Further Mathematics

Nicola Smith
Nicola Smith

WHAT IS FURTHER MATHEMATICS?

Further mathematics both broadens and deepens the material covered in A level mathematics. It allows you to study a wider variety of mathematics beyond the A level mathematics syllabus, including mathematics with real life applications in the growing world of artificial intelligence and logistics.

WHY STUDY THIS COURSE?

An A level in further mathematics shows an excellent logical mind, reasoning ability and competence in all things numerate. This subject 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 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 and refine the skills you have already mastered in mathematics; you will learn to apply these skills more effectively to problem solving of a higher degree. You will develop an understanding of how to use models in mathematics. For someone who enjoys mathematics, it provides a challenge and a chance to explore new and/or more sophisticated mathematical concepts.

HOW IS THE COURSE ASSESSED?

Further mathematics is assessed through four examinations at the end of your second year. Two of the exams are in core pure mathematics, one in mechanics and one in decision mathematics.

WHO IS THE COURSE SUITABLE FOR?

If you enjoy learning about mathematical concepts and new methods of problem solving, are doing well in mathematics at school and are enjoying the challenge of ensuring you get the best grades, then this 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 studies to name but a few. It is highly regarded by employers and universities, it shows a fantastic level of mathematical ability, problem-solving skills and logical thought process. All these lead to you developing your analytical skills, required for most careers.

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 GCSEs at grades 4 – 9, across four separate subjects, to include GCSE Mathematics and/or English/English Language.
  • In addition, a grade 7 or above is required in GCSE Mathematics.