1

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

First in our series of problems on population dynamics for advanced students.

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Branching Processes and Extinction

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.

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Population Dynamics - Part 2

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Second in our series of problems on population dynamics for advanced students.

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Population Dynamics - Part 3

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Third in our series of problems on population dynamics for advanced students.

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Population Dynamics - Part 4

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Fourth in our series of problems on population dynamics for advanced students.

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2D-3D

Stage: 5 Challenge Level: Challenge Level:1

Two circles of equal size intersect and the centre of each circle is on the circumference of the other. What is the area of the intersection? Now imagine that the diagram represents two spheres of. . . .

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Calculus Countdown

Stage: 5 Challenge Level: Challenge Level:1

Can you hit the target functions using a set of input functions and a little calculus and algebra?

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Population Ecology Using Probability

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.

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Population Dynamics - Part 6

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Sixth in our series of problems on population dynamics for advanced students.

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Population Dynamics - Part 5

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Fifth in our series of problems on population dynamics for advanced students.

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Population Dynamics Collection

Stage: 5 Challenge Level: Challenge Level:1

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

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Implicitly

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find the maximum value of the curve defined by this expression?

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Interactive Workout - Further

Stage: 5 Challenge Level: Challenge Level:1

Give your further pure mathematics skills a workout with this interactive and reusable set of activities.

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Erratic Quadratic

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find a quadratic equation which passes close to these points?

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Interactive Workout - Mathmo

Stage: 5 Short Challenge Level: Challenge Level:1

Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!

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Power Up

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Show without recourse to any calculating aid that 7^{1/2} + 7^{1/3} + 7^{1/4} < 7 and 4^{1/2} + 4^{1/3} + 4^{1/4} > 4 . Sketch the graph of f(x) = x^{1/2} + x^{1/3} + x^{1/4} -x

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Operating Machines

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?