A-Level Further Mathematics

Start date(s):
6 Sep 2021
2 years
Level 3
Course Code:
Study Mode:
Attendance Type:
Attendance Pattern:
Awarded by:
Framwellgate Moor Campus
Course costs:
16-18 - Free (UK & EEA)
19+ - £993 per year, your course may be free
(previous year's fees)


Course details may be subject to change

This course broadens and deepens the areas covered in AS/A-Level Mathematics. It develops your mathematical ability and introduces you to new topics such as matrices and complex numbers, which are vital for maths-rich degrees in areas such as sciences, engineering, statistics and computing, as well as mathematics itself.

Further Mathematics is usually studied alongside AS/ALevel Mathematics. It also complements A-Levels in Physics and Chemistry.

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A-Level Mathematics

This A-Level will develop your understanding of mathematics and mathematical processes in a way that promotes confidence and enjoyment.


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New College Durham Sixth Form welcomed Norwegian students from Elvebakken School in Oslo to study A-Levels.

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A-Level students visited Durham University as part of Welcome Week.

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A Reader in Mathematics and Astrophysics from Northumbria University came to the College to speak to our AS Maths students.

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Comic Relief 2015

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This Further Mathematics qualification is a separate qualification to A-Level Maths, however, it can only be studied if A-Level Maths is being studied alongside.

It is a fantastic qualification for enthusiastic and talented mathematicians, and provides students with clear progression into higher education degree courses in Mathematics, Physics, high-level Engineering and Computer Programming.

The material that you cover on the course requires a fantastic initial understanding of mathematics, which you will develop significantly over time, as you study more about the abstract and complex nature of mathematics.


You will study a range of topics, including:
  • Complex numbers
  • Three dimensional vectors
  • Hyperbolic functions
  • Volumes of revolution
  • Differential equations
  • Matrix algebra and financial modelling
  • The Maclaurin Series and De Moivre’s Theorem.

You will also adapt and expand on knowledge and skills in vectors, trigonometry, proof, sophisticated algebraic manipulation and calculus (studied in A-Level Maths) and learn how to work and convert between different coordinate systems, including Cartesian form, parametric form and polar coordinates.

You will study two applied components within Further Maths. One is Mechanics, which further develops the knowledge and skills acquired in the Mechanics component of A-Level Maths, whilst also introducing new topics on impulse and momentum; Hooke’s Law; Work, Power and Energy; and elastic collisions.

The other is on Discrete Mathematics, which is a modern area of mathematics based on algorithms and processes. These are the building blocks to a lot of computer programming. You will study: Graph Theory and Algorithms on graphs; Linear Programming; and Critical Path Analysis.

Time commitment

Average number of hours per week



Day and time of study will be confirmed before the start of your course.

Teaching & assessment

You will be taught by lecturers who are specialists in their subjects. Teaching is classroom based and involves group work and individual work. Independent study is essential outside of the classroom and frequent homework will be given.

You will sit monthly in-class assessment for which you will receive extensive feedback, as well as other assessments throughout the academic year, which will help you track your progress.

Terminal exams will be in May/June.

Maths and English

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Maths & English

Maths and English skills are essential for the workplace and university.


Work placements are an important part of the programme and all learners will be given assistance in finding a suitable position.

This A-Level, in combination with other subjects, could enable you to apply for degree courses in Accountancy, Aeronautical Engineering, Biochemistry, Medicine, or Veterinary Science.

What else?


Please note these prices are for the current academic year and may be subject to change for our courses starting in future years.

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Fees and funding

Find out more about course fees and financial support for UK, EU and non-EU students, plus how to pay your fees.

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Refund Policy 20-21

View our refund policy for further and higher education programmes (page 2) and full cost courses.


Additional Costs

Students will be expected to purchase an fx-991EX "Classwiz" calculator (or similar high functioning equivalent, in line with exam board standards). Approximate cost is £32.00.

Interview Instructions

You will be invited in for a tour of the College, and a one-to-one interview with one of our lecturers. A conditional offer may then be made subject to you meeting the entry criteria.
Further Education

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Find out more information about your college interview.

Entry Criteria

Ideally, you will hold a minimum of 5 GCSEs at 9 to 4 (A* to C) which must include maths and English. You will need a grade 7 or above in maths, and a grade 6 or above in GCSE English Language, and 6's in Biology or Core and Additional Science (BB equivalent).