Further Mathematics
Exam board: Edexcel
Course code: 9FM0
https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html (then select Change Specification for A level Further Mathematics)
Entry requirement: Grade 8 in Mathematics
A Level Further Mathematics is challenging and rewarding. Students will be introduced to interesting new areas of pure mathematics such as complex numbers and will explore applications of mathematics in a wider range of contexts. Further mathematics is often a preferred subject for many technology, computer science and engineering degree courses and is a requirement for most mathematics degree courses.
Subject Content and Course Assessment
Students choosing Further Mathematics will complete the A Level mathematics course and will sit all of the examinations for the mathematics course. In addition, they will sit the following examinations to obtain the A Level in Further Mathematics.
Students will sit four papers lasting 1 hour 30 minutes in the summer of Year 13.
Papers 1 and 2 will cover the compulsory Pure Mathematics content:
- Proof
- Complex numbers
- Matrices
- Further algebra and functions
- Further calculus
- Further vectors.
Papers 3 and 4 are optional units. (We will decide which units to take based on the strengths of the group.
The options we choose from are:
Further Mechanics 1: Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and springs.
Decision Mathematics 1: Algorithms and graph theory, algorithms on graphs, critical path analysis, linear programming.
Other options are:
Further Pure Mathematics 1: calculus, differential equations, coordinate systems, vectors, numerical methods, inequalities.
Further Statistics 1: Linear regression, Statistical distributions (discrete), Statistical distributions (continuous), Correlation, Hypothesis testing, Chi squared tests.
Further Pure Mathematics 2: Groups, further calculus, further matrix algebra, further complex numbers, number theory, further sequences and series.
Further Statistics 2: Probability distributions, combinations of random variables, estimation, confidence intervals and tests using a normal distribution, other hypothesis tests and confidence intervals, probability generating functions, quality of tests and estimators.
Further Mechanics 2: Further kinematics, further dynamics, motion in a circle, statics of rigid bodies, elastic collisions in two dimensions.
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