Further Mathematics

Debbie Cornelius
Debbie Cornelius

WHAT IS FURTHER MATHEMATICS?

Further Mathematics extends the areas of Pure Mathematics, Decision Mathematics and Statistics taught in the main Mathematics course, and also includes the area of Mechanics.

WHY STUDY THIS COURSE?

Employers in all sectors highly value a candidate who can offer mathematical ability. An A-level in Further Mathematics shows an excellent logical mind, reasoning ability and competence in all things numerate. This course must be taken in combination with A-level Mathematics, but if you loved Mathematics at High School, enjoy working hard and like to solve puzzles that have exact methods and answers then A-level Mathematics and Further Mathematics offers the opportunity to continue improving your numerical skills and learn a great deal beyond your GCSE course.

WHAT CAN YOU EXPECT FROM FURTHER MATHEMATICS?

Further Mathematics will challenge you beyond your A-level Mathematics course and refine the skills you have already mastered; you will learn to apply these skills more effectively to problem solving of a higher degree.

HOW IS THE COURSE ASSESSED?

The Further Mathematics course is assessed through examinations at the end of the first and second year.

WHO IS THE COURSE SUITABLE FOR?

If you enjoy learning about mathematical concepts and new methods of problem solving then Further Mathematics may be the subject for you!

WHAT CAN I DO WITH AN A-LEVEL IN FURTHER MATHEMATICS?

Further Mathematics A-level supports many career pathways – from careers in Mathematics, Physics, Engineering, data analysis, computer programming and business to name but a few. It is highly regarded by employers and shows a fantastic level of Mathematical ability.

WHAT WILL I STUDY?

In Year 1, you will be taught modules Further Pure 1, Mechanics 1 and Decision 2. These build upon knowledge learnt on the AS Maths course and your GCSE course and further extends your algebra skills. The pure maths topics covered include matrices, conics, series expansions, and finding roots of polynomials; mechanics covers equations of motion, forces, vectors and projectiles and Decision covers topics such as the Simplex algorithm and Game Theory. All have a high algebra content and offer a great challenge to those who excel at Maths.

In Year 2, students will study modules Further Pure 2, Mechanics 2 and Statistics 2 (having studied Statistics 1 in their Maths A level course). Further Pure covers topics such as mathematical proof by induction, hyperbolic functions and further work with complex numbers. Mechanics 2 builds on work studied in year 1 and extends knowledge to cover energy, circular motion and moments. Statistics 2 topics include the Poisson distribution, hypothesis testing and contingency tables.

ADDITIONAL ACTIVITIES WITHIN THIS SUBJECT

The UK Senior Maths Challenge is entered every year by a number of our Maths students, and a team represents the North West at a local competition. The Southampton Cipher challenge is also encouraged, and trips to visit universities and other career related fields are also taken. The CREST programme is on offer to those students who are part of the Science and Maths Honours Programme.

Entry Requirements

  • 5 GCSE grades at A* - C, or 4 – 9, across four separate subjects, to include GCSE Mathematics and/or English/English Language.
  • In addition, a grade A, or 7, or above is required in GCSE Mathematics. If both GCSE Methods in Mathematics and Applications of Mathematics have been taken, a grade A or above is required in both.