Maclaurin series

There are 6 NRICH Mathematical resources connected to Maclaurin series

problem

Favourite

Taking trigonometry series-ly

Age

16 to 18

Challenge level

Look at the advanced way of viewing sin and cos through their power series.

problem

Trig reps

Age

16 to 18

Challenge level

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

problem

Towards Maclaurin

Age

16 to 18

Challenge level

Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

problem

What do functions do for tiny x?

Age

16 to 18

Challenge level

Looking at small values of functions. Motivating the existence of the Taylor expansion.

problem

Building approximations for sin(x)

Age

16 to 18

Challenge level

Build up the concept of the Taylor series

problem

Bessel's equation

Age

16 to 18

Challenge level

Get further into power series using the fascinating Bessel's equation.

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For younger learners

Maclaurin series

Taking trigonometry series-ly

Trig reps

Towards Maclaurin

What do functions do for tiny x?

Building approximations for sin(x)

Bessel's equation