Further Mathematics

Course Description

Do you enjoy tackling complex mathematical problems and pushing your understanding beyond GCSE and A Level Maths? A Level Further Mathematics gives you the opportunity to explore advanced mathematical concepts and develop the skills used by mathematicians, scientists and engineers.


Throughout the course, you'll build on the knowledge gained in A Level Mathematics while studying topics such as pure mathematics, further algebra, matrices, complex numbers and advanced calculus. You'll also explore areas such as statistics and mechanics, developing logical thinking and problem-solving skills that can be applied to a wide range of real-world situations.


A Level Further Mathematics is an excellent choice for students who have a strong passion for mathematics and enjoy challenging themselves. It combines particularly well with subjects such as Physics, Computer Science, Chemistry and Economics and is highly valued by universities.


Ideal for students who are:

  • Highly enthusiastic about mathematics
  • Keen to explore mathematical concepts in greater depth
  • Enjoy solving challenging problems and puzzles
  • Considering degrees or careers in STEM, finance or data-related fields

 

Pure Core: Complex numbers, Matrices, Vectors, Hyperbolic Functions, Advanced Algebra, Advanced Calculus and Advanced Trigonometry.

Further Statistics: Various statistical distributions, including Poisson, Geometric and Negative Binomial, Hypothesis testing and the quality of these tests, Chis squared testing, and probability generating functions.

Further Decision: Linear Programming Problems, algorithms on graphs (Dijkstra’s, Floyds Prims and Kruskals), Route Inspection, travelling salesman, Ctitical path analysis and scheduling problems.

What you'll gain:

  • Advanced mathematical knowledge and techniques
  • Exceptional problem-solving and analytical skills
  • Greater confidence in tackling complex challenges
  • Excellent preparation for university courses with a strong mathematical focus

 

Many university courses and careers require a higher level of mathematical skills, particularly Engineering, Computer Science, Physics and Architecture. Other degrees such as Geography, Psychology and Biology use a lot statistics within them so studying A-level mathematics may be beneficial.

Examination: 4 x 1.5 hour exams at the end of the 2 years

UKMT (Senior Maths challenge)

Preparation for University entrance examinations and STEP

Guest Speakers from local universities

In college activities presented by the Advanced Maths Support Programme

Visits to local universities

Links between maths and careers

Further Maths Alumni

Lucas Calvert

A*A*A*AA

Mathematics, 3D Design, EPQ, Further Mathematics, Physics

Civil Engineering at Imperial College London

Dawn Supatan

A*A*AAA

Biology, EPQ, Further Mathematics, Mathematics, Chemistry

Medicine and Surgery at Newcastle University

Odi Oriakhi

A*A*AA

Chemistry, Mathematics, Further Mathematics, Physics

Materials Science at the University of Oxford

Lucas Calvert

A*A*A*AA

Mathematics, 3D Design, EPQ, Further Mathematics, Physics

Civil Engineering at Imperial College London

Dawn Supatan

A*A*AAA

Biology, EPQ, Further Mathematics, Mathematics, Chemistry

Medicine and Surgery at Newcastle University

Odi Oriakhi

A*A*AA

Chemistry, Mathematics, Further Mathematics, Physics

Materials Science at the University of Oxford