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There are **27** NRICH Mathematical resources connected to **Calculus generally**, you may find related items under Calculus.

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### Interactive Workout - Mathmo

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!

Age 16 to 18

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### Population Dynamics Collection

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

Age 16 to 18

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### Population Dynamics - Part 1

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

Age 16 to 18

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### A Different Differential Equation

Explore the properties of this different sort of differential equation.

Age 16 to 18

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### Population Ecology Using Probability

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

Age 16 to 18

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### Population Dynamics - Part 5

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

Age 16 to 18

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### Population Dynamics - Part 6

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

Age 16 to 18

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### Branching Processes and Extinction

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

Age 16 to 18

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### Population Dynamics - Part 4

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

Age 16 to 18

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### Patterns of Inflection

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

Age 16 to 18

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### Population Dynamics - Part 2

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

Age 16 to 18

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### Calculus Analogies

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

Age 16 to 18

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### Curve Hunter

This problem challenges you to sketch curves with different properties.

Age 14 to 18

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### Turning to Calculus

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

Age 16 to 18

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### Population Dynamics - Part 3

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

Age 16 to 18

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### Maths Shop Window

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

Age 16 to 18

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### Erratic Quadratic

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

Age 16 to 18

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### Scientific Curves

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

Age 16 to 18

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### Calculus Countdown

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

Age 16 to 18

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### Operating Machines

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

Age 16 to 18

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### Implicitly

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

Age 16 to 18

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### Fractional Calculus III

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

Age 16 to 18

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### Fractional Calculus II

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.

Age 16 to 18

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### Fractional Calculus I

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.

Age 16 to 18

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### Power Up

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

Age 16 to 18

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### 2D-3D

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 equal volume with the centre of each sphere on the surface of the other. What is the volume of intersection?

Age 16 to 18

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