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.
Read a derivation of the chain rule for differentiation, and then use our Mathmo app to practise.
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.
Can you find the area of the central part of this shape? Can you do it in more than one way?
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.