Advanced Problem Solving Module 5
Working through this module will help you to consolidate your existing knowledge before extending your thinking. For more details about the Advanced Problem Solving programme, READ THIS.
In this second calculus module, we share some of the theory behind certain calculus techniques and offer you the opportunity to practise some of the calculus skills you will need to be successful in STEP and other advanced mathematics examinations.
Chain Rule Age 16 to 18
Read a derivation of the chain rule for differentiation, and then use our Mathmo app to practise.
The Product Rule Age 16 to 18
Read a derivation of the Product Rule for differentiation, and then use our Mathmo app to practise.
Integration and Differentiation Practice Questions Age 16 to 18
Challenge Level
Challenge Level
Try this selection of differentiation and integration questions to practise choosing an appropriate technique.
Curved Square Age 16 to 18
Challenge Level
Challenge Level
Can you find the area of the central part of this shape? Can you do it in more than one way?
Towards Maclaurin Age 16 to 18
Challenge Level
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.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.