A-LEVEL FURTHER MATHS

Mathematics involves the evolution of theory to devise techniques to solve numerical problems. The subject is correctly seen as subtle, challenging and rewarding. At A-Level, you will sit papers in both Pure and Applied Mathematics. Two-thirds of the course is pure, exploring many of the topics studied at GCSE including algebra, geometry and trigonometry, as well as powerful new analytical tools such as calculus. The remainder of the course is split between Mechanics and Statistics.
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WHAT IS A-LEVEL FURTHER MATHS?

Mechanics consists of topics perhaps previously associated more with Physics than with Mathematics. Students learn about forces, motion, and static equilibrium. You will learn to model the path of a projectile, why some ladders are safer than others and why trebuchets are so much more effective than ballistae.

Statistics is a study of the collection, organisation, presentation, and analysis of data from real life problems. The aim is to model for future outcomes and test hypotheses using probability theory, a tool essential to evidence-based research with applications ranging from predicting the weather to analysing the effectiveness of new medication.

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WHAT YOU'LL DO

Students on the Maths and Further Maths course complete the Maths A-Level in the first year, equivalent to the work done by students on a Maths course in two years.


In the second year, students complete their Further Maths A-Level. Half of the course develops the Pure Mathematics studied in the first year, exploring such mysterious and powerful objects as matrices, polar coordinates, and imaginary numbers. For the Applied half, students will pursue further work in both Mechanics and Statistics, building on the material studied in the first year and taking a big step closer towards acquiring the skills required to solve such problems at undergraduate level.

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WHOM DOES THIS SUBJECT SUIT?

Mathematics is a useful subject in supporting studies in the Sciences, Social Sciences, Geography, and Computing. Indeed, it can also be studied for its own sake. It is fun to master sophisticated techniques and the skills acquired in logical thinking can be applied across a broad selection of academic disciplines. If you enjoy problem-solving, have strong algebraic skills and at least a grade 8 in GCSE Mathematics (or an overseas equivalent) then A-Level Maths and Further Maths could be for you.

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WHAT MIGHT THE SUBJECT LEAD TO?

Both universities and employers hold an A-Level qualification in Mathematics in high regard. With the appropriate combination of other A-Levels, Mathematics can lead to a wide variety of options when choosing higher education courses. Typical examples include Medicine, Engineering, Law, Business, Social and Political sciences, Natural sciences, and of course Mathematics itself. Similarly, the employment opportunities are equally diverse.


Further Mathematics is strongly recommended for those students who aspire to apply to high-ranking universities for such subjects as Engineering, Economics, or Mathematics.

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YOUR TEACHERS

Who teaches Further Maths?

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Nick Haines
Vice Principal (Head of Years 7-11)

Nick read for a Masters in Mathematics and Philosophy at Christ Church, Oxford, specialising in Ethics, Topology and Set Theory, before training as a teacher.

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Nick Haines

Nick read for a Masters in Mathematics and Philosophy at Christ Church, Oxford, specialising in Ethics, Topology and Set Theory, before training as a teacher. He joined d’Overbroeck’s in 2010, teaching Mathematics to Years 7-13, before becoming Head of Years 7-11. He enjoys any area of Maths involving proof, and can usually be tempted to discuss Philosophy whenever circumstances allow. He is a keen runner and reluctant cyclist.

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Nita Goriely
Head of d'Overbroeck's Plus and Oxbridge programme, Teacher of Mathematics

Nita received an AB, 2 MS degrees and a PhD from various universities in the USA, each in some form of mathematics.

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Nita Goriely

Nita received an AB, 2 MS degrees and a PhD from various universities in the USA, each in some form of mathematics. For (m>>n) years, she combined teaching undergraduate courses with research in applied mathematics and mathematical physiology. She has ((n-1)^(n-1)) diplomas in mathematics, wrote (n) theses, (n! + 1) peer-reviewed papers and has an Erdos number of (n+1). She relocated to the UK in (670n-1) and has been working at d’Overbroeck’s since (670n) where she is Director of Studies, maths teacher, Head of the d’Overbroeck’s Plus and Oxbridge Programmes, and co-runs the maths Plus group. Over the last few years, she has worked alongside Simon to develop the school’s academic enrichment programme to help spread the message that thinking critically and developing intellectual curiosity are both interesting and fun.

Nita particularly enjoys long walks off the grid with her family; her greatest joy is in raising and spending time with her (n) children all of whose names begin with the (n^n – 1)th letter of the alphabet.

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Leon O’Rourke
Teacher of Mathematics, Basketball coach and Staff Coordinator to the Student Representative Council

Born in Glasgow, Scotland, Leon graduated from the University of St Andrews with a degree in Mathematics.

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Leon O’Rourke

Born in Glasgow, Scotland, Leon graduated from the University of St Andrews with a degree in Mathematics. At the end of his studies, he was elected as Director of Events and Services at the Students’ Association, serving a sabbatical year before going into brief stints in Finance and Sales. However, after finding that neither of these vocations suited him, he turned to teaching and found a career he was truly passionate about. Leon has taught at d’Overbroeck’s since 2017, teaching across our sites as well as coaching our school’s under 19s basketball team. Over that time he has become a Director of Studies and taken over as Staff Coordinator to the Student Representative Council.

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Michael Vanden Boom
Head of Sixth Form Mathematics

Michael studied Maths and Computer Science at university, including a DPhil from Oxford in 2012.

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Michael Vanden Boom

Michael studied Maths and Computer Science at university, including a DPhil from Oxford in 2012. He grew up near Chicago in the US but has lived in the UK long enough now to say ‘maths’ instead of ‘math’. Michael joined d’Overbroeck’s in 2017, and thoroughly enjoys serving as a Director of Studies and teaching Maths and Further Maths to the diverse group of budding mathematicians in the Sixth Form. He is always keen to share his enthusiasm for proofs and patterns with his students—did you know that every prime number greater than 3 is either one more or one less than a multiple of 6 (and can you prove it?!)

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Ian Watkins
Teacher of Mathematics and Physics, Second in Sixth Form Maths

Ian graduated from Cambridge University with a degree in Mathematics in 2009.

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Ian Watkins

Ian graduated from Cambridge University with a degree in Mathematics in 2009. A four year career in the gas and power industry followed before he moved to Cape Town, South Africa and started teaching mathematics and physics. He joined d’Overbroeck’s in 2019 after taking four months out to explore southern and east Africa while living in a Land Rover Discovery.

Ian is passionate about teaching students to use mathematics and physics to understand the world (and the wider universe). His favourite moments in the A -Level maths and further maths courses are those when the application of an idea suddenly becomes clear.

When he’s not helping students achieve their ambitions and solving challenging mechanics problems, Ian can usually be found playing rugby or racing sailboats.

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UNRIVALLED CHOICE

We offer more than 36 A-level subjects, enabling students to choose a combination that best fits their strengths, interests, and future aspirations.

A-level Subjects