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NRICH topics: Calculus Maclaurin series

Resources tagged with: Maclaurin series

Content type:
Age range:
Challenge level:

There are 6 NRICH Mathematical resources connected to Maclaurin series, you may find related items under Calculus.

Broad Topics > Calculus > Maclaurin series

Problem Primary curriculum Secondary curriculum

Taking Trigonometry Series-ly

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

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Trig Reps

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

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Bessel's Equation

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

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Building Approximations for Sin(x)

Build up the concept of the Taylor series

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

What Do Functions Do for Tiny X?

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

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Towards Maclaurin

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.

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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