Advanced Problem Solving Module 5

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.
Try this selection of differentiation and integration questions to practise choosing an appropriate technique.

Curved Square 

Age 16 to 18
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
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.