# Further Mathematics

## Science and Mathematics

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#### What will you be working towards?

 Code FM02 Qualification Type GCE A/AS Level or Equivalent Qualification Level Level 3 Course type Full Time

#### Overview

Why study this subject?

Study further Mathematics if you really love Mathematics. Further Mathematics is studied in addition to Mathematics A-level, so it takes your mathematical skills to another level. It requires both dedication to work at this academic level and commitment to apply the time to master the syllabus.

It will give you an advantage at university if you study sciences, computing, engineering, finance or economics and may be required for courses at some universities.

In addition to the skills required for Mathematics A-level, students must learn to work methodically and accurately through complex ideas and solutions, think more abstractly and manage their time effectively. Students must be prepared to work consistently through the course and will find support and encouragement in the formation of a close knit group who spend so much lesson time together.

Students will predominately study A Level Mathematics in the first year and further Mathematics in the second year. This means successful candidates will be awarded two A Levels in Mathematics at the end of Year 13. This two-year course allows flexibility for teaching and learning so all exams are taken in Year 13. The further Mathematics A Level has a compulsory core pure content; in addition students will study further mechanics and further statistics.

#### Details

Component 1: Core Pure Mathematics

• Proof

• Complex numbers

• Matrices

• Further algebra and functions

• Further calculus

• Further vectors

• Polar coordinates

• Hyperbolic functions

• Differential equations

Component 2: Further Statistics

• Discrete probability distributions.

• Poisson and binomial distributions

• Geometric and negative binomial distributions

• Hypothesis testing

• Central Limit theorem

• Chi Squared tests

• Probability generating functions

• Quality of tests

Component 3: Further Mechanics

• Momentum and impulse

• Work, energy and power

• Elastic strings and springs and elastic energy

• Elastic collisions in one dimension

• Elastic collisions in two dimensions

#### How will it be delivered?

Paper 1: Pure Core Mathematics 1

1 hour 30 minutes; 75 marks; 25% of the A Level qualification

Paper 2: Pure Core Mathematics 2

1 hour 30 minutes; 75 marks; 25% of the A Level qualification

Paper 3: Further Mechanics 1

1 hour 30 minutes; 75 marks; 25% of the A Level qualification

Paper 4: Further Statistics 1

1 hour 30 minutes; 75 marks; 25% of the A Level qualification