Mathematics (Further) A Level
About this course
This course allows you to study further topics within mathematics. You will have a greater understanding of the variety of ways in which mathematicians, scientists and engineers communicate mathematically. The course does not necessarily mean that the units will be more challenging than those modules studied on the more traditional A level Mathematics course.
What will I learn?
During the course you will study the following modules:
- Further Pure 1 - Roots of quadratics, complex numbers, matrices, trigonometry, calculus, series, numerical methods, asymptotes and rational functions, parabolas, ellipses and hyperbolas
- Further Pure Mathematics 2 - Complex numbers, roots of polynomials, summation of finite series, DeMoivre's theorem, inverse trig functions, hyperbolic functions, arc length and surface of revolution
- Further Pure 3 - Maclaurin's series, polar coordinates and curves, first and second order differential equations, Euler's formula and identity
And three modules from the following:
- Statistics 1 - Mean, mode, media, SD, variance, IQR and quartiles of data, normal distribution, binomial distribution, correlation and regression
- Mechanics 1 - Kinematics in 1 & 2D including motion under gravity, statics & forces, momentum in 1 & 2D, connected particles and projectiles
- Decision - Matching problems involving Hungarian algorithm, network flows, critical path analysis, dynamic programming, the Simplex algorithm, game theory
- Mechanics 2 - Moments, centres of mass, energy, kinematics and variable acceleration, horizontal and vertical circular motion
- Statistics 2 - Discrete probability distributions, Poisson distribution, confidence intervals, hypothesis testing for means, contingency tables and continuous probability distributions
How will I be assessed?
The course is assessed by examinations lasting 1.5 hours.
What do I need?
- 5 GCSEs at Grade A*-C including English and Maths at grade 4 (grade C)
- Maths at grade 6 (grade A)
In certain circumstances we will accept variations to this entry guide and create a personalised programme.
Where can it take me?
- Halesowen College - an exciting range of higher level courses, including Teaching, Applied Biology HNC, Computing HNC and Graphics, Web Design & Multi Media HNC
- University - a variety of related degrees
- Careers - wide variety including medicine, teaching and computing
If you choose to study the statistics module, a graphical calculator will strongly support your learning. Any other A Levels can be studied with A Level Further Mathematics.