SUBJECT

Further Mathematics

What are lessons like in this subject?

Further maths is the ideal subject for students with a flair for maths and an interest in maths-related degrees and careers. It is studied as a fourth subject, alongside A level maths, and adds further depth to topics studied in A level maths (such as vectors and mechanics) and introduces degree level topics (such as matrices and complex numbers). Time in lessons is devoted to doing as much mathematics as possible – individually, in small groups, or in whole-class discussion, with students being invited to contribute their solutions or lead examples on the board. The use of a graphical calculator is essential for further mathematics and so this is explicitly taught in lessons. Further mathematicians often lead our entries to the UKMT individual and team challenges, and support is provided for those wishing to apply to top-tier universities through mock interviews and assistance with preparing for the STEP, MAT, and TMUA.

What will I study?

The course will include:Ìý
  • Proof.Ìý
  • Complex numbers.Ìý
  • Matrices.Ìý
  • Further algebra and functions.Ìý
  • Further calculus.Ìý
  • Further vectors.Ìý
  • Polar coordinates.Ìý
  • Hyperbolic functions.Ìý
  • Differential equations.Ìý
  • Further numerical methodsÌý
  • Further mechanics (including energy, circularÌýmotion, momentum, and centres of mass).
  • Further statistics (including random variables,Ìýfurther hypothesis testing, and confidence intervals).Ìý

What our
students

say

Further Maths is an incredibly rewarding and fascinating course, which has massively improved my problem solving, logical, and overall mathematical skills. Out of all the courses I do, Further Maths is definitely the most diverse and insightful.

Abby-Antonio Purcherea, Astrea Academy Woodfields


Further Mathematics

Please note: Subject videos have been filmed from colleges across our Trust.

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