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Further Maths - A Level (Aqa) at The Cotswold Academy

Course description

About the syllabus:

The A Level Further Mathematics course is designed to broaden and deepen mathematical knowledge and the skills developed while studying A Level Mathematics.

Further Mathematics is studied alongside A Level Mathematics and provides a challenging, stimulating experience for those who enjoy the subject.

The course involves six supervised lessons each week, usually taken by two teachers and encourages an independent work ethic to the highest degree for a successful outcome. Full teacher support is always on hand and is accessible to all our mathematicians on a daily basis.

Topics such as matrices and complex numbers are introduced for the first time, while others, such as algebra, calculus and trigonometry are studied in greater depth.

Students planning for a degree in Mathematics should take this course, but also students planning for degrees in areas such as Physics, Engineering or Economics will benefit from taking AS or A Level Further Mathematics to enhance their understanding and enrich their course content.

Course content

AS units in Year 12

Further Pure 1

Algebra and Graphs; Complex Numbers; Roots and Coefficients of a quadratic equation; Series; Calculus; Numerical Methods; Trigonometry; Matrices and Transformations. 1 hour 30mins -  33 1/3% of AS Level 16 2/3% of A Level

Statistics 2

Discrete Random Variables; Poisson Distribution; Continuous Random Variables; Estimation; Hypothesis Testing; Chi-Square (I2) Contingency Table Tests. 1 hour 30mins  33 1/3% of AS Level 16 2/3% of A Level

Decision 1

Algorithms; Graphs and Networks; Spanning Tree Problems; Matchings; Shortest Paths in Networks; Route Inspection Problem; Travelling Salesperson Problem; Linear Programming; Mathematical Modelling. 1 hour 30mins  33 1/3% of AS Level 16 2/3% of A Level

A2 units in Year 13

Mechanics 2

Mathematical Modelling; Moments and Centres of Mass; Kinematics; Newton’s Laws of Motion; Application of Differential Equations; Uniform Circular Motion; Work and Energy; Vertical Circular Motion. 1 hour 30mins  16 2/3% of A Level

Further Pure 3

Series and Limits; Polar Coordinates; Differential Equations – First Order; Differential Equations – Second Order. 1 hour 30mins  16 2/3% of A Level

Further Pure 4

Vectors and Three-Dimensional Coordinates; Geometry; Matrix Algebra; Solution of Linear Equations; Determinants; Linear Independence. 1 hour 30mins  16 2/3% of A Level

Entry requirements

A*-A achieved in GCSE Mathematics.

Students must also be studying A Level Mathematics.

Entry Criteria for A2 is at least a D at the requisite AS Level

How to apply

If you want to apply for this course, you will need to contact The Cotswold Academy directly.

Last updated date: 07 November 2014
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Key information

  • Start date: Next September
  • Duration: 2 Years


  • More information
    • Students benefit from all the new facilities that have been built over the last 4 years: the Sports Hall, the new English and Maths Blocks, refurbished Science labs, to name a few.  Furthermore, we have our own state-of-the-art Sixth Form Centre which provides a superb study room with networked PCs and a popular Common Room – a hive of student activity.