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Sixth Form

Further Mathematics 

The Nature of the Course

For those with a particular talent and enthusiasm for Mathematics it is possible to take AS or A Level Further Mathematics in addition to A Level Mathematics. For Further Mathematics A Level, the Pure Mathematics topics studied will include:

• Proof
• Complex numbers
• Matrices
• Further algebra and functions, calculus and vectors
• Polar coordinates
• Hyperbolic functions
• Differential equations

There are also likely to be 2 additional units studied, to be chosen from:

• Further Pure;
• Mechanics;
• Statistics; and
• Discrete or Decision Mathematics

It is likely that students will take either 3 or 4 written papers at the end of the course.

Skills Demanded and Developed

Further Mathematics is a demanding A Level but those who find mathematics exciting and enjoyable, and who have shown a talent for the subject, should consider it. To succeed at this level you really need to enjoy a challenge. We suggest that anyone considering this should discuss their suitability for this course with their Mathematics teacher. You will spend approximately half your time on Mathematics and should be prepared to persevere with some quite difficult but interesting and rewarding ideas.

Mathematics and Further Mathematics are often combined with Physics or Chemistry, but students have successfully taken ‘Double Maths’ with a variety of other A Level subjects such as English, Modern Languages, Art, Music, Economics, Geography, History and Classics.

Careers and Higher Education Implications

A ‘Double Maths’ course is the ideal preparation for higher education courses in Mathematics, Physics and Engineering.


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