Further Mathematics
Overview
We use a variety of teaching methods including problem solving in pairs and groups, teacher presentations, student presentations, modelling and solving real world problems, graphic calculators, study packs, specialised maths software.
Course Outline
AS Maths
Unit 1 & 2: Core 1 and 2 – these cover the essential pure mathematical methods that can be applied to real world scenarios. Topics include solving equations, graphs and transformations, coordinate geometry, logarithms and exponentials, sequences and series, trigonometry, and differentiation and integration.
Unit 3: Mechanics 1 – this unit introduces mathematical modelling in physical situations, and studies motion in one or two dimensions (including the constant acceleration equations), forces on static objects, Newton’s Laws of Motion, momentum and projectiles.
AS Further Maths
Unit 1: Further Pure 1 – this unit extends your knowledge on quadratic equations, trigonometry, inequalities and calculus. It also introduces imaginary numbers/ complex numbers, Matrices, Series and Numerical methods.
Unit 3: Statistics 1 – in this unit students work with real data sets extending the work they have covered in GCSE Maths, such as the calculation of the numerical measures mean, median and mode, and the practical applications of correlation and regression. Elementary probability theory is also studied, and the Binomial and Normal distributions are introduced.
Unit 3: Decision 1 – this module covers a number of techniques which are important in the solution of large-scale organizational and business problems. It also introduces networks, algorithms, pseudo-code, sorting and linear programming.
Year 13
Students study a further 6 units to gain A Level Mathematics and an A Level Further Mathematics.
A level Maths
Units 4 & 5: Core 3 and 4 – these units develop the pure mathematical techniques from AS Level and introduce practical applications such as differential equations. New topics include numerical methods and vectors.
Unit 6: Mechanics 2 – students study more advanced physical situations including circular motion, moments and centers of mass, work and energy, further kinematics, and applications of different equations.
A level Further Maths
Units 4 & 5: FP2 and FP3 – these modules take some of the FP1 topics further and introduces some new topics like summation of finite series, De Moivre’s theorem, Hyperbolic functions, Polar coordinates, and second order differential equations.
Unit 6: Statistics 2 – this unit introduces such practical applications as hypothesis testing and contingency tables. New probability distributions include the Poisson distribution and the Rectangular distribution.
Assessment
No Coursework
Examination (100%)
Examining Board – AQA.
Special Entry Requirements
Grade A or A* in GSCE Mathematics. Please note that students take Further Maths as part of a five AS package, for which you need at least 8 GCSE passes at grade A*-B across 7 different subjects. In exceptional circumstances, if you do not fulfill the above criteria, but are a Mathematics specialist with grade A*, please consult with a senior manager who may allow you to take this as part of a 4 AS package.
Prohibited Options
Statistics and Use of Mathematics.
Career and Progression Opportunities
Students with Further Mathematics commonly take up top professional careers in a wide variety of areas. These include Insurance and Actuarial Work, Finance, Management, Operational Research, Civil, Mechanical and Electrical Engineering, Architecture, Government, Medical or Pharmaceutical Statisticians, Business Analysts and others. This is a very valuable option for students considering Mathematics, Physics, Engineering or Economics degrees.
Other Information
Students will be required to purchase a Casio graphical calculator from College.
The Maths department has a Twitter account (@solmaths) - follow them to learn more about what to expect from studying a Maths-related A level.
This information is correct for September 2013 entry.