A-Level Further maths (Unreformed), Year 13 only

The Further Mathematics A Level offers students an opportunity to explore complex and subtle concepts that reveal the beauty at the heart of the mathematical universe.  You will learn how to use powerful techniques crucial to other subjects - such as Physics, Engineering or Computer Science – but that are also fascinating and remarkable in their own right. 

“Let us grant that the pursuit of mathematics is a divine madness of the human spirit, a refuge from the goading urgency of contingent happenings.”  Alfred North Whitehead

Entry requirements

As well as the general entry requirements
to Sixth Form, students will need at least
an 8 grade in their GCSE, and preferably
have studied the AQA Level 2 Further Maths Certificate. Students are also expected to study Mathematics A Level alongside this qualification.

Course description

Further Pure 2 and 3 extend the work from Year 12, introducing powerful new analytical techniques such as De Moirve’s Theorem, MacLaurin and Taylor Series, and Second Differential Equations. Also, entirely new concepts are introduced such as Polar Co-ordinates and Eigen Vectors. All these reveal the intricate links between the different areas of Mathematics and challenge the students’ understanding up to university level. Mechanics 2 uses these skills to improve on approximations made to mechanical models and analyse entirely new scenarios, introducing concepts such as Work and Power, and Newton’s Law of Restitution.

Ways to help my child succeed

Regular and focused practice is the key to success in the Further Mathematics A Level.  Parents or carers should ask to see assessments and exercises done as homework and make sure the work is clear and neat.  Ask the student to explain what they are doing in each step, as teaching others is a powerful method of learning.

As the course is delivered as separate modules, it is vital that students keep their notes organised and accessible.  They should have individual folders for each module, sorted into chapters.  Notes and assessment should be filed in the correct place, along with any revision material the student has sourced themselves.  Even in the unlikely scenario that a student has no specific homework to complete, they could benefit greatly from making sure their notes are in order and reviewing previous chapters.

Useful websites

  • www.mymaths.co.uk has an excellent series of lessons and online assessments on the A Level topics.
  • www.mathsnetalevel.com breaks down each module into topics then offers tutorial videos, exam questions, marked answers, and timed assessments.
  • www.khanacademy.com a huge series of interconnected video tutorials from primary school maths right through to degree level.
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