STEP Preparation

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STEP Prep Module 5

Working through this module will help you to consolidate your existing knowledge before extending your thinking. For more details about the STEP prep 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.
Chain Rule link

Chain Rule 

Stage: 5

Read a derivation of the chain rule for differentiation, and then use our Mathmo app to practise.

The Product Rule link

The Product Rule 

Stage: 5

Read a derivation of the Product Rule for differentiation, and then use our Mathmo app to practise.

Integration and Differentiation Practice Questions link

Integration and Differentiation Practice Questions 

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

Curved Square link

Curved Square 

Stage: 5 Challenge Level: Challenge Level:1

Can you find the area of the central part of this shape? Can you do it in more than one way?

Towards Maclaurin link

Towards Maclaurin 

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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.

Citi Foundation logoWe are grateful to the Citi Foundation for their generous support for the development of this STEP preparation programme.