- Proof.
- Complex numbers.
- Matrices.
- Further algebra and functions.
- Further calculus.
- Further vectors.
- Polar coordinates.
- Hyperbolic functions.
- Differential equations.
- Further numerical methods.
- Further mechanics (including energy, circular motion, momentum, and centres of mass).
- Further statistics (including random variables, further hypothesis testing, and confidence intervals).
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:
What our
students
Studying Further Maths has strengthened my understanding of key mathematical concepts and furthered my logical thinking and problem solving skills. The skills we learn are also applicable to various other subjects so there’s the opportunity to improve in lots of different areas.
Rohaan Aamir, Beckfoot Thornton
Further Mathematics
Please note: Subject videos have been filmed from colleges across our Trust.
